https://www.math.wisc.edu/wiki/api.php?action=feedcontributions&user=Nagreen&feedformat=atomUW-Math Wiki - User contributions [en]2019-11-14T08:19:14ZUser contributionsMediaWiki 1.30.1https://www.math.wisc.edu/wiki/index.php?title=Madison_Math_Circle&diff=17812Madison Math Circle2019-09-11T14:18:52Z<p>Nagreen: /* Meetings for Fall 2019 */</p>
<hr />
<div>[[Image:logo.png|right|440px]]<br />
<br />
For the site in Spanish, visit [[Math Circle de Madison]]<br />
=What is a Math Circle?=<br />
The Madison Math Circle is a weekly series of mathematically based activities aimed at interested middle school and high school students. It is an outreach program organized by the UW Math Department. Our goal is to provide a taste of exciting ideas in math and science. In the past we've had talks about plasma and weather in outer space, video game graphics, and encryption. In the sessions, students (and parents) are often asked to explore problems on their own, with the presenter facilitating a discussion. The talks are independent of one another, so new students are welcome at any point.<br />
<br />
The level of the audience varies quite widely, including a mix of middle school and high school students, and the speakers generally address this by considering subjects that will be interesting for a wide range of students.<br />
<br />
<br />
[[Image: MathCircle_2.jpg|500px]] [[Image: MathCircle_4.jpg|500px]] <br />
<br />
<br />
After each talk we'll have pizza provided by the Mathematics Department, and students will have an opportunity to mingle and chat with the speaker and with other participants, to ask questions about some of the topics that have been discussed, and also about college, careers in science, etc.<br />
<br />
'''The Madison Math circle was featured in Wisconsin State Journal:''' [http://host.madison.com/wsj/news/local/education/local_schools/school-spotlight-madison-math-circle-gives-young-students-a-taste/article_77f5c042-0b3d-11e1-ba5f-001cc4c03286.html check it out]!<br />
<br />
=All right, I want to come!=<br />
<br />
We have a weekly meeting, <b>Monday at 6pm in 3255 Helen C White Library</b>, during the school year. <b>New students are welcome at any point! </b> There is no fee and the talks are independent of one another, so you can just show up any week, but we ask all participants to take a moment to register by following the link below:<br />
<br />
[https://uwmadison.co1.qualtrics.com/jfe/form/SV_e9WdAs2SXNurWFD '''Math Circle Registration Form''']<br />
<br />
All of your information is kept private, and is only used by the Madison Math Circle organizer to help run the Circle. <br />
<br />
If you are a student, we hope you will tell other interested students about these talks, and speak with your parents or with your teacher about organizing a car pool to the UW campus. If you are a parent or a teacher, we hope you'll tell your students about these talks and organize a car pool to the UW (all talks take place in 3255 Helen C White Library, on the UW-Madison campus, right next to the Memorial Union).<br />
<br />
<br />
==Directions and parking==<br />
Our meetings are held on the 3rd floor of Helen C. White Hall in room 3255.<br />
<br />
<div class="center" style="width:auto; margin-left:auto; margin-right:auto;"><br />
[[File: Helencwhitemap.png|400px]]</div><br />
<br />
'''Parking.''' Parking on campus is rather limited. Here is as list of some options:<br />
<br />
*There is a parking garage in the basement of Helen C. White, with an hourly rate. Enter from Park Street.<br />
*A 0.5 mile walk to Helen C. White Hall via [http://goo.gl/cxTzJY these directions], many spots ('''free starting 4:30pm''') [http://goo.gl/maps/Gkx1C in Lot 26 along Observatory Drive].<br />
*A 0.3 mile walk to Helen C. White Hall via [http://goo.gl/yMJIRd these directions], many spots ('''free starting 4:30pm''') [http://goo.gl/maps/vs17X in Lot 34]. <br />
*A 0.3 mile walk to Helen C. White Hall via [http://goo.gl/yMJIRd these directions], 2 metered spots (25 minute max) [http://goo.gl/maps/ukTcu in front of Lathrop Hall].<br />
*A 0.2 mile walk to Helen C. White Hall via [http://goo.gl/b8pdk2 these directions] 6 metered spots (25 minute max) around [http://goo.gl/maps/6EAnc the loop in front of Chadbourne Hall] .<br />
*For more information, see the [http://transportation.wisc.edu/parking/parking.aspx UW-Madison Parking Info website].<br />
<br />
==Email list==<br />
The best way to keep up to date with the what is going is by signing up for our email list. Send an empty email to join-mathcircle@lists.wisc.edu<br />
<br />
==Contact the organizers==<br />
The Madison Math Circle is organized by a group of professors and graduate students from the [http://www.math.wisc.edu Department of Mathematics] at the UW-Madison. If you have any questions, suggestions for topics, or so on, just email the '''organizers''' [mailto:mathcircleorganizers@lists.wisc.edu here]. We are always interested in feedback!<br />
<center><br />
<gallery widths=480px heights=240px mode="packed"><br />
File:de.jpg|[https://www.math.wisc.edu/~derman/ Prof. Daniel Erman]<br />
File:Betsy.jpg|[http://www.math.wisc.edu/~stovall/ Prof. Betsy Stovall]<br />
</gallery><br />
<br />
<gallery widths=500px heights=250px mode="packed"><br />
File:juliettebruce.jpg|[http://www.math.wisc.edu/~juliettebruce/ Juliette Bruce]<br />
File:Ee.jpg|[http://www.math.wisc.edu/~evaelduque/ Eva Elduque]<br />
File:mrjulian.jpg|[http://www.math.wisc.edu/~mrjulian/ Ryan Julian]<br />
File:soumyasankar.jpg|[http://www.math.wisc.edu/~soumyasankar Soumya Sankar]<br />
</gallery><br />
</center><br />
<br />
==Donations==<br />
Please consider donating to the Madison Math Circle. As noted in our [https://www.math.wisc.edu/wiki/images/Math_Circle_Newsletter.pdf annual report], our main costs consist of pizza and occasional supplies for the speakers. So far our costs have been covered by donations from the UW Mathematics Department as well as a generous gifts from a private donor. But our costs are rising, primarily because this year we expect to hold more meetings than in any previous year. In fact, this year, we expect to spend at least $2500 on pizza and supplies alone.<br />
<br />
So please consider donating to support your math circle! The easiest way to donate is to go to the link:<br />
<br />
[http://www.math.wisc.edu/donate Online Donation Link]<br />
<br />
There are instructions on that page for donating to the Math Department. <b> Be sure and add a Gift Note saying that the donation is intended for the "Madison Math Circle"!</b> The money goes into the Mathematics Department Annual Fund and is routed through the University of Wisconsin Foundation, which is convenient for record-keeping, etc.<br />
<br />
Alternately, you can bring a check to one of the Math Circle Meetings. If you write a check, be sure to make it payable to the "WFAA" and add the note "Math Circle Donation" on the check. <br />
<br />
Or you can just pay in cash, and we'll give you a receipt.<br />
<br />
==Help us grow!==<br />
If you like Math Circle, please help us continue to grow! Students, parents, and teachers can help by:<br />
*Posting our [https://www.math.wisc.edu/wiki/images/MMC_Flyer_2016.pdf '''flyer'''] at schools or anywhere that might have interested students<br />
*Discussing the Math Circle with students, parents, teachers, administrators, and others<br />
*Making an announcement about Math Circle at PTO meetings<br />
*Donating to Math Circle<br />
Contact the organizers if you have questions or your own ideas about how to help out.<br />
<br />
=Meetings for Fall 2019=<br />
<br />
<center><br />
<br />
Talks start at '''6pm in room 3255 of Helen C. White Library''', unless otherwise noted.<br />
<br />
{| style="color:black; font-size:120%" border="1" cellpadding="14" cellspacing="0"<br />
|-<br />
! colspan="3" style="background: #e8b2b2;" align="center" | Fall 2019<br />
|-<br />
! Date !! Speaker !! Topic<br />
|-<br />
| September 23, 2019 || TBD || TBD<br />
|-<br />
| September 30, 2019 || TBD || TBD<br />
|-<br />
| October 7, 2019 || TBD || TBD<br />
|-<br />
| October 14, 2019 || TBD || TBD<br />
|-<br />
| October 21, 2019 || TBD || TBD<br />
|-<br />
| October 28, 2019 || TBD || TBD<br />
|-<br />
| November 4, 2019 || TBD || TBD<br />
|-<br />
| November 11, 2019 || TBD || TBD<br />
|-<br />
| November 18, 2019 || TBD || TBD<br />
|-<br />
|}<br />
<br />
</center><br />
<br />
=Off-Site Meetings=<br />
<br />
We will hold some Math Circle meetings at local high schools on early release days. If you are interesting in having us come to your high school, please contact us! TBD.<br />
<br />
<br />
<center><br />
<br />
</center><br />
<br />
=Useful Resources=<br />
==Annual Reports==<br />
[https://www.math.wisc.edu/wiki/images/Math_Circle_Newsletter.pdf 2013-2014 Annual Report]<br />
<br />
== Archived Abstracts ==<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Madison_Math_Circle_2016-2017 2016 - 2017 Math Circle Page]<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Madison_Math_Circle_Abstracts_2016-2017 2016 - 2017 Abstracts]<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Madison_Math_Circle_2015-2016 2015 - 2016 Math Circle Page]<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Math_Circle_de_Madison_2015-2016 2015 - 2016 Math Circle Page (Spanish)]<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Madison_Math_Circle_Abstracts_2015-2016 2015 - 2015 Abstracts]<br />
<br />
[[Archived Math Circle Material]]<br />
<br />
==Link for presenters (in progress)==<br />
[https://www.math.wisc.edu/wiki/index.php/Math_Circle_Presentations Advice For Math Circle Presenters]<br />
<br />
[http://www.mathcircles.org/math-problems-2/ Sample Talk Ideas/Problems]<br />
<br />
[http://www.mathcircles.org/content/circle-box "Circle in a Box"]</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=File:List_server.pdf&diff=17811File:List server.pdf2019-09-11T13:32:24Z<p>Nagreen: </p>
<hr />
<div></div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Graduate_Logic_Seminar&diff=17682Graduate Logic Seminar2019-08-26T19:40:13Z<p>Nagreen: </p>
<hr />
<div>The Graduate Logic Seminar is an informal space where graduate student and professors present topics related to logic which are not necessarly original or completed work. This is an space focus principally in practicing presentation skills or learning materials that are not usually presented on a class.<br />
<br />
* '''When:''' TBD<br />
* '''Where:''' TBD.<br />
* '''Organizers:''' [https://www.math.wisc.edu/~omer/ Omer Mermelstein]<br />
<br />
The talk schedule is arranged at the beginning of each semester. If you would like to participate, please contact one of the organizers.<br />
<br />
Sign up for the graduate logic seminar mailing list: join-grad-logic-sem@lists.wisc.edu<br />
<br />
<br />
<br />
== Fall 2019 ==<br />
<br />
TBD<br />
<br />
==Previous Years==<br />
<br />
The schedule of talks from past semesters can be found [[Graduate Logic Seminar, previous semesters|here]].</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Colloquia&diff=17611Colloquia2019-08-05T13:50:07Z<p>Nagreen: /* Fall 2019 */</p>
<hr />
<div>= Mathematics Colloquium =<br />
<br />
All colloquia are on Fridays at 4:00 pm in Van Vleck B239, '''unless otherwise indicated'''.<br />
<br />
<br />
<br />
==Fall 2019==<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Sept 6<br />
| <br />
|<br />
| <br />
|-<br />
|Sept 13<br />
| [https://www.math.ksu.edu/~soibel/ Yan Soibelman] (Kansas State)<br />
|[[#Yan Soibelman (Kansas State)| Riemann-Hilbert correspondence and Fukaya categories ]]<br />
| Caldararu<br />
|<br />
|-<br />
|Sept 16 '''Monday Room 911'''<br />
| Alicia Dickenstein (Buenos Aires)<br />
|[[# TBA| TBA ]]<br />
| Craciun<br />
|<br />
|-<br />
|Sept 20<br />
| Jianfeng Lu (Duke)<br />
|[[#TBA | TBA]]<br />
| Qin<br />
|<br />
|-<br />
|Sept 27<br />
|Elchnanan Mossel (MIT) Distinguished Lecture<br />
|-<br />
|Oct 4<br />
|<br />
|<br />
|-<br />
|Oct 11<br />
|<br />
|-<br />
|Oct 18<br />
|<br />
|<br />
|<br />
|-<br />
|Oct 25<br />
|<br />
|-<br />
|Nov 1<br />
|Possibly reserved for job talk?<br />
|<br />
|-<br />
|Nov 8<br />
|Reserved for job talk<br />
|<br />
|-<br />
|Nov 15<br />
|Reserved for job talk<br />
|<br />
|-<br />
|Nov 22<br />
|Reserved for job talk<br />
|<br />
|-<br />
|Nov 29<br />
|Thanksgiving<br />
|<br />
|-<br />
|Dec 6<br />
|Reserved for job talk<br />
|<br />
|-<br />
|Dec 13<br />
|Reserved for job talk<br />
|<br />
|}<br />
<br />
==Spring 2020==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|<br />
|-<br />
|Jan 24<br />
|<br />
|-<br />
|Jan 31<br />
|<br />
|-<br />
|Feb 7<br />
|<br />
|-<br />
|Feb 14<br />
|<br />
|-<br />
|Feb 21<br />
|<br />
|-<br />
|Feb 28<br />
|<br />
|-<br />
|March 6<br />
|<br />
|-<br />
|March 13<br />
|<br />
|-<br />
|March 20<br />
|Spring break<br />
|<br />
|-<br />
|March 27<br />
|(Moduli Spaces Conference)<br />
|<br />
|Boggess, Sankar<br />
|-<br />
|April 3<br />
|<br />
|-<br />
|April 10<br />
| Sarah Koch (Michigan)<br />
|<br />
| Bruce (WIMAW)<br />
|-<br />
|April 17<br />
|Caroline Turnage-Butterbaugh (Carleton College)<br />
|<br />
|Marshall<br />
|-<br />
|April 24<br />
|<br />
|-<br />
|May 1<br />
|Robert Lazarsfeld (Stony Brook)<br />
|Distinguished lecture<br />
|Erman<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
===Yan Soibelman (Kansas State)===<br />
<br />
Title: Riemann-Hilbert correspondence and Fukaya categories<br />
<br />
Abstract: In this talk I am going to discuss the role of Fukaya categories in the Riemann-Hilbert correspondence<br />
for differential, q-difference and elliptic difference equations in dimension one.<br />
This approach not only gives a unified answer for several versions of the Riemann-Hilbert correspondence but also leads to a natural formulation<br />
of the non-abelian Hodge theory in dimension one. It also explains why periodic monopoles<br />
should appear as harmonic objects in this generalized non-abelian Hodge theory.<br />
All that is a part of the bigger project ``Holomorphic Floer theory",<br />
joint with Maxim Kontsevich.<br />
<br />
== Past Colloquia ==<br />
<br />
[[Colloquia/Blank|Blank]]<br />
<br />
[[Colloquia/Spring2019|Spring 2019]]<br />
<br />
[[Colloquia/Fall2018|Fall 2018]]<br />
<br />
[[Colloquia/Spring2018|Spring 2018]]<br />
<br />
[[Colloquia/Fall2017|Fall 2017]]<br />
<br />
[[Colloquia/Spring2017|Spring 2017]]<br />
<br />
[[Archived Fall 2016 Colloquia|Fall 2016]]<br />
<br />
[[Colloquia/Spring2016|Spring 2016]]<br />
<br />
[[Colloquia/Fall2015|Fall 2015]]<br />
<br />
[[Colloquia/Spring2014|Spring 2015]]<br />
<br />
[[Colloquia/Fall2014|Fall 2014]]<br />
<br />
[[Colloquia/Spring2014|Spring 2014]]<br />
<br />
[[Colloquia/Fall2013|Fall 2013]]<br />
<br />
[[Colloquia 2012-2013|Spring 2013]]<br />
<br />
[[Colloquia 2012-2013#Fall 2012|Fall 2012]]</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=17488Analysis Seminar2019-06-03T20:45:04Z<p>Nagreen: </p>
<hr />
<div>'''Fall 2019 and Spring 2020 Analysis Seminar Series<br />
'''<br />
<br />
The seminar will meet Tuesdays, 4:00 p.m. in VV B139, unless otherwise indicated.<br />
<br />
If you wish to invite a speaker please contact Brian at street(at)math<br />
<br />
===[[Previous Analysis seminars]]===<br />
<br />
= Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
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|-<br />
|Date<br />
| Person<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| Sponsor<br />
|-<br />
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| Institution<br />
|[[#linktoabstract | Title ]]<br />
| Sponsor<br />
|-<br />
<br />
|}<br />
<br />
=Abstracts=<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=17487Analysis Seminar2019-06-03T20:44:54Z<p>Nagreen: </p>
<hr />
<div>'''Fall 2019 and Spring 2020 Analysis Seminar Series<br />
'''<br />
The seminar will meet Tuesdays, 4:00 p.m. in VV B139, unless otherwise indicated.<br />
<br />
If you wish to invite a speaker please contact Brian at street(at)math<br />
<br />
===[[Previous Analysis seminars]]===<br />
<br />
= Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Date<br />
| Person<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| Sponsor<br />
|-<br />
|Date<br />
| Person<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| Sponsor<br />
|-<br />
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|[[#linktoabstract | Title ]]<br />
| Sponsor<br />
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|[[#linktoabstract | Title ]]<br />
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|[[#linktoabstract | Title ]]<br />
| Sponsor<br />
|-<br />
<br />
|}<br />
<br />
=Abstracts=<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
<br />
===Name===<br />
<br />
Title<br />
<br />
Abstract<br />
<br />
=Extras=<br />
[[Blank Analysis Seminar Template]]</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=17486Analysis Seminar2019-06-03T20:44:08Z<p>Nagreen: </p>
<hr />
<div><br />
<br />
<br />
== This is the schedule for the Fall 2019 and Spring 2020 Analysis Seminar Series.==<br />
<br />
The seminar will meet Tuesdays, 4:00 p.m. in VV B139, unless otherwise indicated.<br />
<br />
If you wish to invite a speaker please contact Brian at street(at)math<br />
<br />
===[[Previous Analysis seminars]]===<br />
<br />
= Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Date<br />
| Person<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| Sponsor<br />
|-<br />
|Date<br />
| Person<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| Sponsor<br />
|-<br />
|Date<br />
| Person<br />
| Institution<br />
|[[#linktoabstract | Title ]]<br />
| Sponsor<br />
|-<br />
|Date<br />
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[[Blank Analysis Seminar Template]]</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=17485Analysis Seminar2019-06-03T20:44:00Z<p>Nagreen: </p>
<hr />
<div><br />
<br />
<br />
== This is the schedule for the Fall 2019 and Spring 2020 Analysis Seminar Series.<br />
==<br />
<br />
The seminar will meet Tuesdays, 4:00 p.m. in VV B139, unless otherwise indicated.<br />
<br />
If you wish to invite a speaker please contact Brian at street(at)math<br />
<br />
===[[Previous Analysis seminars]]===<br />
<br />
= Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
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[[Blank Analysis Seminar Template]]</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=17484Analysis Seminar2019-06-03T20:43:39Z<p>Nagreen: </p>
<hr />
<div>'''Analysis Seminar'''<br />
<br />
This is the schedule for the Fall 2019 and Spring 2020 Analysis Seminar Series.<br />
<br />
The seminar will meet Tuesdays, 4:00 p.m. in VV B139, unless otherwise indicated.<br />
<br />
If you wish to invite a speaker please contact Brian at street(at)math<br />
<br />
===[[Previous Analysis seminars]]===<br />
<br />
= Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
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|-<br />
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[[Blank Analysis Seminar Template]]</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Analysis_Seminar&diff=17483Analysis Seminar2019-06-03T20:43:03Z<p>Nagreen: </p>
<hr />
<div>'''Analysis Seminar<br />
'''<br />
<br />
The seminar will meet Tuesdays, 4:00 p.m. in VV B139, unless otherwise indicated.<br />
<br />
If you wish to invite a speaker please contact Brian at street(at)math<br />
<br />
===[[Previous Analysis seminars]]===<br />
<br />
= Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
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=Abstracts=<br />
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[[Blank Analysis Seminar Template]]</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Fall_2018_and_Spring_2019_Analysis_Seminars&diff=17482Fall 2018 and Spring 2019 Analysis Seminars2019-06-03T20:42:04Z<p>Nagreen: Created page with "'''Analysis Seminar ''' The seminar will meet Tuesdays, 4:00 p.m. in VV B139, unless otherwise indicated. If you wish to invite a speaker please contact Brian at street(a..."</p>
<hr />
<div>'''Analysis Seminar<br />
'''<br />
<br />
The seminar will meet Tuesdays, 4:00 p.m. in VV B139, unless otherwise indicated.<br />
<br />
If you wish to invite a speaker please contact Brian at street(at)math<br />
<br />
===[[Previous Analysis seminars]]===<br />
<br />
= Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Sept 11<br />
| Simon Marshall<br />
| UW Madison<br />
|[[#Simon Marshall | Integrals of eigenfunctions on hyperbolic manifolds ]]<br />
| <br />
|-<br />
|'''Wednesday, Sept 12'''<br />
| Gunther Uhlmann <br />
| University of Washington<br />
| Distinguished Lecture Series<br />
| See colloquium website for location<br />
|-<br />
|'''Friday, Sept 14'''<br />
| Gunther Uhlmann <br />
| University of Washington<br />
| Distinguished Lecture Series<br />
| See colloquium website for location<br />
|-<br />
|Sept 18<br />
| Grad Student Seminar<br />
| <br />
|<br />
|<br />
|-<br />
|Sept 25<br />
| Grad Student Seminar<br />
|<br />
|<br />
|<br />
|-<br />
|Oct 9<br />
| Hong Wang<br />
| MIT<br />
|[[#Hong Wang | About Falconer distance problem in the plane ]]<br />
| Ruixiang <br />
|-<br />
|Oct 16<br />
| Polona Durcik<br />
| Caltech<br />
|[[#Polona Durcik | Singular Brascamp-Lieb inequalities and extended boxes in R^n ]]<br />
| Joris <br />
|-<br />
|Oct 23<br />
| Song-Ying Li<br />
| UC Irvine<br />
|[[#Song-Ying Li | Estimates for the first positive eigenvalue of Kohn Laplacian on a pseudo-Hermitian manifold ]]<br />
| Xianghong <br />
|-<br />
|Oct 30<br />
|Grad student seminar<br />
|<br />
|<br />
|<br />
|-<br />
|Nov 6<br />
| Hanlong Fang<br />
| UW Madison<br />
|[[#Hanlong Fang | A generalization of the theorem of Weil and Kodaira on prescribing residues ]]<br />
| Brian<br />
|-<br />
||'''Monday, Nov. 12, B139'''<br />
| Kyle Hambrook<br />
| San Jose State University<br />
|[[#Kyle Hambrook | Fourier Decay and Fourier Restriction for Fractal Measures on Curves ]]<br />
| Andreas<br />
|-<br />
|Nov 13<br />
| Laurent Stolovitch<br />
| Université de Nice - Sophia Antipolis<br />
|[[#Laurent Stolovitch | Equivalence of Cauchy-Riemann manifolds and multisummability theory ]]<br />
|Xianghong<br />
|-<br />
|Nov 20<br />
| Grad Student Seminar<br />
| <br />
|[[#linktoabstract | ]]<br />
| <br />
|-<br />
|Nov 27<br />
| No Seminar<br />
| <br />
|[[#linktoabstract | ]]<br />
| <br />
|-<br />
|Dec 4<br />
| No Seminar<br />
|[[#linktoabstract | ]]<br />
| <br />
|-<br />
|Jan 22<br />
| Brian Cook<br />
| Kent<br />
|[[#Brian Cook | Equidistribution results for integral points on affine homogenous algebraic varieties ]]<br />
| Street<br />
|-<br />
|Jan 29<br />
| No Seminar<br />
| <br />
|[[#linktoabstract | ]]<br />
|<br />
|-<br />
|Feb 5, '''B239'''<br />
| Alexei Poltoratski<br />
| Texas A&M<br />
|[[#Alexei Poltoratski | Completeness of exponentials: Beurling-Malliavin and type problems ]]<br />
| Denisov<br />
|-<br />
|'''Friday, Feb 8'''<br />
| Aaron Naber<br />
| Northwestern University<br />
|[[#linktoabstract | A structure theory for spaces with lower Ricci curvature bounds ]]<br />
| See colloquium website for location<br />
|-<br />
|Feb 12<br />
| Shaoming Guo<br />
| UW Madison<br />
|[[#Shaoming Guo | Polynomial Roth theorems in Salem sets ]]<br />
| <br />
|-<br />
|'''Wed, Feb 13, B239'''<br />
| Dean Baskin<br />
| TAMU<br />
|[[# Dean Baskin | Radiation fields for wave equations ]]<br />
| Colloquium<br />
|-<br />
|'''Friday, Feb 15'''<br />
| Lillian Pierce<br />
| Duke<br />
|[[#Lillian Pierce | Short character sums ]]<br />
| Colloquium<br />
|-<br />
|'''Monday, Feb 18, 3:30 p.m, B239.'''<br />
| Daniel Tataru<br />
| UC Berkeley<br />
|[[#Daniel Tataru | A Morawetz inequality for water waves ]]<br />
| PDE Seminar<br />
|-<br />
|Feb 19<br />
| Wenjia Jing <br />
|Tsinghua University<br />
|Periodic homogenization of Dirichlet problems in perforated domains: a unified proof<br />
| PDE Seminar<br />
|-<br />
|Feb 26<br />
| No Seminar<br />
|<br />
|<br />
|-<br />
|Mar 5<br />
| Loredana Lanzani<br />
| Syracuse University<br />
|[[#Loredana Lanzani | On regularity and irregularity of the Cauchy-Szegő projection in several complex variables ]]<br />
| Xianghong<br />
|-<br />
|Mar 12<br />
| Trevor Leslie<br />
| UW Madison<br />
|[[#Trevor Leslie | Energy Equality for the Navier-Stokes Equations at the First Possible Blowup Time ]]<br />
|<br />
|-<br />
|Mar 19<br />
|Spring Break!<br />
| <br />
|<br />
|<br />
|-<br />
|Mar 26<br />
| No seminar<br />
| <br />
|[[#linktoabstract | ]]<br />
| <br />
|-<br />
|Apr 2<br />
| Stefan Steinerberger<br />
| Yale<br />
|[[#Stefan Steinerberger | Wasserstein Distance as a Tool in Analysis ]]<br />
| Shaoming, Andreas<br />
|-<br />
<br />
|Apr 9<br />
| Franc Forstnerič <br />
| Unversity of Ljubljana<br />
|[[#Franc Forstnerič | Minimal surfaces by way of complex analysis ]]<br />
| Xianghong, Andreas<br />
|-<br />
|Apr 16<br />
| Andrew Zimmer<br />
| Louisiana State University<br />
|[[#Andrew Zimmer | The geometry of domains with negatively pinched Kaehler metrics ]]<br />
| Xianghong<br />
|-<br />
|Apr 23<br />
| Brian Street<br />
| University of Wisconsin-Madison<br />
|[[#Brian Street | Maximal Hypoellipticity ]]<br />
| Street<br />
|-<br />
|Apr 30<br />
| Zhen Zeng<br />
| UPenn<br />
|[[#Zhen Zeng | Decay property of multilinear oscillatory integrals ]]<br />
| Shaoming<br />
|-<br />
|*[https://www.math.wisc.edu/seeger2019/?q=node/2 Madison Lectures in Fourier Analysis]<br />
|-<br />
|Summer<br />
|-<br />
|Sept 10<br />
|Jose Madrid<br />
|UCLA<br />
|<br />
|Andreas, David<br />
|-<br />
|Oct 15<br />
|Bassam Shayya<br />
|American University of Beirut<br />
|<br />
|Andreas, Betsy<br />
<br />
|}<br />
<br />
=Abstracts=<br />
===Simon Marshall===<br />
<br />
''Integrals of eigenfunctions on hyperbolic manifolds''<br />
<br />
Let X be a compact hyperbolic manifold, and let Y be a totally geodesic closed submanifold in X. I will discuss the problem of bounding the integral of a Laplace eigenfunction on X over Y, as the eigenvalue tends to infinity. I will present an upper bound for these integrals that is sharp on average, and briefly describe ongoing work with Farrell Brumley in which we attempt to produce eigenfunctions with very large periods.<br />
<br />
<br />
===Hong Wang===<br />
<br />
''About Falconer distance problem in the plane''<br />
<br />
If E is a compact set of Hausdorff dimension greater than 5/4 on the plane, we prove that there is a point x\in E such that the set of distances between x and E has positive Lebesgue measure. Our result improves upon Wolff's theorem for dim E> 4/3. This is joint work with Larry Guth, Alex Iosevich and Yumeng Ou. <br />
<br />
===Polona Durcik===<br />
<br />
''Singular Brascamp-Lieb inequalities and extended boxes in R^n''<br />
<br />
Brascamp-Lieb inequalities are L^p estimates for certain multilinear forms on functions on Euclidean spaces. In this talk we consider singular Brascamp-Lieb inequalities, which arise when one of the functions is replaced by a Calderon-Zygmund kernel. We focus on a family of multilinear forms in R^n with a certain cubical structure and discuss their connection to some patterns in positive density subsets in R^n. Based on joint works with V. Kovac and C. Thiele.<br />
<br />
<br />
===Song-Ying Li===<br />
<br />
''Estimates for the first positive eigenvalue of Kohn Laplacian on a pseudo-Hermitian manifold''<br />
<br />
In this talk, I will present my recent works with my collaborators on the lower bound and upper bounds estimates<br />
for the first positive eigenvalues of Kohn Laplacian and sub-Laplacian on a strictly pseudoconvex pseudo-Hermitian CR manifold,<br />
which include CR Lichnerowicz-Obata theorem for the lower and upper bounds for the first positive eigenvalue for the<br />
Kohn Laplacian on strictly pseudoconvex hypersurfaces.<br />
<br />
<br />
===Hanlong Fan===<br />
<br />
''A generalization of the theorem of Weil and Kodaira on prescribing residues''<br />
<br />
An old theorem of Weil and Kodaira says that: For a K\"ahler manifold X, there exists a closed meromorphic one-form with residue divisor D if and only if D is homologous to zero. In this talk, I will generalize Weil and Kodaira's criterion to non-K\"ahler manifolds.<br />
<br />
===Kyle Hambrook===<br />
<br />
''Fourier Decay and Fourier Restriction for Fractal Measures on Curves''<br />
<br />
I will discuss my recent work on some problems concerning<br />
Fourier decay and Fourier restriction for fractal measures on curves.<br />
<br />
===Laurent Stolovitch===<br />
<br />
''Equivalence of Cauchy-Riemann manifolds and multisummability theory''<br />
<br />
We apply the multisummability theory from Dynamical Systems to CR-geometry. As the main result, we show that two real-analytic hypersurfaces in $\mathbb C^2$ are formally equivalent, if and only if they are $C^\infty$ CR-equivalent at the respective point. As a corollary, we prove that all formal equivalences between real-algebraic Levi-nonflat hypersurfaces in $\mathbb C^2$ are algebraic (and in particular convergent). This is a joint work with I. Kossovskiy and B. Lamel.<br />
<br />
<br />
===Brian Cook===<br />
<br />
''Equidistribution results for integral points on affine homogenous algebraic varieties''<br />
<br />
Let Q be a homogenous integral polynomial of degree at least two. We consider certain results and questions concerning the distribution of the integral points on the level sets of Q.<br />
<br />
===Alexei Poltoratski===<br />
<br />
''Completeness of exponentials: Beurling-Malliavin and type problems''<br />
<br />
This talk is devoted to two old problems of harmonic analysis mentioned in the title. Both problems ask when a family of complex exponentials is complete (spans) an L^2-space. The Beruling-Malliavin problem was solved in the early 1960s and I will present its classical solution along with modern generalizations and applications. I will then discuss history and recent progress in the type problem, which stood open for more than 70 years.<br />
<br />
<br />
===Shaoming Guo===<br />
<br />
''Polynomial Roth theorems in Salem sets''<br />
<br />
Let P(t) be a polynomial of one real variable. I will report a result on searching for patterns of the form (x, x+t, x+P(t)) within Salem sets, whose Hausdorff dimension is sufficiently close to one. Joint work with Fraser and Pramanik. <br />
<br />
<br />
<br />
<br />
===Dean Baskin===<br />
<br />
''Radiation fields for wave equations''<br />
<br />
Radiation fields are rescaled limits of solutions of wave equations near "null infinity" and capture the radiation pattern seen by a distant observer. They are intimately connected with the Fourier and Radon transforms and with scattering theory. In this talk, I will define and discuss radiation fields in a few contexts, with an emphasis on spacetimes that look flat near infinity. The main result is a connection between the asymptotic behavior of the radiation field and a family of quantum objects on an associated asymptotically hyperbolic space.<br />
<br />
===Lillian Pierce===<br />
<br />
''Short character sums''<br />
<br />
A surprisingly diverse array of problems in analytic number theory have at their heart a problem of bounding (from above) an exponential sum, or its multiplicative cousin, a so-called character sum. For example, both understanding the Riemann zeta function or Dirichlet L-functions inside the critical strip, and also counting solutions to Diophantine equations via the circle method or power sieve methods, involve bounding such sums. In general, the sums of interest fall into one of two main regimes: complete sums or incomplete sums, with this latter regime including in particular “short sums.” Short sums are particularly useful, and particularly resistant to almost all known methods. In this talk, we will see what makes a sum “short,” sketch why it would be incredibly powerful to understand short sums, and discuss a curious proof from the 1950’s which is still the best way we know to bound short sums. We will end by describing new work which extends the ideas of this curious proof to bound short sums in much more general situations.<br />
<br />
===Loredana Lanzani===<br />
<br />
''On regularity and irregularity of the Cauchy-Szegő projection in several complex variables''<br />
<br />
This talk is a survey of my latest, and now final, collaboration with Eli Stein.<br />
<br />
It is known that for bounded domains $D$ in $\mathbb C^n$ that are of class $C^2$ and are strongly pseudo-convex, the Cauchy-Szegő projection is bounded in $L^p(\text{b}D, d\Sigma)$ for $1<p<\infty$. (Here $d\Sigma$ is induced Lebesgue measure.) We show, using appropriate worm domains, that this fails for any $p\neq 2$, when we assume that the domain in question is only weakly pseudo-convex. Our starting point are the ideas of Kiselman-Barrett introduced more than 30 years ago in the analysis of the Bergman projection. However the study of the Cauchy-Szegő projection raises a number of new issues and obstacles that need to be overcome. We will also compare these results to the analogous problem for the Cauchy-Leray integral, where however the relevant counter-example is of much simpler nature.<br />
<br />
===Trevor Leslie===<br />
<br />
''Energy Equality for the Navier-Stokes Equations at the First Possible Blowup Time''<br />
<br />
In this talk, we discuss the problem of energy equality for strong solutions of the Navier-Stokes Equations (NSE) at the first time where such solutions may lose regularity. Our approach is motivated by a famous theorem of Caffarelli, Kohn, and Nirenberg, which states that the set of singular points associated to a suitable weak solution of the NSE has parabolic Hausdorff dimension of at most 1. In particular, we furnish sufficient conditions for energy equality which depend on the dimension of the singularity set in addition to time and space integrability assumptions; in doing so we improve upon the classical results when attention is restricted to the first blowup time. When our method is inconclusive, we are able to quantify the possible failure of energy equality in terms of the lower local dimension and the ''concentration dimension'' of a certain measure associated to the solution. The work described is joint with Roman Shvydkoy (UIC).<br />
<br />
===Stefan Steinerberger===<br />
<br />
''Wasserstein Distance as a Tool in Analysis''<br />
<br />
Wasserstein Distance is a way of measuring the distance between two probability distributions (minimizing it is a main problem in Optimal Transport). We will give a gentle Introduction into what it means and then use it to prove (1) a completely elementary but possibly new and quite curious inequality for real-valued functions and (2) a statement along the following lines: linear combinations of eigenfunctions of elliptic operators corresponding to high frequencies oscillate a lot and vanish on a large set of co-dimension 1 (this is already interesting for trigonometric polynomials on the 2-torus, sums of finitely many sines and cosines, whose sum has to vanish on long lines) and (3) some statements in Basic Analytic Number Theory that drop out for free as a byproduct.<br />
<br />
===Franc Forstnerič===<br />
<br />
''Minimal surfaces by way of complex analysis''<br />
<br />
After a brief historical introduction, I will present some recent developments in the theory of minimal surfaces in Euclidean spaces which have been obtained by complex analytic methods. The emphasis will be on results pertaining to the global theory of minimal surfaces including Runge and Mergelyan approximation, the conformal Calabi-Yau problem, properly immersed and embedded minimal surfaces, and a new result on the Gauss map of minimal surfaces.<br />
<br />
===Andrew Zimmer===<br />
<br />
''The geometry of domains with negatively pinched Kaehler metrics''<br />
<br />
Every bounded pseudoconvex domain in C^n has a natural complete metric: the Kaehler-Einstein metric constructed by Cheng-Yau. When the boundary of the domain is strongly pseudoconvex, Cheng-Yau showed that the holomorphic sectional curvature of this metric is asymptotically a negative constant. In this talk I will describe some partial converses to this result, including the following: if a smoothly bounded convex domain has a complete Kaehler metric with close to constant negative holomorphic sectional curvature near the boundary, then the domain is strongly pseudoconvex. This is joint work with F. Bracci and H. Gaussier.<br />
<br />
<br />
===Brian Street===<br />
<br />
''Maximal Hypoellipticity''<br />
<br />
In 1974, Folland and Stein introduced a generalization of ellipticity known as maximal hypoellipticity. This talk will be an introduction to this concept and some of the ways it generalizes ellipticity.<br />
<br />
<br />
===Zhen Zeng===<br />
<br />
''Decay property of multilinear oscillatory integrals''<br />
<br />
In this talk, I will be talking about the conditions of the phase function $P$ and the linear mappings $\{\pi_i\}_{i=1}^n$ to ensure the asymptotic power decay properties of the following trilinear oscillatory integrals <br />
\[<br />
I_{\lambda}(f_1,f_2,f_3)=\int_{\mathbb{R}^m}e^{i\lambda P(x)}\prod_{j=1}^3 f_j(\pi_j(x))\eta(x)dx, <br />
\]<br />
which falls into the broad goal in the previous work of Christ, Li, Tao and Thiele.</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Previous_Analysis_seminars&diff=17481Previous Analysis seminars2019-06-03T20:41:59Z<p>Nagreen: </p>
<hr />
<div>[https://www.math.wisc.edu/wiki/index.php/Analysis_Seminar Current schedule]<br />
<br />
Past Analysis seminars:<br />
<br />
*[[Fall 2018 and Spring 2019 Analysis Seminars]]<br />
*[[Fall 2017 and Spring 2018 Analysis Seminars]]<br />
*[[Spring 2017 Analysis Seminars]]<br />
*[http://www.math.wisc.edu/~seeger/fall16.html Fall 2016]<br />
*[http://www.math.wisc.edu/~seeger/spring16.html Spring 2016]<br />
*[http://www.math.wisc.edu/~seeger/fall15.html Fall 2015]<br />
*[http://www.math.wisc.edu/~seeger/spring15.html Spring 2015]<br />
*[http://www.math.wisc.edu/~seeger/fall14.html Fall 2014]<br />
*[http://www.math.wisc.edu/~seeger/spring14.html Spring 2014]<br />
*[http://www.math.wisc.edu/~seeger/fall13.html Fall 2013]<br />
*[http://www.math.wisc.edu/~seeger/spring13.html Spring 2013]<br />
*[http://www.math.wisc.edu/~seeger/fall12.html Fall 2012]<br />
*[http://www.math.wisc.edu/~seeger/spring12.html Spring 2012]<br />
*[http://www.math.wisc.edu/~seeger/fall11.html Fall 2011]<br />
*[http://www.math.wisc.edu/~seeger/spring11.html Spring 2011]<br />
*[http://www.math.wisc.edu/~seeger/fall10.html Fall 2010]<br />
*[http://www.math.wisc.edu/~seeger/spring10.html Spring 2010]<br />
*[http://www.math.wisc.edu/~seeger/fall09.html Fall 2009]<br />
*[http://www.math.wisc.edu/~seeger/spring09.html Spring 2009]<br />
*[http://www.math.wisc.edu/~seeger/fall08.html Fall 2008]<br />
*[http://www.math.wisc.edu/~seeger/spring08.html Spring 2008]<br />
*[http://www.math.wisc.edu/~seeger/fall07.html Fall 2007]<br />
*[http://www.math.wisc.edu/~seeger/spring07.html Spring 2007]<br />
*[http://www.math.wisc.edu/~seeger/fall06.html Fall 2006]<br />
*[http://www.math.wisc.edu/~seeger/spring06.html Spring 2006]<br />
*[http://www.math.wisc.edu/~seeger/fall05.html Fall 2005]<br />
*[http://www.math.wisc.edu/~seeger/spring05.html Spring 2005]<br />
*[http://www.math.wisc.edu/~seeger/fall04.html Fall 2004]<br />
*[http://www.math.wisc.edu/~seeger/summer04.html Summer 2004]<br />
*[http://www.math.wisc.edu/~seeger/spring04.html Spring 2004]<br />
*[http://www.math.wisc.edu/~seeger/fall03.html Fall 2003]<br />
*[http://www.math.wisc.edu/~seeger/spring03.html Spring 2003]<br />
*[http://www.math.wisc.edu/~seeger/fall02.html Fall 2002]<br />
*[http://www.math.wisc.edu/~seeger/spring02.html Spring 2002]<br />
*[http://www.math.wisc.edu/~seeger/fall01.html Fall 2001]<br />
*[http://www.math.wisc.edu/~seeger/spring01.html Spring 2001]<br />
*[http://www.math.wisc.edu/~seeger/fall00.html Fall 2000]<br />
*[http://www.math.wisc.edu/~seeger/spring00.html Spring 2000]<br />
*[http://www.math.wisc.edu/~seeger/fall99.html Fall 1999]<br />
*[http://www.math.wisc.edu/~seeger/spring99.html Spring 1999]<br />
*[http://www.math.wisc.edu/~seeger/fall98 Fall 1998]<br />
*[http://www.math.wisc.edu/~seeger/spring98.html Spring 1998]<br />
*[http://www.math.wisc.edu/~seeger/fall97.html Fall 1997]<br />
*[http://www.math.wisc.edu/~seeger/spring97.html Spring 1997]<br />
*[http://www.math.wisc.edu/~seeger/fall96.html Fall 1996]<br />
*[http://www.math.wisc.edu/~seeger/spring96.html Spring 1996]<br />
*[http://www.math.wisc.edu/~seeger/fall95.html Fall 1995]</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Fall_2017_and_Spring_2018_Analysis_Seminars&diff=17480Fall 2017 and Spring 2018 Analysis Seminars2019-06-03T20:41:09Z<p>Nagreen: Undo revision 17479 by Nagreen (talk)</p>
<hr />
<div>= 2017-2018 Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 8 in B239 (Colloquium)<br />
| Tess Anderson<br />
| UW Madison<br />
|[[#linktoabstract | A Spherical Maximal Function along the Primes]]<br />
|Tonghai<br />
|-<br />
|September 19<br />
| Brian Street<br />
| UW Madison<br />
|[[#Brian Street | Convenient Coordinates ]]<br />
| Betsy<br />
|-<br />
|September 26<br />
| Hiroyoshi Mitake<br />
| Hiroshima University<br />
|[[#Hiroyoshi Mitake | Derivation of multi-layered interface system and its application ]]<br />
| Hung<br />
|-<br />
|October 3<br />
| Joris Roos<br />
| UW Madison<br />
|[[#Joris Roos | A polynomial Roth theorem on the real line ]]<br />
| Betsy<br />
|-<br />
|October 10<br />
| Michael Greenblatt<br />
| UI Chicago<br />
|[[#Michael Greenblatt | Maximal averages and Radon transforms for two-dimensional hypersurfaces ]]<br />
| Andreas<br />
|-<br />
|October 17<br />
| David Beltran<br />
| Basque Center of Applied Mathematics<br />
|[[#David Beltran | Fefferman-Stein inequalities ]]<br />
| Andreas<br />
|-<br />
|Wednesday, October 18, 4:00 p.m. in B131<br />
|Jonathan Hickman<br />
|University of Chicago<br />
|[[#Jonathan Hickman | Factorising X^n ]]<br />
|Andreas<br />
|-<br />
|October 24<br />
| Xiaochun Li<br />
| UIUC<br />
|[[#Xiaochun Li | Recent progress on the pointwise convergence problems of Schroedinger equations ]]<br />
| Betsy<br />
|-<br />
|Thursday, October 26, 4:30 p.m. in B139<br />
| Fedor Nazarov<br />
| Kent State University<br />
|[[#Fedor Nazarov | The Lerner-Ombrosi-Perez bound in the Muckenhoupt Wheeden conjecture is sharp ]]<br />
| Sergey, Andreas<br />
|-<br />
|Friday, October 27, 4:00 p.m. in B239<br />
| Stefanie Petermichl<br />
| University of Toulouse<br />
|[[#Stefanie Petermichl | Higher order Journé commutators ]]<br />
| Betsy, Andreas<br />
|-<br />
|Wednesday, November 1, 4:00 p.m. in B239 (Colloquium)<br />
| Shaoming Guo<br />
| Indiana University<br />
|[[#Shaoming Guo | Parsell-Vinogradov systems in higher dimensions ]]<br />
| Andreas<br />
|-<br />
|November 14<br />
| Naser Talebizadeh Sardari<br />
| UW Madison<br />
|[[#Naser Talebizadeh Sardari | Quadratic forms and the semiclassical eigenfunction hypothesis ]]<br />
| Betsy<br />
|-<br />
|November 28<br />
| Xianghong Chen<br />
| UW Milwaukee<br />
|[[#Xianghong Chen | Some transfer operators on the circle with trigonometric weights ]]<br />
| Betsy<br />
|-<br />
|Monday, December 4, 4:00, B139<br />
| Bartosz Langowski and Tomasz Szarek<br />
| Institute of Mathematics, Polish Academy of Sciences<br />
|[[#Bartosz Langowski and Tomasz Szarek | Discrete Harmonic Analysis in the Non-Commutative Setting ]]<br />
| Betsy<br />
|-<br />
|Wednesday, December 13, 4:00, B239 (Colloquium)<br />
|Bobby Wilson <br />
|MIT<br />
|[[#Bobby Wilson | Projections in Banach Spaces and Harmonic Analysis ]]<br />
| Andreas<br />
|-<br />
| Monday, February 5, 3:00-3:50, B341 (PDE-GA seminar)<br />
| Andreas Seeger<br />
| UW<br />
|[[#Andreas Seeger | Singular integrals and a problem on mixing flows]] <br />
|<br />
|-<br />
|February 6<br />
| Dong Dong<br />
| UIUC<br />
| [[#Dong Dong | Hibert transforms in a 3 by 3 matrix and applications in number theory]]<br />
|Betsy<br />
|-<br />
|February 13<br />
| Sergey Denisov<br />
| UW Madison<br />
| [[#Sergey Denisov | Spectral Szegő theorem on the real line]]<br />
| <br />
|-<br />
|February 20<br />
| Ruixiang Zhang <br />
| IAS (Princeton)<br />
| [[#Ruixiang Zhang | The (Euclidean) Fractal Uncertainty Principle]]<br />
| Betsy, Jordan, Andreas<br />
|-<br />
|February 27<br />
|Detlef Müller <br />
|University of Kiel<br />
| [[#Detlef Müller | On Fourier restriction for a non-quadratic hyperbolic surface]]<br />
|Betsy, Andreas<br />
|-<br />
|Wednesday, March 7, 4:00 p.m.<br />
| Winfried Sickel <br />
|Friedrich-Schiller-Universität Jena<br />
| [[#Winfried Sickel | On the regularity of compositions of functions]]<br />
|Andreas<br />
|-<br />
|March 20<br />
| Betsy Stovall<br />
| UW<br />
| [[#linkofabstract | Two endpoint bounds via inverse problems]]<br />
|<br />
|-<br />
|April 10<br />
| Martina Neuman<br />
| UC Berkeley<br />
| [[#Martina Neuman | Gowers-Host-Kra norms and Gowers structure on Euclidean spaces]]<br />
| Betsy<br />
|-<br />
|Friday, April 13, 4:00 p.m. (Colloquium, 911 VV)<br />
|Jill Pipher<br />
|Brown<br />
| [[#Jill Pipher | Mathematical ideas in cryptography]]<br />
|WIMAW<br />
|-<br />
|April 17<br />
| <br />
| <br />
| [[#linkofabstract | Title]]<br />
|<br />
|-<br />
|April 24<br />
| Lenka Slavíková<br />
| University of Missouri<br />
| [[#Lenka Slavíková | <math>L^2 \times L^2 \to L^1</math> boundedness criteria]]<br />
|Betsy, Andreas<br />
|-<br />
|May 1 '''at 3:30pm'''<br />
| Xianghong Gong<br />
| UW<br />
| [[#Xianghong Gong | Smooth equivalence of deformations of domains in complex euclidean spaces]]<br />
|<br />
|-<br />
| '''May 2 in B239 at 4pm'''<br />
| Keith Rush<br />
| senior data scientist with the Milwaukee Brewers<br />
| [[#Keith Rush | Guerilla warfare: ruling the data jungle]]<br />
|-<br />
| '''May 7''' in '''B223'''<br />
| Ebru Toprak<br />
| UIUC<br />
| [[#Ebru Toprak |Dispersive estimates for massive Dirac equations]]<br />
|Betsy<br />
|-<br />
| '''May 15'''<br />
| Gennady Uraltsev<br />
| Cornell<br />
| [[#linkofabstract | TBA]]<br />
| Andreas, Betsy<br />
|-<br />
| May 16-18, [http://www.math.wisc.edu/~stovall/FA2018/ Workshop in Fourier Analysis]<br />
|<br />
|<br />
|<br />
|Betsy, Andreas<br />
|-<br />
|}<br />
<br />
=Abstracts=<br />
===Brian Street===<br />
<br />
Title: Convenient Coordinates<br />
<br />
Abstract: We discuss the method of picking a convenient coordinate system adapted to vector fields. Let X_1,...,X_q be either real or complex C^1 vector fields. We discuss the question of when there is a coordinate system in which the vector fields are smoother (e.g., C^m, or C^\infty, or real analytic). By answering this in a quantitative way, we obtain coordinate charts which can be used as generalized scaling maps. When the vector fields are real this is joint work with Stovall, and continues in the line of quantitative sub-Riemannian geometry initiated by Nagel, Stein, and Wainger. When the vector fields are complex one obtains a geometry with more structure which can be thought of as "sub-Hermitian".<br />
<br />
===Hiroyoshi Mitake===<br />
<br />
Title: Derivation of multi-layered interface system and its application<br />
<br />
Abstract: In this talk, I will propose a multi-layered interface system which can <br />
be formally derived by the singular limit of the weakly coupled system of <br />
the Allen-Cahn equation. By using the level set approach, this system can be <br />
written as a quasi-monotone degenerate parabolic system. <br />
We give results of the well-posedness of viscosity solutions, and study the <br />
singularity of each layers. This is a joint work with H. Ninomiya, K. Todoroki.<br />
<br />
===Joris Roos===<br />
<br />
Title: A polynomial Roth theorem on the real line<br />
<br />
Abstract: For a polynomial P of degree greater than one, we show the existence of patterns of the form (x,x+t,x+P(t)) with a gap estimate on t in positive density subsets of the reals. This is an extension of an earlier result of Bourgain. Our proof is a combination of Bourgain’s approach and more recent methods that were originally developed for the study of the bilinear Hilbert transform along curves. This talk is based on a joint work with Polona Durcik and Shaoming Guo.<br />
<br />
===Michael Greenblatt===<br />
<br />
Title: Maximal averages and Radon transforms for two-dimensional hypersurfaces<br />
<br />
Abstract: A general local result concerning L^p boundedness of maximal averages over 2D hypersurfaces is described, where p > 2. The surfaces are allowed to have either the traditional smooth density function or a singularity growing as |(x,y)|^{-t} for some 0 < t < 2. This result is a generalization of a theorem of Ikromov, Kempe, and Mueller. Similar methods can be used to show sharp L^p to L^p_a Sobolev estimates for associated Radon transform operators when p is in a certain interval containing 2.<br />
<br />
===David Beltran===<br />
<br />
Title: Fefferman Stein Inequalities<br />
<br />
Abstract: Given an operator T, we focus on obtaining two-weighted inequalities in which the weights are related via certain maximal function. These inequalites, which originated in work of Fefferman and Stein, have been established in an optimal way for different classical operators in Harmonic Analysis. In this talk, we survey some classical results and we present some recent Fefferman-Stein inequalities for pseudodifferential operators and for the solution operators to dispersive equations.<br />
<br />
===Jonathan Hickman===<br />
<br />
Title: Factorising X^n.<br />
<br />
Question: how many ways can the polynomial $X^n$ be factorised as a product of linear factors? Answer: it depends on the ring... In this talk I will describe joint work with Jim Wright investigating certain exponential sum estimates over rings of integers modulo N. This theory serves as a discrete analogue of the (euclidean) Fourier restriction problem, a central question in contemporary harmonic analysis. In particular, as part of this study, the question of counting the number of factorisations of polynomials over such rings naturally arises. I will describe how these number-theoretic considerations can themselves be approached via methods from harmonic analysis.<br />
<br />
===Xiaochun Li ===<br />
<br />
Title: Recent progress on the pointwise convergence problems of Schrodinger equations<br />
<br />
Abstract: Recently, Guth, Du and I solved the pointwise convergence problem of Schrodinger equations in two-dimensional case. We proved that the solution to free Schrodinger equation in R^2 converges to its initial data, provided the initial data belongs to H^s for s larger than 1/3. This result is sharp, up to the end point, due to Bourgain's example. The proof relies on the polynomial partitioning method and the decoupling method. In addition, the pointwise convergence problem is closely related to Fourier restriction conjecture.<br />
<br />
===Fedor Nazarov=== <br />
<br />
Title: The Lerner-Ombrosi-Perez bound in the Muckenhoupt-Wheeden<br />
conjecture is sharp.<br />
<br />
Abstract: We show that the upper bound $[w]_{A_1}\log (e+[w]_{A_1})$ for<br />
the norm of the Hilbert transform on the line as an operator from $L^1(w)$<br />
to $L^{1,\infty}(w)$ cannot be improved in general. This is a joint work<br />
with Andrei Lerner and Sheldy Ombrosi.<br />
<br />
===Stefanie Petermichl===<br />
Title: Higher order Journé commutators<br />
<br />
Abstract: We consider questions that stem from operator theory via Hankel and<br />
Toeplitz forms and target (weak) factorisation of Hardy spaces. In<br />
more basic terms, let us consider a function on the unit circle in its<br />
Fourier representation. Let P_+ denote the projection onto<br />
non-negative and P_- onto negative frequencies. Let b denote<br />
multiplication by the symbol function b. It is a classical theorem by<br />
Nehari that the composed operator P_+ b P_- is bounded on L^2 if and<br />
only if b is in an appropriate space of functions of bounded mean<br />
oscillation. The necessity makes use of a classical factorisation<br />
theorem of complex function theory on the disk. This type of question<br />
can be reformulated in terms of commutators [b,H]=bH-Hb with the<br />
Hilbert transform H=P_+ - P_- . Whenever factorisation is absent, such<br />
as in the real variable setting, in the multi-parameter setting or<br />
other, these classifications can be very difficult.<br />
<br />
Such lines were begun by Coifman, Rochberg, Weiss (real variables) and<br />
by Cotlar, Ferguson, Sadosky (multi-parameter) of characterisation of<br />
spaces of bounded mean oscillation via L^p boundedness of commutators.<br />
We present here an endpoint to this theory, bringing all such<br />
characterisation results under one roof.<br />
<br />
The tools used go deep into modern advances in dyadic harmonic<br />
analysis, while preserving the Ansatz from classical operator theory.<br />
<br />
===Shaoming Guo ===<br />
Title: Parsell-Vinogradov systems in higher dimensions<br />
<br />
Abstract: <br />
I will present a few results on counting the numbers of integer solutions of Parsell-Vinogradov systems in higher dimensions.<br />
Applications to Waring’s problem and to the problem of counting rational linear subspaces lying on certain hyper-surface will be discussed.<br />
Joint works with Jean Bourgain, Ciprian Demeter and Ruixiang Zhang.<br />
<br />
===Naser Talebizadeh Sardari===<br />
<br />
Title: Quadratic forms and the semiclassical eigenfunction hypothesis<br />
<br />
Abstract: Let <math>Q(X)</math> be any integral primitive positive definite quadratic form in <math>k</math> variables, where <math>k\geq4</math>, and discriminant <math>D</math>. For any integer <math>n</math>, we give an upper bound on the number of integral solutions of <math>Q(X)=n</math> in terms of <math>n</math>, <math>k</math>, and <math>D</math>. As a corollary, we prove a conjecture of Lester and Rudnick on the small scale equidistribution of almost all functions belonging to any orthonormal basis of a given eigenspace of the Laplacian on the flat torus <math>\mathbb{T}^d</math> for <math>d\geq 5</math>. This conjecture is motivated by the work of Berry\cite{Berry, Michael} on semiclassical eigenfunction hypothesis.<br />
<br />
===Xianghong Chen===<br />
<br />
Title: Some transfer operators on the circle with trigonometric weights<br />
<br />
Abstract: A transfer operator is an averaging operator over the preimages of a given map. Certain dynamical properties of the map can be studied through its associated transfer operator. In this talk we will introduce a class of weighted transfer operators associated to the Bernoulli maps on the circle (i.e. multiplication by a given integer, mod 1). We will illustrate how the spectral properties of these operators may depend on the specific weight chosen and demonstrate multiple phase transitions. We also present some results on evaluating the spectral radii and corresponding eigenfunctions of these operators, as well as their connections to Fourier analysis. This is joint work with Hans Volkmer. <br />
<br />
===Bobby Wilson===<br />
<br />
Title: Projections in Banach Spaces and Harmonic Analysis<br />
<br />
Abstract: In this talk, we will discuss the measure theoretic principles of orthogonal projections that follow from the classical Besicovitch-Federer projection theorem. The Besicovitch-Federer projection theorem offers a characterization of rectifiability of one-dimensional sets in R^d by the size of their projections to lines. We will focus on the validity of analogues to the Besicovitch-Federer projection theorem with respect to such sets in general Banach spaces. In particular, we will show that the projection theorem is false when the Banach space is infinite-dimensional and discuss related applications to questions in Harmonic Analysis. This is joint work with Marianna Csornyei and David Bate.<br />
<br />
===Andreas Seeger===<br />
<br />
Title: Singular integrals and a problem on mixing flows<br />
<br />
Abstract: The talk will be about results related to Bressan's mixing problem. We present an inequality for the change of a Bianchini semi-norm of characteristic functions under the flow generated by a divergence free time dependent vector field. The approach leads to a bilinear singular integral operator for which one proves bounds on Hardy spaces. This is joint work with Mahir Hadžić, Charles Smart and Brian Street.<br />
<br />
===Dong Dong===<br />
<br />
Title: Hibert transforms in a 3 by 3 matrix and applications in number theory<br />
<br />
Abstract: This talk could interest both analysts and number theorists. I will first present 35 variants of Hilbert transforms, with a focus on their connections with ergodic theory, number theory, and combinatorics. Then I will show how to use Fourier analysis tools to reduce a number theory problem (Roth theorem) to an algebraic geometry problem: this joint work Li and Sawin fully answers a question of Bourgain and Chang about three-term polynomial progressions in subsets of finite fields. I guarantee that a second-year graduate student can understand at least 50% of the talk.<br />
<br />
===Sergey Denisov===<br />
<br />
Title: Spectral Szegő theorem on the real line<br />
<br />
Abstract: For even measures on the real line, we give the criterion for the logarithmic integral to converge in terms of the corresponding De-Branges system (or Krein's string). The applications to probability (linear prediction for stationary Gaussian processes) will be explained. This is the joint result with R. Bessonov.<br />
<br />
===Ruixiang Zhang===<br />
<br />
Title: The (Euclidean) Fractal Uncertainty Principle<br />
<br />
Abstract: On the real line, a version of the uncertainty principle says: If a nonzero function f has its Fourier support lying in B and |A||B| is much smaller than 1, then the L^2 norm of f on A cannot be close to the whole L^2 norm of f. Recently, Bourgain and Dyatlov proved a Fractal Uncertainty Principle (FUP) which has a similar statement. The difference is that in FUP the product of |A| and |B| can be much bigger, but A and B both have to be porous at many scales. We will introduce the theorem and then discuss some unusual features of its proof, most notably the application of the Beurling-Malliavin Theorem. In the original work the dependence on the dimensions of both fractals was ineffective. We will also discuss why we can overcome this ineffectivity (joint work with Long Jin).<br />
<br />
===Detlef Müller===<br />
<br />
Title: On Fourier restriction for a non-quadratic hyperbolic surface<br />
<br />
Abstract: In contrast to what is known about Fourier restriction for elliptic surfaces, rather little is known about hyperbolic surfaces. Hitherto, basically only the quadric $z=xy$ had been studied successfully. In my talk, after giving some background on Fourier restriction, I shall report on recent joint work with S. Buschenhenke and A. Vargas on a cubic perturbation of this quadric. Our analysis reveals that the geometry of the problem changes drastically in the presence of a perturbation term, and that new techniques, compared to the elliptic case, are required to handle more general hyperbolic surfaces.<br />
<br />
===Winfried Sickel===<br />
<br />
Title: On the regularity of compositions of functions<br />
<br />
Abstract: Let <math>E</math> denote a Banach space of locally integrable functions on <math>\mathbb{R}</math>. To each continuous function <math>f:\mathbb{R} \to \mathbb{R}</math><br />
we associate the composition operator<br />
<math>T_f(g):= f\circ g</math>, <math>g\in E</math>. <br />
The properties of <math>T_f</math> strongly depend on the chosen function space <math>E</math>.<br />
In my talk I will concentrate on Sobolev spaces <math>W^m_p</math> and Slobodeckij spaces <math>W^s_p</math>.<br />
The main aim will consist in giving a survey on necessary and sufficient conditions on <math>f</math><br />
such that the composition operator maps such a space <math>E</math> into itself.<br />
<br />
===Martina Neuman===<br />
<br />
Title: Gowers-Host-Kra norms and Gowers structure on Euclidean spaces<br />
<br />
Abstract: The investigation on Brascamp-Lieb data - their structure, their extremizability, their stability and regularity of their constants - has been an active one in Harmonic Analysis. In this talk, I'll present an example of a Brascamp-Lieb structure: a so-called Gowers structure on Euclidean spaces, together with the related Gowers-Host-Kra norms - these were originally tools in additive combinatorics context. I'll dissertate on what happens when a function nearly achieves its Gowers-Host-Kra norm in a Euclidean context - this can be seen as continuation of the work of Eisner-Tao - and a related stability result of the Gowers structure on Euclidean spaces.<br />
<br />
===Jill Pipher===<br />
<br />
Title: Mathematical ideas in cryptography<br />
<br />
Abstract: This talk does not assume prior knowledge of public key crypto (PKC). I'll talk about the history of the subject and some current areas of research,<br />
including homomorphic encryption.<br />
<br />
===Lenka Slavíková===<br />
<br />
Title: <math>L^2 \times L^2 \to L^1</math> boundedness criteria<br />
<br />
Abstract: It is a consequence of Plancherel's identity that a linear multiplier operator associated with a function <math>m</math> is bounded from <math>L^2</math> to itself if and only if <math>m</math> belongs to the space <math>L^\infty</math>. In this talk we will investigate the <math>L^2 \times L^2 \to L^1</math> boundedness of bilinear multiplier operators which is as central in the bilinear theory as the <math>L^2</math> boundedness is in the linear multiplier theory. We will present a sharp <math>L^2 \times L^2 \to L^1</math> boundedness criterion for a class of bilinear operators associated with a multiplier given by a signed sum of dyadic dilations of a given function, in terms of the <math>L^q</math> integrability of this function; precisely we will show that boundedness holds if and only if <math>q<4</math>. We will then discuss applications of this result concerning bilinear rough singular integrals and bilinear dyadic spherical maximal functions. This is a joint work with L. Grafakos and D. He.<br />
<br />
===Xianghong Gong===<br />
<br />
Title: Smooth equivalence of deformations of domains in complex euclidean spaces<br />
<br />
Abstract: We prove that two smooth families of 2-connected domains in the complex plane are smoothly equivalent if they are equivalent under a possibly discontinuous family of biholomorphisms. We construct two smooth families of smoothly bounded domains in C^n for n>=1 that are equivalent under discontinuous families of biholomorphisms but not under any continuous family of biholomorphisms. Finally, we give sufficient conditions for the smooth equivalence of two smooth families of domains. This is joint work with Hervé Gaussier.<br />
<br />
===Keith Rush===<br />
<br />
Title: Guerilla warfare: ruling the data jungle<br />
<br />
Abstract: Einstein said ‘As far as the laws of mathematics refer to reality, they are not certain, and as far as they are certain, they do not refer to reality.’ In this epistemological chaos, the world turns to those experienced with mathematical truth to apply their reasoning powers in the uncertain domain of existence. This talk will describe the fact and fiction of this business reality, the pitfalls (intellectual, moral, and social) and the opportunities. I will discuss the state of business analytics today, at least in sports, the relationship of a pure mathematician to it, and what it is like to help lead the charge as applied mathematics eats the world.<br />
<br />
===Ebru Toprak===<br />
<br />
Title: Dispersive estimates for massive Dirac equations<br />
<br />
Abstract: In this talk, I will cover some existing L^1 \rightarrow L^\infty dispersive estimates for the linear Schr\"odinger equation with potential and present a related study on the two and three dimensional massive Dirac equation. In two dimension, we show that the t^{-1} decay rate holds if the threshold energies are regular or if there are s-wave resonances at the threshold. We further show that, if the threshold energies are regular then a faster decay rate of t^{-1}(\log t)^{-2} is attained for large t, at the cost of logarithmic spatial weights, which is not the case for the free Dirac equation. In three dimension, we show that the solution operator is composed of a finite rank operator that decays at the rate t^{-1/2} plus a term that decays at the rate t^{-3/2}. This is a joint work with M.Burak Erdo\u{g}an and William Green.</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Fall_2017_and_Spring_2018_Analysis_Seminars&diff=17479Fall 2017 and Spring 2018 Analysis Seminars2019-06-03T20:40:27Z<p>Nagreen: </p>
<hr />
<div>'''Analysis Seminar<br />
'''<br />
<br />
The seminar will meet Tuesdays, 4:00 p.m. in VV B139, unless otherwise indicated.<br />
<br />
If you wish to invite a speaker please contact Brian at street(at)math<br />
<br />
===[[Previous Analysis seminars]]===<br />
<br />
= Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Sept 11<br />
| Simon Marshall<br />
| UW Madison<br />
|[[#Simon Marshall | Integrals of eigenfunctions on hyperbolic manifolds ]]<br />
| <br />
|-<br />
|'''Wednesday, Sept 12'''<br />
| Gunther Uhlmann <br />
| University of Washington<br />
| Distinguished Lecture Series<br />
| See colloquium website for location<br />
|-<br />
|'''Friday, Sept 14'''<br />
| Gunther Uhlmann <br />
| University of Washington<br />
| Distinguished Lecture Series<br />
| See colloquium website for location<br />
|-<br />
|Sept 18<br />
| Grad Student Seminar<br />
| <br />
|<br />
|<br />
|-<br />
|Sept 25<br />
| Grad Student Seminar<br />
|<br />
|<br />
|<br />
|-<br />
|Oct 9<br />
| Hong Wang<br />
| MIT<br />
|[[#Hong Wang | About Falconer distance problem in the plane ]]<br />
| Ruixiang <br />
|-<br />
|Oct 16<br />
| Polona Durcik<br />
| Caltech<br />
|[[#Polona Durcik | Singular Brascamp-Lieb inequalities and extended boxes in R^n ]]<br />
| Joris <br />
|-<br />
|Oct 23<br />
| Song-Ying Li<br />
| UC Irvine<br />
|[[#Song-Ying Li | Estimates for the first positive eigenvalue of Kohn Laplacian on a pseudo-Hermitian manifold ]]<br />
| Xianghong <br />
|-<br />
|Oct 30<br />
|Grad student seminar<br />
|<br />
|<br />
|<br />
|-<br />
|Nov 6<br />
| Hanlong Fang<br />
| UW Madison<br />
|[[#Hanlong Fang | A generalization of the theorem of Weil and Kodaira on prescribing residues ]]<br />
| Brian<br />
|-<br />
||'''Monday, Nov. 12, B139'''<br />
| Kyle Hambrook<br />
| San Jose State University<br />
|[[#Kyle Hambrook | Fourier Decay and Fourier Restriction for Fractal Measures on Curves ]]<br />
| Andreas<br />
|-<br />
|Nov 13<br />
| Laurent Stolovitch<br />
| Université de Nice - Sophia Antipolis<br />
|[[#Laurent Stolovitch | Equivalence of Cauchy-Riemann manifolds and multisummability theory ]]<br />
|Xianghong<br />
|-<br />
|Nov 20<br />
| Grad Student Seminar<br />
| <br />
|[[#linktoabstract | ]]<br />
| <br />
|-<br />
|Nov 27<br />
| No Seminar<br />
| <br />
|[[#linktoabstract | ]]<br />
| <br />
|-<br />
|Dec 4<br />
| No Seminar<br />
|[[#linktoabstract | ]]<br />
| <br />
|-<br />
|Jan 22<br />
| Brian Cook<br />
| Kent<br />
|[[#Brian Cook | Equidistribution results for integral points on affine homogenous algebraic varieties ]]<br />
| Street<br />
|-<br />
|Jan 29<br />
| No Seminar<br />
| <br />
|[[#linktoabstract | ]]<br />
|<br />
|-<br />
|Feb 5, '''B239'''<br />
| Alexei Poltoratski<br />
| Texas A&M<br />
|[[#Alexei Poltoratski | Completeness of exponentials: Beurling-Malliavin and type problems ]]<br />
| Denisov<br />
|-<br />
|'''Friday, Feb 8'''<br />
| Aaron Naber<br />
| Northwestern University<br />
|[[#linktoabstract | A structure theory for spaces with lower Ricci curvature bounds ]]<br />
| See colloquium website for location<br />
|-<br />
|Feb 12<br />
| Shaoming Guo<br />
| UW Madison<br />
|[[#Shaoming Guo | Polynomial Roth theorems in Salem sets ]]<br />
| <br />
|-<br />
|'''Wed, Feb 13, B239'''<br />
| Dean Baskin<br />
| TAMU<br />
|[[# Dean Baskin | Radiation fields for wave equations ]]<br />
| Colloquium<br />
|-<br />
|'''Friday, Feb 15'''<br />
| Lillian Pierce<br />
| Duke<br />
|[[#Lillian Pierce | Short character sums ]]<br />
| Colloquium<br />
|-<br />
|'''Monday, Feb 18, 3:30 p.m, B239.'''<br />
| Daniel Tataru<br />
| UC Berkeley<br />
|[[#Daniel Tataru | A Morawetz inequality for water waves ]]<br />
| PDE Seminar<br />
|-<br />
|Feb 19<br />
| Wenjia Jing <br />
|Tsinghua University<br />
|Periodic homogenization of Dirichlet problems in perforated domains: a unified proof<br />
| PDE Seminar<br />
|-<br />
|Feb 26<br />
| No Seminar<br />
|<br />
|<br />
|-<br />
|Mar 5<br />
| Loredana Lanzani<br />
| Syracuse University<br />
|[[#Loredana Lanzani | On regularity and irregularity of the Cauchy-Szegő projection in several complex variables ]]<br />
| Xianghong<br />
|-<br />
|Mar 12<br />
| Trevor Leslie<br />
| UW Madison<br />
|[[#Trevor Leslie | Energy Equality for the Navier-Stokes Equations at the First Possible Blowup Time ]]<br />
|<br />
|-<br />
|Mar 19<br />
|Spring Break!<br />
| <br />
|<br />
|<br />
|-<br />
|Mar 26<br />
| No seminar<br />
| <br />
|[[#linktoabstract | ]]<br />
| <br />
|-<br />
|Apr 2<br />
| Stefan Steinerberger<br />
| Yale<br />
|[[#Stefan Steinerberger | Wasserstein Distance as a Tool in Analysis ]]<br />
| Shaoming, Andreas<br />
|-<br />
<br />
|Apr 9<br />
| Franc Forstnerič <br />
| Unversity of Ljubljana<br />
|[[#Franc Forstnerič | Minimal surfaces by way of complex analysis ]]<br />
| Xianghong, Andreas<br />
|-<br />
|Apr 16<br />
| Andrew Zimmer<br />
| Louisiana State University<br />
|[[#Andrew Zimmer | The geometry of domains with negatively pinched Kaehler metrics ]]<br />
| Xianghong<br />
|-<br />
|Apr 23<br />
| Brian Street<br />
| University of Wisconsin-Madison<br />
|[[#Brian Street | Maximal Hypoellipticity ]]<br />
| Street<br />
|-<br />
|Apr 30<br />
| Zhen Zeng<br />
| UPenn<br />
|[[#Zhen Zeng | Decay property of multilinear oscillatory integrals ]]<br />
| Shaoming<br />
|-<br />
|*[https://www.math.wisc.edu/seeger2019/?q=node/2 Madison Lectures in Fourier Analysis]<br />
|-<br />
|Summer<br />
|-<br />
|Sept 10<br />
|Jose Madrid<br />
|UCLA<br />
|<br />
|Andreas, David<br />
|-<br />
|Oct 15<br />
|Bassam Shayya<br />
|American University of Beirut<br />
|<br />
|Andreas, Betsy<br />
<br />
|}<br />
<br />
=Abstracts=<br />
===Simon Marshall===<br />
<br />
''Integrals of eigenfunctions on hyperbolic manifolds''<br />
<br />
Let X be a compact hyperbolic manifold, and let Y be a totally geodesic closed submanifold in X. I will discuss the problem of bounding the integral of a Laplace eigenfunction on X over Y, as the eigenvalue tends to infinity. I will present an upper bound for these integrals that is sharp on average, and briefly describe ongoing work with Farrell Brumley in which we attempt to produce eigenfunctions with very large periods.<br />
<br />
<br />
===Hong Wang===<br />
<br />
''About Falconer distance problem in the plane''<br />
<br />
If E is a compact set of Hausdorff dimension greater than 5/4 on the plane, we prove that there is a point x\in E such that the set of distances between x and E has positive Lebesgue measure. Our result improves upon Wolff's theorem for dim E> 4/3. This is joint work with Larry Guth, Alex Iosevich and Yumeng Ou. <br />
<br />
===Polona Durcik===<br />
<br />
''Singular Brascamp-Lieb inequalities and extended boxes in R^n''<br />
<br />
Brascamp-Lieb inequalities are L^p estimates for certain multilinear forms on functions on Euclidean spaces. In this talk we consider singular Brascamp-Lieb inequalities, which arise when one of the functions is replaced by a Calderon-Zygmund kernel. We focus on a family of multilinear forms in R^n with a certain cubical structure and discuss their connection to some patterns in positive density subsets in R^n. Based on joint works with V. Kovac and C. Thiele.<br />
<br />
<br />
===Song-Ying Li===<br />
<br />
''Estimates for the first positive eigenvalue of Kohn Laplacian on a pseudo-Hermitian manifold''<br />
<br />
In this talk, I will present my recent works with my collaborators on the lower bound and upper bounds estimates<br />
for the first positive eigenvalues of Kohn Laplacian and sub-Laplacian on a strictly pseudoconvex pseudo-Hermitian CR manifold,<br />
which include CR Lichnerowicz-Obata theorem for the lower and upper bounds for the first positive eigenvalue for the<br />
Kohn Laplacian on strictly pseudoconvex hypersurfaces.<br />
<br />
<br />
===Hanlong Fan===<br />
<br />
''A generalization of the theorem of Weil and Kodaira on prescribing residues''<br />
<br />
An old theorem of Weil and Kodaira says that: For a K\"ahler manifold X, there exists a closed meromorphic one-form with residue divisor D if and only if D is homologous to zero. In this talk, I will generalize Weil and Kodaira's criterion to non-K\"ahler manifolds.<br />
<br />
===Kyle Hambrook===<br />
<br />
''Fourier Decay and Fourier Restriction for Fractal Measures on Curves''<br />
<br />
I will discuss my recent work on some problems concerning<br />
Fourier decay and Fourier restriction for fractal measures on curves.<br />
<br />
===Laurent Stolovitch===<br />
<br />
''Equivalence of Cauchy-Riemann manifolds and multisummability theory''<br />
<br />
We apply the multisummability theory from Dynamical Systems to CR-geometry. As the main result, we show that two real-analytic hypersurfaces in $\mathbb C^2$ are formally equivalent, if and only if they are $C^\infty$ CR-equivalent at the respective point. As a corollary, we prove that all formal equivalences between real-algebraic Levi-nonflat hypersurfaces in $\mathbb C^2$ are algebraic (and in particular convergent). This is a joint work with I. Kossovskiy and B. Lamel.<br />
<br />
<br />
===Brian Cook===<br />
<br />
''Equidistribution results for integral points on affine homogenous algebraic varieties''<br />
<br />
Let Q be a homogenous integral polynomial of degree at least two. We consider certain results and questions concerning the distribution of the integral points on the level sets of Q.<br />
<br />
===Alexei Poltoratski===<br />
<br />
''Completeness of exponentials: Beurling-Malliavin and type problems''<br />
<br />
This talk is devoted to two old problems of harmonic analysis mentioned in the title. Both problems ask when a family of complex exponentials is complete (spans) an L^2-space. The Beruling-Malliavin problem was solved in the early 1960s and I will present its classical solution along with modern generalizations and applications. I will then discuss history and recent progress in the type problem, which stood open for more than 70 years.<br />
<br />
<br />
===Shaoming Guo===<br />
<br />
''Polynomial Roth theorems in Salem sets''<br />
<br />
Let P(t) be a polynomial of one real variable. I will report a result on searching for patterns of the form (x, x+t, x+P(t)) within Salem sets, whose Hausdorff dimension is sufficiently close to one. Joint work with Fraser and Pramanik. <br />
<br />
<br />
<br />
<br />
===Dean Baskin===<br />
<br />
''Radiation fields for wave equations''<br />
<br />
Radiation fields are rescaled limits of solutions of wave equations near "null infinity" and capture the radiation pattern seen by a distant observer. They are intimately connected with the Fourier and Radon transforms and with scattering theory. In this talk, I will define and discuss radiation fields in a few contexts, with an emphasis on spacetimes that look flat near infinity. The main result is a connection between the asymptotic behavior of the radiation field and a family of quantum objects on an associated asymptotically hyperbolic space.<br />
<br />
===Lillian Pierce===<br />
<br />
''Short character sums''<br />
<br />
A surprisingly diverse array of problems in analytic number theory have at their heart a problem of bounding (from above) an exponential sum, or its multiplicative cousin, a so-called character sum. For example, both understanding the Riemann zeta function or Dirichlet L-functions inside the critical strip, and also counting solutions to Diophantine equations via the circle method or power sieve methods, involve bounding such sums. In general, the sums of interest fall into one of two main regimes: complete sums or incomplete sums, with this latter regime including in particular “short sums.” Short sums are particularly useful, and particularly resistant to almost all known methods. In this talk, we will see what makes a sum “short,” sketch why it would be incredibly powerful to understand short sums, and discuss a curious proof from the 1950’s which is still the best way we know to bound short sums. We will end by describing new work which extends the ideas of this curious proof to bound short sums in much more general situations.<br />
<br />
===Loredana Lanzani===<br />
<br />
''On regularity and irregularity of the Cauchy-Szegő projection in several complex variables''<br />
<br />
This talk is a survey of my latest, and now final, collaboration with Eli Stein.<br />
<br />
It is known that for bounded domains $D$ in $\mathbb C^n$ that are of class $C^2$ and are strongly pseudo-convex, the Cauchy-Szegő projection is bounded in $L^p(\text{b}D, d\Sigma)$ for $1<p<\infty$. (Here $d\Sigma$ is induced Lebesgue measure.) We show, using appropriate worm domains, that this fails for any $p\neq 2$, when we assume that the domain in question is only weakly pseudo-convex. Our starting point are the ideas of Kiselman-Barrett introduced more than 30 years ago in the analysis of the Bergman projection. However the study of the Cauchy-Szegő projection raises a number of new issues and obstacles that need to be overcome. We will also compare these results to the analogous problem for the Cauchy-Leray integral, where however the relevant counter-example is of much simpler nature.<br />
<br />
===Trevor Leslie===<br />
<br />
''Energy Equality for the Navier-Stokes Equations at the First Possible Blowup Time''<br />
<br />
In this talk, we discuss the problem of energy equality for strong solutions of the Navier-Stokes Equations (NSE) at the first time where such solutions may lose regularity. Our approach is motivated by a famous theorem of Caffarelli, Kohn, and Nirenberg, which states that the set of singular points associated to a suitable weak solution of the NSE has parabolic Hausdorff dimension of at most 1. In particular, we furnish sufficient conditions for energy equality which depend on the dimension of the singularity set in addition to time and space integrability assumptions; in doing so we improve upon the classical results when attention is restricted to the first blowup time. When our method is inconclusive, we are able to quantify the possible failure of energy equality in terms of the lower local dimension and the ''concentration dimension'' of a certain measure associated to the solution. The work described is joint with Roman Shvydkoy (UIC).<br />
<br />
===Stefan Steinerberger===<br />
<br />
''Wasserstein Distance as a Tool in Analysis''<br />
<br />
Wasserstein Distance is a way of measuring the distance between two probability distributions (minimizing it is a main problem in Optimal Transport). We will give a gentle Introduction into what it means and then use it to prove (1) a completely elementary but possibly new and quite curious inequality for real-valued functions and (2) a statement along the following lines: linear combinations of eigenfunctions of elliptic operators corresponding to high frequencies oscillate a lot and vanish on a large set of co-dimension 1 (this is already interesting for trigonometric polynomials on the 2-torus, sums of finitely many sines and cosines, whose sum has to vanish on long lines) and (3) some statements in Basic Analytic Number Theory that drop out for free as a byproduct.<br />
<br />
===Franc Forstnerič===<br />
<br />
''Minimal surfaces by way of complex analysis''<br />
<br />
After a brief historical introduction, I will present some recent developments in the theory of minimal surfaces in Euclidean spaces which have been obtained by complex analytic methods. The emphasis will be on results pertaining to the global theory of minimal surfaces including Runge and Mergelyan approximation, the conformal Calabi-Yau problem, properly immersed and embedded minimal surfaces, and a new result on the Gauss map of minimal surfaces.<br />
<br />
===Andrew Zimmer===<br />
<br />
''The geometry of domains with negatively pinched Kaehler metrics''<br />
<br />
Every bounded pseudoconvex domain in C^n has a natural complete metric: the Kaehler-Einstein metric constructed by Cheng-Yau. When the boundary of the domain is strongly pseudoconvex, Cheng-Yau showed that the holomorphic sectional curvature of this metric is asymptotically a negative constant. In this talk I will describe some partial converses to this result, including the following: if a smoothly bounded convex domain has a complete Kaehler metric with close to constant negative holomorphic sectional curvature near the boundary, then the domain is strongly pseudoconvex. This is joint work with F. Bracci and H. Gaussier.<br />
<br />
<br />
===Brian Street===<br />
<br />
''Maximal Hypoellipticity''<br />
<br />
In 1974, Folland and Stein introduced a generalization of ellipticity known as maximal hypoellipticity. This talk will be an introduction to this concept and some of the ways it generalizes ellipticity.<br />
<br />
<br />
===Zhen Zeng===<br />
<br />
''Decay property of multilinear oscillatory integrals''<br />
<br />
In this talk, I will be talking about the conditions of the phase function $P$ and the linear mappings $\{\pi_i\}_{i=1}^n$ to ensure the asymptotic power decay properties of the following trilinear oscillatory integrals <br />
\[<br />
I_{\lambda}(f_1,f_2,f_3)=\int_{\mathbb{R}^m}e^{i\lambda P(x)}\prod_{j=1}^3 f_j(\pi_j(x))\eta(x)dx, <br />
\]<br />
which falls into the broad goal in the previous work of Christ, Li, Tao and Thiele.<br />
<br />
<br />
<br />
= 2017-2018 Analysis Seminar Schedule =<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
|align="left" | '''institution'''<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 8 in B239 (Colloquium)<br />
| Tess Anderson<br />
| UW Madison<br />
|[[#linktoabstract | A Spherical Maximal Function along the Primes]]<br />
|Tonghai<br />
|-<br />
|September 19<br />
| Brian Street<br />
| UW Madison<br />
|[[#Brian Street | Convenient Coordinates ]]<br />
| Betsy<br />
|-<br />
|September 26<br />
| Hiroyoshi Mitake<br />
| Hiroshima University<br />
|[[#Hiroyoshi Mitake | Derivation of multi-layered interface system and its application ]]<br />
| Hung<br />
|-<br />
|October 3<br />
| Joris Roos<br />
| UW Madison<br />
|[[#Joris Roos | A polynomial Roth theorem on the real line ]]<br />
| Betsy<br />
|-<br />
|October 10<br />
| Michael Greenblatt<br />
| UI Chicago<br />
|[[#Michael Greenblatt | Maximal averages and Radon transforms for two-dimensional hypersurfaces ]]<br />
| Andreas<br />
|-<br />
|October 17<br />
| David Beltran<br />
| Basque Center of Applied Mathematics<br />
|[[#David Beltran | Fefferman-Stein inequalities ]]<br />
| Andreas<br />
|-<br />
|Wednesday, October 18, 4:00 p.m. in B131<br />
|Jonathan Hickman<br />
|University of Chicago<br />
|[[#Jonathan Hickman | Factorising X^n ]]<br />
|Andreas<br />
|-<br />
|October 24<br />
| Xiaochun Li<br />
| UIUC<br />
|[[#Xiaochun Li | Recent progress on the pointwise convergence problems of Schroedinger equations ]]<br />
| Betsy<br />
|-<br />
|Thursday, October 26, 4:30 p.m. in B139<br />
| Fedor Nazarov<br />
| Kent State University<br />
|[[#Fedor Nazarov | The Lerner-Ombrosi-Perez bound in the Muckenhoupt Wheeden conjecture is sharp ]]<br />
| Sergey, Andreas<br />
|-<br />
|Friday, October 27, 4:00 p.m. in B239<br />
| Stefanie Petermichl<br />
| University of Toulouse<br />
|[[#Stefanie Petermichl | Higher order Journé commutators ]]<br />
| Betsy, Andreas<br />
|-<br />
|Wednesday, November 1, 4:00 p.m. in B239 (Colloquium)<br />
| Shaoming Guo<br />
| Indiana University<br />
|[[#Shaoming Guo | Parsell-Vinogradov systems in higher dimensions ]]<br />
| Andreas<br />
|-<br />
|November 14<br />
| Naser Talebizadeh Sardari<br />
| UW Madison<br />
|[[#Naser Talebizadeh Sardari | Quadratic forms and the semiclassical eigenfunction hypothesis ]]<br />
| Betsy<br />
|-<br />
|November 28<br />
| Xianghong Chen<br />
| UW Milwaukee<br />
|[[#Xianghong Chen | Some transfer operators on the circle with trigonometric weights ]]<br />
| Betsy<br />
|-<br />
|Monday, December 4, 4:00, B139<br />
| Bartosz Langowski and Tomasz Szarek<br />
| Institute of Mathematics, Polish Academy of Sciences<br />
|[[#Bartosz Langowski and Tomasz Szarek | Discrete Harmonic Analysis in the Non-Commutative Setting ]]<br />
| Betsy<br />
|-<br />
|Wednesday, December 13, 4:00, B239 (Colloquium)<br />
|Bobby Wilson <br />
|MIT<br />
|[[#Bobby Wilson | Projections in Banach Spaces and Harmonic Analysis ]]<br />
| Andreas<br />
|-<br />
| Monday, February 5, 3:00-3:50, B341 (PDE-GA seminar)<br />
| Andreas Seeger<br />
| UW<br />
|[[#Andreas Seeger | Singular integrals and a problem on mixing flows]] <br />
|<br />
|-<br />
|February 6<br />
| Dong Dong<br />
| UIUC<br />
| [[#Dong Dong | Hibert transforms in a 3 by 3 matrix and applications in number theory]]<br />
|Betsy<br />
|-<br />
|February 13<br />
| Sergey Denisov<br />
| UW Madison<br />
| [[#Sergey Denisov | Spectral Szegő theorem on the real line]]<br />
| <br />
|-<br />
|February 20<br />
| Ruixiang Zhang <br />
| IAS (Princeton)<br />
| [[#Ruixiang Zhang | The (Euclidean) Fractal Uncertainty Principle]]<br />
| Betsy, Jordan, Andreas<br />
|-<br />
|February 27<br />
|Detlef Müller <br />
|University of Kiel<br />
| [[#Detlef Müller | On Fourier restriction for a non-quadratic hyperbolic surface]]<br />
|Betsy, Andreas<br />
|-<br />
|Wednesday, March 7, 4:00 p.m.<br />
| Winfried Sickel <br />
|Friedrich-Schiller-Universität Jena<br />
| [[#Winfried Sickel | On the regularity of compositions of functions]]<br />
|Andreas<br />
|-<br />
|March 20<br />
| Betsy Stovall<br />
| UW<br />
| [[#linkofabstract | Two endpoint bounds via inverse problems]]<br />
|<br />
|-<br />
|April 10<br />
| Martina Neuman<br />
| UC Berkeley<br />
| [[#Martina Neuman | Gowers-Host-Kra norms and Gowers structure on Euclidean spaces]]<br />
| Betsy<br />
|-<br />
|Friday, April 13, 4:00 p.m. (Colloquium, 911 VV)<br />
|Jill Pipher<br />
|Brown<br />
| [[#Jill Pipher | Mathematical ideas in cryptography]]<br />
|WIMAW<br />
|-<br />
|April 17<br />
| <br />
| <br />
| [[#linkofabstract | Title]]<br />
|<br />
|-<br />
|April 24<br />
| Lenka Slavíková<br />
| University of Missouri<br />
| [[#Lenka Slavíková | <math>L^2 \times L^2 \to L^1</math> boundedness criteria]]<br />
|Betsy, Andreas<br />
|-<br />
|May 1 '''at 3:30pm'''<br />
| Xianghong Gong<br />
| UW<br />
| [[#Xianghong Gong | Smooth equivalence of deformations of domains in complex euclidean spaces]]<br />
|<br />
|-<br />
| '''May 2 in B239 at 4pm'''<br />
| Keith Rush<br />
| senior data scientist with the Milwaukee Brewers<br />
| [[#Keith Rush | Guerilla warfare: ruling the data jungle]]<br />
|-<br />
| '''May 7''' in '''B223'''<br />
| Ebru Toprak<br />
| UIUC<br />
| [[#Ebru Toprak |Dispersive estimates for massive Dirac equations]]<br />
|Betsy<br />
|-<br />
| '''May 15'''<br />
| Gennady Uraltsev<br />
| Cornell<br />
| [[#linkofabstract | TBA]]<br />
| Andreas, Betsy<br />
|-<br />
| May 16-18, [http://www.math.wisc.edu/~stovall/FA2018/ Workshop in Fourier Analysis]<br />
|<br />
|<br />
|<br />
|Betsy, Andreas<br />
|-<br />
|}<br />
<br />
=Abstracts=<br />
===Brian Street===<br />
<br />
Title: Convenient Coordinates<br />
<br />
Abstract: We discuss the method of picking a convenient coordinate system adapted to vector fields. Let X_1,...,X_q be either real or complex C^1 vector fields. We discuss the question of when there is a coordinate system in which the vector fields are smoother (e.g., C^m, or C^\infty, or real analytic). By answering this in a quantitative way, we obtain coordinate charts which can be used as generalized scaling maps. When the vector fields are real this is joint work with Stovall, and continues in the line of quantitative sub-Riemannian geometry initiated by Nagel, Stein, and Wainger. When the vector fields are complex one obtains a geometry with more structure which can be thought of as "sub-Hermitian".<br />
<br />
===Hiroyoshi Mitake===<br />
<br />
Title: Derivation of multi-layered interface system and its application<br />
<br />
Abstract: In this talk, I will propose a multi-layered interface system which can <br />
be formally derived by the singular limit of the weakly coupled system of <br />
the Allen-Cahn equation. By using the level set approach, this system can be <br />
written as a quasi-monotone degenerate parabolic system. <br />
We give results of the well-posedness of viscosity solutions, and study the <br />
singularity of each layers. This is a joint work with H. Ninomiya, K. Todoroki.<br />
<br />
===Joris Roos===<br />
<br />
Title: A polynomial Roth theorem on the real line<br />
<br />
Abstract: For a polynomial P of degree greater than one, we show the existence of patterns of the form (x,x+t,x+P(t)) with a gap estimate on t in positive density subsets of the reals. This is an extension of an earlier result of Bourgain. Our proof is a combination of Bourgain’s approach and more recent methods that were originally developed for the study of the bilinear Hilbert transform along curves. This talk is based on a joint work with Polona Durcik and Shaoming Guo.<br />
<br />
===Michael Greenblatt===<br />
<br />
Title: Maximal averages and Radon transforms for two-dimensional hypersurfaces<br />
<br />
Abstract: A general local result concerning L^p boundedness of maximal averages over 2D hypersurfaces is described, where p > 2. The surfaces are allowed to have either the traditional smooth density function or a singularity growing as |(x,y)|^{-t} for some 0 < t < 2. This result is a generalization of a theorem of Ikromov, Kempe, and Mueller. Similar methods can be used to show sharp L^p to L^p_a Sobolev estimates for associated Radon transform operators when p is in a certain interval containing 2.<br />
<br />
===David Beltran===<br />
<br />
Title: Fefferman Stein Inequalities<br />
<br />
Abstract: Given an operator T, we focus on obtaining two-weighted inequalities in which the weights are related via certain maximal function. These inequalites, which originated in work of Fefferman and Stein, have been established in an optimal way for different classical operators in Harmonic Analysis. In this talk, we survey some classical results and we present some recent Fefferman-Stein inequalities for pseudodifferential operators and for the solution operators to dispersive equations.<br />
<br />
===Jonathan Hickman===<br />
<br />
Title: Factorising X^n.<br />
<br />
Question: how many ways can the polynomial $X^n$ be factorised as a product of linear factors? Answer: it depends on the ring... In this talk I will describe joint work with Jim Wright investigating certain exponential sum estimates over rings of integers modulo N. This theory serves as a discrete analogue of the (euclidean) Fourier restriction problem, a central question in contemporary harmonic analysis. In particular, as part of this study, the question of counting the number of factorisations of polynomials over such rings naturally arises. I will describe how these number-theoretic considerations can themselves be approached via methods from harmonic analysis.<br />
<br />
===Xiaochun Li ===<br />
<br />
Title: Recent progress on the pointwise convergence problems of Schrodinger equations<br />
<br />
Abstract: Recently, Guth, Du and I solved the pointwise convergence problem of Schrodinger equations in two-dimensional case. We proved that the solution to free Schrodinger equation in R^2 converges to its initial data, provided the initial data belongs to H^s for s larger than 1/3. This result is sharp, up to the end point, due to Bourgain's example. The proof relies on the polynomial partitioning method and the decoupling method. In addition, the pointwise convergence problem is closely related to Fourier restriction conjecture.<br />
<br />
===Fedor Nazarov=== <br />
<br />
Title: The Lerner-Ombrosi-Perez bound in the Muckenhoupt-Wheeden<br />
conjecture is sharp.<br />
<br />
Abstract: We show that the upper bound $[w]_{A_1}\log (e+[w]_{A_1})$ for<br />
the norm of the Hilbert transform on the line as an operator from $L^1(w)$<br />
to $L^{1,\infty}(w)$ cannot be improved in general. This is a joint work<br />
with Andrei Lerner and Sheldy Ombrosi.<br />
<br />
===Stefanie Petermichl===<br />
Title: Higher order Journé commutators<br />
<br />
Abstract: We consider questions that stem from operator theory via Hankel and<br />
Toeplitz forms and target (weak) factorisation of Hardy spaces. In<br />
more basic terms, let us consider a function on the unit circle in its<br />
Fourier representation. Let P_+ denote the projection onto<br />
non-negative and P_- onto negative frequencies. Let b denote<br />
multiplication by the symbol function b. It is a classical theorem by<br />
Nehari that the composed operator P_+ b P_- is bounded on L^2 if and<br />
only if b is in an appropriate space of functions of bounded mean<br />
oscillation. The necessity makes use of a classical factorisation<br />
theorem of complex function theory on the disk. This type of question<br />
can be reformulated in terms of commutators [b,H]=bH-Hb with the<br />
Hilbert transform H=P_+ - P_- . Whenever factorisation is absent, such<br />
as in the real variable setting, in the multi-parameter setting or<br />
other, these classifications can be very difficult.<br />
<br />
Such lines were begun by Coifman, Rochberg, Weiss (real variables) and<br />
by Cotlar, Ferguson, Sadosky (multi-parameter) of characterisation of<br />
spaces of bounded mean oscillation via L^p boundedness of commutators.<br />
We present here an endpoint to this theory, bringing all such<br />
characterisation results under one roof.<br />
<br />
The tools used go deep into modern advances in dyadic harmonic<br />
analysis, while preserving the Ansatz from classical operator theory.<br />
<br />
===Shaoming Guo ===<br />
Title: Parsell-Vinogradov systems in higher dimensions<br />
<br />
Abstract: <br />
I will present a few results on counting the numbers of integer solutions of Parsell-Vinogradov systems in higher dimensions.<br />
Applications to Waring’s problem and to the problem of counting rational linear subspaces lying on certain hyper-surface will be discussed.<br />
Joint works with Jean Bourgain, Ciprian Demeter and Ruixiang Zhang.<br />
<br />
===Naser Talebizadeh Sardari===<br />
<br />
Title: Quadratic forms and the semiclassical eigenfunction hypothesis<br />
<br />
Abstract: Let <math>Q(X)</math> be any integral primitive positive definite quadratic form in <math>k</math> variables, where <math>k\geq4</math>, and discriminant <math>D</math>. For any integer <math>n</math>, we give an upper bound on the number of integral solutions of <math>Q(X)=n</math> in terms of <math>n</math>, <math>k</math>, and <math>D</math>. As a corollary, we prove a conjecture of Lester and Rudnick on the small scale equidistribution of almost all functions belonging to any orthonormal basis of a given eigenspace of the Laplacian on the flat torus <math>\mathbb{T}^d</math> for <math>d\geq 5</math>. This conjecture is motivated by the work of Berry\cite{Berry, Michael} on semiclassical eigenfunction hypothesis.<br />
<br />
===Xianghong Chen===<br />
<br />
Title: Some transfer operators on the circle with trigonometric weights<br />
<br />
Abstract: A transfer operator is an averaging operator over the preimages of a given map. Certain dynamical properties of the map can be studied through its associated transfer operator. In this talk we will introduce a class of weighted transfer operators associated to the Bernoulli maps on the circle (i.e. multiplication by a given integer, mod 1). We will illustrate how the spectral properties of these operators may depend on the specific weight chosen and demonstrate multiple phase transitions. We also present some results on evaluating the spectral radii and corresponding eigenfunctions of these operators, as well as their connections to Fourier analysis. This is joint work with Hans Volkmer. <br />
<br />
===Bobby Wilson===<br />
<br />
Title: Projections in Banach Spaces and Harmonic Analysis<br />
<br />
Abstract: In this talk, we will discuss the measure theoretic principles of orthogonal projections that follow from the classical Besicovitch-Federer projection theorem. The Besicovitch-Federer projection theorem offers a characterization of rectifiability of one-dimensional sets in R^d by the size of their projections to lines. We will focus on the validity of analogues to the Besicovitch-Federer projection theorem with respect to such sets in general Banach spaces. In particular, we will show that the projection theorem is false when the Banach space is infinite-dimensional and discuss related applications to questions in Harmonic Analysis. This is joint work with Marianna Csornyei and David Bate.<br />
<br />
===Andreas Seeger===<br />
<br />
Title: Singular integrals and a problem on mixing flows<br />
<br />
Abstract: The talk will be about results related to Bressan's mixing problem. We present an inequality for the change of a Bianchini semi-norm of characteristic functions under the flow generated by a divergence free time dependent vector field. The approach leads to a bilinear singular integral operator for which one proves bounds on Hardy spaces. This is joint work with Mahir Hadžić, Charles Smart and Brian Street.<br />
<br />
===Dong Dong===<br />
<br />
Title: Hibert transforms in a 3 by 3 matrix and applications in number theory<br />
<br />
Abstract: This talk could interest both analysts and number theorists. I will first present 35 variants of Hilbert transforms, with a focus on their connections with ergodic theory, number theory, and combinatorics. Then I will show how to use Fourier analysis tools to reduce a number theory problem (Roth theorem) to an algebraic geometry problem: this joint work Li and Sawin fully answers a question of Bourgain and Chang about three-term polynomial progressions in subsets of finite fields. I guarantee that a second-year graduate student can understand at least 50% of the talk.<br />
<br />
===Sergey Denisov===<br />
<br />
Title: Spectral Szegő theorem on the real line<br />
<br />
Abstract: For even measures on the real line, we give the criterion for the logarithmic integral to converge in terms of the corresponding De-Branges system (or Krein's string). The applications to probability (linear prediction for stationary Gaussian processes) will be explained. This is the joint result with R. Bessonov.<br />
<br />
===Ruixiang Zhang===<br />
<br />
Title: The (Euclidean) Fractal Uncertainty Principle<br />
<br />
Abstract: On the real line, a version of the uncertainty principle says: If a nonzero function f has its Fourier support lying in B and |A||B| is much smaller than 1, then the L^2 norm of f on A cannot be close to the whole L^2 norm of f. Recently, Bourgain and Dyatlov proved a Fractal Uncertainty Principle (FUP) which has a similar statement. The difference is that in FUP the product of |A| and |B| can be much bigger, but A and B both have to be porous at many scales. We will introduce the theorem and then discuss some unusual features of its proof, most notably the application of the Beurling-Malliavin Theorem. In the original work the dependence on the dimensions of both fractals was ineffective. We will also discuss why we can overcome this ineffectivity (joint work with Long Jin).<br />
<br />
===Detlef Müller===<br />
<br />
Title: On Fourier restriction for a non-quadratic hyperbolic surface<br />
<br />
Abstract: In contrast to what is known about Fourier restriction for elliptic surfaces, rather little is known about hyperbolic surfaces. Hitherto, basically only the quadric $z=xy$ had been studied successfully. In my talk, after giving some background on Fourier restriction, I shall report on recent joint work with S. Buschenhenke and A. Vargas on a cubic perturbation of this quadric. Our analysis reveals that the geometry of the problem changes drastically in the presence of a perturbation term, and that new techniques, compared to the elliptic case, are required to handle more general hyperbolic surfaces.<br />
<br />
===Winfried Sickel===<br />
<br />
Title: On the regularity of compositions of functions<br />
<br />
Abstract: Let <math>E</math> denote a Banach space of locally integrable functions on <math>\mathbb{R}</math>. To each continuous function <math>f:\mathbb{R} \to \mathbb{R}</math><br />
we associate the composition operator<br />
<math>T_f(g):= f\circ g</math>, <math>g\in E</math>. <br />
The properties of <math>T_f</math> strongly depend on the chosen function space <math>E</math>.<br />
In my talk I will concentrate on Sobolev spaces <math>W^m_p</math> and Slobodeckij spaces <math>W^s_p</math>.<br />
The main aim will consist in giving a survey on necessary and sufficient conditions on <math>f</math><br />
such that the composition operator maps such a space <math>E</math> into itself.<br />
<br />
===Martina Neuman===<br />
<br />
Title: Gowers-Host-Kra norms and Gowers structure on Euclidean spaces<br />
<br />
Abstract: The investigation on Brascamp-Lieb data - their structure, their extremizability, their stability and regularity of their constants - has been an active one in Harmonic Analysis. In this talk, I'll present an example of a Brascamp-Lieb structure: a so-called Gowers structure on Euclidean spaces, together with the related Gowers-Host-Kra norms - these were originally tools in additive combinatorics context. I'll dissertate on what happens when a function nearly achieves its Gowers-Host-Kra norm in a Euclidean context - this can be seen as continuation of the work of Eisner-Tao - and a related stability result of the Gowers structure on Euclidean spaces.<br />
<br />
===Jill Pipher===<br />
<br />
Title: Mathematical ideas in cryptography<br />
<br />
Abstract: This talk does not assume prior knowledge of public key crypto (PKC). I'll talk about the history of the subject and some current areas of research,<br />
including homomorphic encryption.<br />
<br />
===Lenka Slavíková===<br />
<br />
Title: <math>L^2 \times L^2 \to L^1</math> boundedness criteria<br />
<br />
Abstract: It is a consequence of Plancherel's identity that a linear multiplier operator associated with a function <math>m</math> is bounded from <math>L^2</math> to itself if and only if <math>m</math> belongs to the space <math>L^\infty</math>. In this talk we will investigate the <math>L^2 \times L^2 \to L^1</math> boundedness of bilinear multiplier operators which is as central in the bilinear theory as the <math>L^2</math> boundedness is in the linear multiplier theory. We will present a sharp <math>L^2 \times L^2 \to L^1</math> boundedness criterion for a class of bilinear operators associated with a multiplier given by a signed sum of dyadic dilations of a given function, in terms of the <math>L^q</math> integrability of this function; precisely we will show that boundedness holds if and only if <math>q<4</math>. We will then discuss applications of this result concerning bilinear rough singular integrals and bilinear dyadic spherical maximal functions. This is a joint work with L. Grafakos and D. He.<br />
<br />
===Xianghong Gong===<br />
<br />
Title: Smooth equivalence of deformations of domains in complex euclidean spaces<br />
<br />
Abstract: We prove that two smooth families of 2-connected domains in the complex plane are smoothly equivalent if they are equivalent under a possibly discontinuous family of biholomorphisms. We construct two smooth families of smoothly bounded domains in C^n for n>=1 that are equivalent under discontinuous families of biholomorphisms but not under any continuous family of biholomorphisms. Finally, we give sufficient conditions for the smooth equivalence of two smooth families of domains. This is joint work with Hervé Gaussier.<br />
<br />
===Keith Rush===<br />
<br />
Title: Guerilla warfare: ruling the data jungle<br />
<br />
Abstract: Einstein said ‘As far as the laws of mathematics refer to reality, they are not certain, and as far as they are certain, they do not refer to reality.’ In this epistemological chaos, the world turns to those experienced with mathematical truth to apply their reasoning powers in the uncertain domain of existence. This talk will describe the fact and fiction of this business reality, the pitfalls (intellectual, moral, and social) and the opportunities. I will discuss the state of business analytics today, at least in sports, the relationship of a pure mathematician to it, and what it is like to help lead the charge as applied mathematics eats the world.<br />
<br />
===Ebru Toprak===<br />
<br />
Title: Dispersive estimates for massive Dirac equations<br />
<br />
Abstract: In this talk, I will cover some existing L^1 \rightarrow L^\infty dispersive estimates for the linear Schr\"odinger equation with potential and present a related study on the two and three dimensional massive Dirac equation. In two dimension, we show that the t^{-1} decay rate holds if the threshold energies are regular or if there are s-wave resonances at the threshold. We further show that, if the threshold energies are regular then a faster decay rate of t^{-1}(\log t)^{-2} is attained for large t, at the cost of logarithmic spatial weights, which is not the case for the free Dirac equation. In three dimension, we show that the solution operator is composed of a finite rank operator that decays at the rate t^{-1/2} plus a term that decays at the rate t^{-3/2}. This is a joint work with M.Burak Erdo\u{g}an and William Green.</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=AMS_Student_Chapter_Seminar&diff=17310AMS Student Chapter Seminar2019-04-12T20:14:51Z<p>Nagreen: /* April 17, Hyun-Jong Kim */</p>
<hr />
<div>The AMS Student Chapter Seminar is an informal, graduate student seminar on a wide range of mathematical topics. Pastries (usually donuts) will be provided.<br />
<br />
* '''When:''' Wednesdays, 3:20 PM – 3:50 PM<br />
* '''Where:''' Van Vleck, 9th floor lounge (unless otherwise announced)<br />
* '''Organizers:''' [https://www.math.wisc.edu/~malexis/ Michel Alexis], [https://www.math.wisc.edu/~drwagner/ David Wagner], [http://www.math.wisc.edu/~nicodemus/ Patrick Nicodemus], [http://www.math.wisc.edu/~thaison/ Son Tu]<br />
<br />
Everyone is welcome to give a talk. To sign up, please contact one of the organizers with a title and abstract. Talks are 30 minutes long and should avoid assuming significant mathematical background beyond first-year graduate courses.<br />
<br />
The schedule of talks from past semesters can be found [[AMS Student Chapter Seminar, previous semesters|here]].<br />
<br />
== Spring 2019 ==<br />
<br />
=== February 6, Xiao Shen (in VV B139)===<br />
<br />
Title: Limit Shape in last passage percolation<br />
<br />
Abstract: Imagine the following situation, attached to each point on the integer lattice Z^2 there is an arbitrary amount of donuts. Fix x and y in Z^2, if you get to eat all the donuts along an up-right path between these two points, what would be the maximum amount of donuts you can get? This model is often called last passage percolation, and I will discuss a classical result about its scaling limit: what happens if we zoom out and let the distance between x and y tend to infinity.<br />
<br />
=== February 13, Michel Alexis (in VV B139)===<br />
<br />
Title: An instructive yet useless theorem about random Fourier Series<br />
<br />
Abstract: Consider a Fourier series with random, symmetric, independent coefficients. With what probability is this the Fourier series of a continuous function? An <math>L^{p}</math> function? A surprising result is the Billard theorem, which says such a series results almost surely from an <math>L^{\infty}</math> function if and only if it results almost surely from a continuous function. Although the theorem in of itself is kind of useless in of itself, its proof is instructive in that we will see how, via the principle of reduction, one can usually just pretend all symmetric random variables are just coin flips (Bernoulli trials with outcomes <math>\pm 1</math>).<br />
<br />
=== February 20, Geoff Bentsen ===<br />
<br />
Title: An Analyst Wanders into a Topology Conference<br />
<br />
Abstract: Fourier Restriction is a big open problem in Harmonic Analysis; given a "small" subset <math>E</math> of <math>R^d</math>, can we restrict the Fourier transform of an <math>L^p</math> function to <math>E</math> and retain any information about our original function? This problem has a nice (somewhat) complete solution for smooth manifolds of co-dimension one. I will explore how to start generalizing this result to smooth manifolds of higher co-dimension, and how a topology paper from the 60s about the hairy ball problem came in handy along the way.<br />
<br />
=== February 27, James Hanson ===<br />
<br />
Title: What is...a Topometric Space?<br />
<br />
Abstract: Continuous first-order logic is a generalization of first-order logic that is well suited for the study of structures with a natural metric, such as Banach spaces and probability algebras. Topometric spaces are a simple generalization of topological and metric spaces that arise in the study of continuous first-order logic. I will discuss certain topological issues that show up in topometric spaces coming from continuous logic, as well as some partial solutions and open problems. No knowledge of logic will be required for or gained from attending the talk.<br />
<br />
=== March 6, Working Group to establish an Association of Mathematics Graduate Students ===<br />
<br />
Title: Introducing GRAMS (Graduate Representative Association of Mathematics Students)<br />
<br />
Abstract: Over the past couple months, a handful of us have been working to create the UW Graduate Representative Association of Mathematics Students (GRAMS). This group, about 5-8 students, is intended to be a liaison between the graduate students and faculty, especially in relation to departmental policies and decisions that affect graduate students. We will discuss what we believe GRAMS ought to look like and the steps needed to implement such a vision, then open up the floor to a Q&A. Check out our [http://sites.google.com/wisc.edu/grams/home website] for more information.<br />
<br />
=== March 13, Connor Simpson ===<br />
<br />
Title: Counting faces of polytopes with algebra<br />
<br />
Abstract: A natural question is: with a fixed dimension and number of vertices, what is the largest number of d-dimensional faces that a polytope can have? We will outline a proof of the answer to this question.<br />
<br />
=== March 26 (Prospective Student Visit Day), Multiple Speakers ===<br />
<br />
====Eva Elduque, 11-11:25====<br />
<br />
Title: Will it fold flat?<br />
<br />
Abstract: Picture the traditional origami paper crane. It is a 3D object, but if you don’t make the wings stick out, it is flat. This is the case for many origami designs, ranging from very simple (like a paper hat), to complicated tessellations. Given a crease pattern on a piece of paper, one might wonder if it is possible to fold along the lines of the pattern and end up with a flat object. We’ll discuss necessary and sufficient conditions for a crease pattern with only one vertex to fold flat, and talk about what can be said about crease patterns with multiple vertices.<br />
<br />
====Soumya Sankar, 11:30-11:55====<br />
<br />
Title: An algebro-geometric perspective on integration<br />
<br />
Abstract: Integrals are among the most basic tools we learn in complex analysis and yet are extremely versatile. I will discuss one way in which integrals come up in algebraic geometry and the surprising amount of arithmetic and geometric information this gives us.<br />
<br />
====Chun Gan, 12:00-12:25====<br />
<br />
Title: Extension theorems in complex analysis<br />
<br />
Abstract: Starting from Riemann's extension theorem in one complex variable, there have been many generalizations to different situations in several complex variables. I will talk about Fefferman's field's medal work on Fefferman extension and also the celebrated Ohsawa-Takegoshi L^2 extension theorem which is now a cornerstone for the application of pluripotential theory to complex analytic geometry.<br />
<br />
====Jenny Yeon, 2:00-2:25====<br />
<br />
Title: Application of Slope Field<br />
<br />
Abstract: Overview of historical problems in Dynamical Systems and what CRN(chemical reaction network) group at UW Madison does. In particular, what exactly is the butterfly effect? Why is this simple-to-state problem so hard even if it is only 2D (Hilbert's 16th problem)? What are some modern techniques availble? What do the members of CRN group do? Is the theory of CRN applicable? <br />
<br />
====Rajula Srivastava, 2:30-2:55====<br />
<br />
Title: The World of Wavelets<br />
<br />
Abstract: Why the fourier series might not be the best way to represent functions in all cases, and why wavelets might be a good alternative in some of these.<br />
<br />
====Shengyuan Huang, 3:00-3:25====<br />
<br />
Title: Group objects in various categories<br />
<br />
Abstract: I will introduce categories and talk about group objects in the category of sets and manifolds. The latter leads to the theory of Lie group and Lie algebras. We can then talk about group objects in some other category coming from algebraic geometry and obtain similar results as Lie groups and Lie algebras.<br />
<br />
====Ivan Ongay Valverde, 3:30-3:55====<br />
<br />
Title: Games and Topology<br />
<br />
Abstract: Studying the topology of the real line leads to really interesting questions and facts. One of them is the relation between some kind of infinite games, called topological games, and specific properties of a subsets of reals. In this talk we will study the perfect set game.<br />
<br />
====Sun Woo Park, 4:00-4:25====<br />
<br />
Title: Reconstruction of character tables of Sn<br />
<br />
Abstract: We will discuss how we can relate the columns of the character tables of Sn and the tensor product of irreducible representations over Sn. Using the relation, we will also indicate how we can recover some columns of character tables of Sn. <br />
<br />
====Max Bacharach, 4:30-4:55====<br />
<br />
Title: Clothes, Lice, and Coalescence<br />
<br />
Abstract: A gentle introduction to coalescent theory, motivated by an application which uses lice genetics to estimate when human ancestors first began wearing clothing.<br />
<br />
=== April 3, Yu Feng ===<br />
<br />
Title: Suppression of phase separation by mixing<br />
<br />
Abstract: The Cahn-Hilliard equation is a classical PDE that models phase separation of two components. We add an advection term so that the two components are stirred by a velocity. We show that there exists a class of fluid that can prevent phase separation and enforce the solution converges to its average exponentially.<br />
<br />
=== April 17, Hyun-Jong Kim===<br />
<br />
Title: Musical Harmony for the Mathematician<br />
<br />
Abstract: TBD<br />
<br />
=== April 24, Carrie Chen ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
== Fall 2019 ==<br />
<br />
=== September 25, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 2, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 9, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 16, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 23, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 30, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 6, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 13, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 20, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== December 4, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== December 12, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=AMS_Student_Chapter_Seminar&diff=17304AMS Student Chapter Seminar2019-04-11T14:20:54Z<p>Nagreen: /* April 17, Hyun-Jong */</p>
<hr />
<div>The AMS Student Chapter Seminar is an informal, graduate student seminar on a wide range of mathematical topics. Pastries (usually donuts) will be provided.<br />
<br />
* '''When:''' Wednesdays, 3:20 PM – 3:50 PM<br />
* '''Where:''' Van Vleck, 9th floor lounge (unless otherwise announced)<br />
* '''Organizers:''' [https://www.math.wisc.edu/~malexis/ Michel Alexis], [https://www.math.wisc.edu/~drwagner/ David Wagner], [http://www.math.wisc.edu/~nicodemus/ Patrick Nicodemus], [http://www.math.wisc.edu/~thaison/ Son Tu]<br />
<br />
Everyone is welcome to give a talk. To sign up, please contact one of the organizers with a title and abstract. Talks are 30 minutes long and should avoid assuming significant mathematical background beyond first-year graduate courses.<br />
<br />
The schedule of talks from past semesters can be found [[AMS Student Chapter Seminar, previous semesters|here]].<br />
<br />
== Spring 2019 ==<br />
<br />
=== February 6, Xiao Shen (in VV B139)===<br />
<br />
Title: Limit Shape in last passage percolation<br />
<br />
Abstract: Imagine the following situation, attached to each point on the integer lattice Z^2 there is an arbitrary amount of donuts. Fix x and y in Z^2, if you get to eat all the donuts along an up-right path between these two points, what would be the maximum amount of donuts you can get? This model is often called last passage percolation, and I will discuss a classical result about its scaling limit: what happens if we zoom out and let the distance between x and y tend to infinity.<br />
<br />
=== February 13, Michel Alexis (in VV B139)===<br />
<br />
Title: An instructive yet useless theorem about random Fourier Series<br />
<br />
Abstract: Consider a Fourier series with random, symmetric, independent coefficients. With what probability is this the Fourier series of a continuous function? An <math>L^{p}</math> function? A surprising result is the Billard theorem, which says such a series results almost surely from an <math>L^{\infty}</math> function if and only if it results almost surely from a continuous function. Although the theorem in of itself is kind of useless in of itself, its proof is instructive in that we will see how, via the principle of reduction, one can usually just pretend all symmetric random variables are just coin flips (Bernoulli trials with outcomes <math>\pm 1</math>).<br />
<br />
=== February 20, Geoff Bentsen ===<br />
<br />
Title: An Analyst Wanders into a Topology Conference<br />
<br />
Abstract: Fourier Restriction is a big open problem in Harmonic Analysis; given a "small" subset <math>E</math> of <math>R^d</math>, can we restrict the Fourier transform of an <math>L^p</math> function to <math>E</math> and retain any information about our original function? This problem has a nice (somewhat) complete solution for smooth manifolds of co-dimension one. I will explore how to start generalizing this result to smooth manifolds of higher co-dimension, and how a topology paper from the 60s about the hairy ball problem came in handy along the way.<br />
<br />
=== February 27, James Hanson ===<br />
<br />
Title: What is...a Topometric Space?<br />
<br />
Abstract: Continuous first-order logic is a generalization of first-order logic that is well suited for the study of structures with a natural metric, such as Banach spaces and probability algebras. Topometric spaces are a simple generalization of topological and metric spaces that arise in the study of continuous first-order logic. I will discuss certain topological issues that show up in topometric spaces coming from continuous logic, as well as some partial solutions and open problems. No knowledge of logic will be required for or gained from attending the talk.<br />
<br />
=== March 6, Working Group to establish an Association of Mathematics Graduate Students ===<br />
<br />
Title: Introducing GRAMS (Graduate Representative Association of Mathematics Students)<br />
<br />
Abstract: Over the past couple months, a handful of us have been working to create the UW Graduate Representative Association of Mathematics Students (GRAMS). This group, about 5-8 students, is intended to be a liaison between the graduate students and faculty, especially in relation to departmental policies and decisions that affect graduate students. We will discuss what we believe GRAMS ought to look like and the steps needed to implement such a vision, then open up the floor to a Q&A. Check out our [http://sites.google.com/wisc.edu/grams/home website] for more information.<br />
<br />
=== March 13, Connor Simpson ===<br />
<br />
Title: Counting faces of polytopes with algebra<br />
<br />
Abstract: A natural question is: with a fixed dimension and number of vertices, what is the largest number of d-dimensional faces that a polytope can have? We will outline a proof of the answer to this question.<br />
<br />
=== March 26 (Prospective Student Visit Day), Multiple Speakers ===<br />
<br />
====Eva Elduque, 11-11:25====<br />
<br />
Title: Will it fold flat?<br />
<br />
Abstract: Picture the traditional origami paper crane. It is a 3D object, but if you don’t make the wings stick out, it is flat. This is the case for many origami designs, ranging from very simple (like a paper hat), to complicated tessellations. Given a crease pattern on a piece of paper, one might wonder if it is possible to fold along the lines of the pattern and end up with a flat object. We’ll discuss necessary and sufficient conditions for a crease pattern with only one vertex to fold flat, and talk about what can be said about crease patterns with multiple vertices.<br />
<br />
====Soumya Sankar, 11:30-11:55====<br />
<br />
Title: An algebro-geometric perspective on integration<br />
<br />
Abstract: Integrals are among the most basic tools we learn in complex analysis and yet are extremely versatile. I will discuss one way in which integrals come up in algebraic geometry and the surprising amount of arithmetic and geometric information this gives us.<br />
<br />
====Chun Gan, 12:00-12:25====<br />
<br />
Title: Extension theorems in complex analysis<br />
<br />
Abstract: Starting from Riemann's extension theorem in one complex variable, there have been many generalizations to different situations in several complex variables. I will talk about Fefferman's field's medal work on Fefferman extension and also the celebrated Ohsawa-Takegoshi L^2 extension theorem which is now a cornerstone for the application of pluripotential theory to complex analytic geometry.<br />
<br />
====Jenny Yeon, 2:00-2:25====<br />
<br />
Title: Application of Slope Field<br />
<br />
Abstract: Overview of historical problems in Dynamical Systems and what CRN(chemical reaction network) group at UW Madison does. In particular, what exactly is the butterfly effect? Why is this simple-to-state problem so hard even if it is only 2D (Hilbert's 16th problem)? What are some modern techniques availble? What do the members of CRN group do? Is the theory of CRN applicable? <br />
<br />
====Rajula Srivastava, 2:30-2:55====<br />
<br />
Title: The World of Wavelets<br />
<br />
Abstract: Why the fourier series might not be the best way to represent functions in all cases, and why wavelets might be a good alternative in some of these.<br />
<br />
====Shengyuan Huang, 3:00-3:25====<br />
<br />
Title: Group objects in various categories<br />
<br />
Abstract: I will introduce categories and talk about group objects in the category of sets and manifolds. The latter leads to the theory of Lie group and Lie algebras. We can then talk about group objects in some other category coming from algebraic geometry and obtain similar results as Lie groups and Lie algebras.<br />
<br />
====Ivan Ongay Valverde, 3:30-3:55====<br />
<br />
Title: Games and Topology<br />
<br />
Abstract: Studying the topology of the real line leads to really interesting questions and facts. One of them is the relation between some kind of infinite games, called topological games, and specific properties of a subsets of reals. In this talk we will study the perfect set game.<br />
<br />
====Sun Woo Park, 4:00-4:25====<br />
<br />
Title: Reconstruction of character tables of Sn<br />
<br />
Abstract: We will discuss how we can relate the columns of the character tables of Sn and the tensor product of irreducible representations over Sn. Using the relation, we will also indicate how we can recover some columns of character tables of Sn. <br />
<br />
====Max Bacharach, 4:30-4:55====<br />
<br />
Title: Clothes, Lice, and Coalescence<br />
<br />
Abstract: A gentle introduction to coalescent theory, motivated by an application which uses lice genetics to estimate when human ancestors first began wearing clothing.<br />
<br />
=== April 3, Yu Feng ===<br />
<br />
Title: Suppression of phase separation by mixing<br />
<br />
Abstract: The Cahn-Hilliard equation is a classical PDE that models phase separation of two components. We add an advection term so that the two components are stirred by a velocity. We show that there exists a class of fluid that can prevent phase separation and enforce the solution converges to its average exponentially.<br />
<br />
=== April 17, Hyun-Jong Kim===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== April 24, Carrie Chen ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
== Fall 2019 ==<br />
<br />
=== September 25, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 2, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 9, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 16, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 23, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 30, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 6, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 13, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 20, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== December 4, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== December 12, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Algebra_and_Algebraic_Geometry_Seminar_Spring_2019&diff=17190Algebra and Algebraic Geometry Seminar Spring 20192019-03-22T14:10:53Z<p>Nagreen: /* Spring 2019 Schedule */</p>
<hr />
<div>The seminar meets on Fridays at 2:25 pm in room B235.<br />
<br />
Here is the schedule for [[Algebra and Algebraic Geometry Seminar Fall 2018 | the previous semester]], for [[Algebra and Algebraic Geometry Seminar Fall 2019 | the next semester]], and for [[Algebra and Algebraic Geometry Seminar | this semester]].<br />
<br />
==Algebra and Algebraic Geometry Mailing List==<br />
*Please join the [https://admin.lists.wisc.edu/index.php?p=11&l=ags AGS Mailing List] to hear about upcoming seminars, lunches, and other algebraic geometry events in the department (it is possible you must be on a math department computer to use this link).<br />
<br />
<br />
== Spring 2019 Schedule ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s) <br />
|-<br />
|January 25<br />
|[http://www.math.utah.edu/~smolkin/ Daniel Smolkin (Utah)]<br />
|Symbolic Powers in Rings of Positive Characteristic<br />
|Daniel<br />
|-<br />
|February 1<br />
|Juliette Bruce<br />
|Asymptotic Syzgies for Products of Projective Spaces<br />
|Local<br />
|-<br />
|February 8 (B135)<br />
|[http://www.mit.edu/~ivogt/ Isabel Vogt (MIT)]<br />
| Low degree points on curves<br />
|Wanlin and Juliette<br />
|-<br />
|February 15<br />
|Pavlo Pylyavskyy (U. Minn)<br />
|Zamolodchikov periodicity and integrability<br />
|Paul Terwilliger<br />
|-<br />
|February 22<br />
|Michael Brown (Wisconsin)<br />
|Chern-Weil theory for matrix factorizations<br />
|Local<br />
|-<br />
|March 1<br />
|[https://math.berkeley.edu/~ceur/ Chris Eur (UC Berkeley)]<br />
|Chow rings of matroids, ring of matroid quotients, and beyond<br />
|Daniel<br />
|-<br />
|March 8<br />
|[http://homepages.math.uic.edu/~kopper/ Jay Kopper (UIC)]<br />
|Stable restrictions of vector bundles on projective varieties<br />
|Daniel<br />
|-<br />
|March 15<br />
|[http://www.math.wisc.edu/~maxim/Sing19program.html Singularities]<br />
|No regular meeting<br />
|Max<br />
|-<br />
|March 22<br />
|No Meeting<br />
|Spring Break<br />
|TBD<br />
|-<br />
|March 29<br />
|<br />
|TBD<br />
|Daniel<br />
|-<br />
|April 5 (at 11:00 in B329)<br />
|[http://www-personal.umich.edu/~ecanton/ Eric Canton (Michigan)]<br />
|TBD<br />
|Michael<br />
|-<br />
|April 5<br />
|[http://www.math.tamu.edu/~ola/ Alexsandra Sobieska (Texas A&amp;M)]<br />
|TBD<br />
|Daniel<br />
|-<br />
|April 12<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|April 19<br />
|[http://www-personal.umich.edu/~grifo/ Elo&iacute;sa Grifo (Michigan)]<br />
|TBD<br />
|TBD<br />
|-<br />
|April 26<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|May 3<br />
|TBD<br />
|TBD<br />
|TBD<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
===Daniel Smolkin===<br />
'''Symbolic Powers in Rings of Positive Characteristic'''<br />
<br />
The n-th power of an ideal is easy to compute, though difficult to describe geometrically. In contrast, symbolic powers of ideals are difficult to compute while having a natural geometric description. In this talk, I will describe how to compare ordinary and symbolic powers of ideals using the techniques of positive-characteristic commutative algebra, especially in toric rings and Hibi rings. This is based on joint work with Javier Carvajal-Rojas, Janet Page, and Kevin Tucker. Graduate students are encouraged to attend!<br />
<br />
===Juliette Bruce===<br />
<br />
'''Title: Asymptotic Syzygies for Products of Projective Spaces'''<br />
<br />
I will discuss results describing the asymptotic syzygies of products of projective space, in the vein of the explicit methods of Ein, Erman, and Lazarsfeld’s non-vanishing results on projective space.<br />
<br />
===Isabel Vogt===<br />
<br />
'''Title: Low degree points on curves'''<br />
<br />
In this talk we will discuss an arithmetic analogue of the gonality of a curve over a number field: the smallest positive integer e such that the points of residue degree bounded by e are infinite. By work of Faltings, Harris--Silverman and Abramovich--Harris, it is well-understood when this invariant is 1, 2, or 3; by work of Debarre--Fahlaoui these criteria do not generalize to e at least 4. We will study this invariant using the auxiliary geometry of a surface containing the curve and devote particular attention to scenarios under which we can guarantee that this invariant is actually equal to the gonality . This is joint work with Geoffrey Smith.<br />
<br />
===Pavlo Pylyavskyy===<br />
<br />
'''Zamolodchikov periodicity and integrability'''<br />
<br />
T-systems are certain discrete dynamical systems associated with quivers. They appear in several different contexts: quantum affine algebras and Yangians, commuting transfer matrices of vertex models, character theory of quantum groups, analytic Bethe ansatz, Wronskian-Casoratian duality in ODE, gauge/string theories, etc. Periodicity of certain T-systems was the main conjecture in the area until it was proven by Keller in 2013 using cluster categories. In this work we completely classify periodic T-systems, which turn out to consist of 5 infinite families and 4 exceptional cases, only one of the infinite families being known previously. We then proceed to classify T-systems that exhibit two forms of integrability: linearization and zero algebraic entropy. All three classifications rely on reduction of the problem to study of commuting Cartan matrices, either of finite or affine types. The finite type classification was obtained by Stembridge in his study of Kazhdan-Lusztig theory for dihedral groups, the other two classifications are new. This is joint work with Pavel Galashin. <br />
<br />
===Michael Brown===<br />
<br />
'''Chern-Weil theory for matrix factorizations'''<br />
<br />
This is joint work with Mark Walker. Classical algebraic Chern-Weil theory provides a formula for the Chern character of a projective module P over a commutative ring in terms of a connection on P. In this talk, I will discuss an analogous formula for the Chern character of a matrix factorization. Along the way, I will provide background on matrix factorizations, and also on classical Chern-Weil theory.<br />
<br />
<br />
===Chris Eur===<br />
'''Chow rings of matroids, ring of matroid quotients, and beyond'''<br />
<br />
We introduce a certain nef generating set for the Chow ring of the wonderful compactification of a hyperplane arrangement complement. This presentation yields a monomial basis of the Chow ring that admits a geometric and combinatorial interpretation with several applications. Geometrically, one can recover Poincare duality, compute the volume polynomial, and identify a portion of a polyhedral boundary of the nef cone. Combinatorially, one can generalize Postnikov's result on volumes of generalized permutohedra, prove Mason's conjecture on log-concavity of independent sets for certain matroids, and define a new valuative invariant of a matroid that measures its closeness to uniform matroids. This is an on-going joint work with Connor Simpson and Spencer Backman.<br />
<br />
===Jay Kopper===<br />
'''Stable restrictions of vector bundles on projective varieties'''<br />
<br />
Stable vector bundles---and more generally, stable sheaves---play a role in the classification of algebraic vector bundles analogous to that of simple groups in group theory. Recent developments in this subject have extended the notion of stability to the entire derived category of sheaves. This broader perspective can be used to study the classical moduli space. In this talk I will discuss these ideas in the context of restriction theorems: situations in which a stable vector bundle remains stable when restricted to a subvariety. I will conclude with some applications to higher-rank Brill-Noether theory. This is joint work with S. Feyzbakhsh.<br />
<br />
===Shamgar Gurevich===<br />
<br />
'''Harmonic Analysis on GLn over finite fields, and Random Walks'''<br />
<br />
There are many formulas that express interesting properties of a group G in terms of sums over its characters. For evaluating or estimating these sums, one of the most salient quantities to understand is the {\it character ratio}: <br />
<br />
$$<br />
trace(\rho(g))/dim(\rho),<br />
$$<br />
<br />
for an irreducible representation $\rho$ of G and an element g of G. For example, Diaconis and Shahshahani stated a formula of this type for analyzing G-biinvariant random walks on G. It turns out that, for classical groups G over finite fields (which provide most examples of finite simple groups), there is a natural invariant of representations that provides strong information on the character ratio. We call this invariant {\it rank}. This talk will discuss the notion of rank for GLn over finite fields, and apply the results to random walks. This is joint work with Roger Howe (Yale and Texas AM).</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Graduate_Student_Guide&diff=17172Graduate Student Guide2019-03-15T18:33:41Z<p>Nagreen: /* Contacts and Other Resources */</p>
<hr />
<div>[[Image:Exams.png|400px|right | Grading Exams in the Lounge]]<br />
<br />
<br />
<br />
<br />
<br />
= Food =<br />
<br />
There are many ethnic and interesting restaurants in Madison – Indonesian, African, Italian, Himalayan, Laotian, Peruvian, Mexican, Bakeries, Brew Pubs, Coffee Joints, you name it -- and everyone has their favorites.<br />
<br />
The biggest resource for finding food (and entertainment!) in Madison is probably the [http://www.thedailypage.com/eats/ Daily Page] (the online version of our local paper, the Isthmus), where you can search local restaurants by name, locality, and cuisine. There, they have reviews, hours, contact info, pricing, etc. Be sure to peruse their [http://www.thedailypage.com/mad-tools/madisons-favorites/favorites.php?category=Restaurants Madison's Favorites] section for some quick tips! Of course [http://www.yelp.com/ yelp] is always useful as well. At one point a couple spent a few years trying to sample every restaurant in Madison and blogged about their journey on the [http://www.madisonatoz.com/ Madison A to Z].<br />
<br />
Here are some general food facts:<br />
<br />
== Campus Food ==<br />
*Food Carts: Open for lunch in Library Mall at the foot of Bascom Hill near Lake & State Street. Very good and very cheap, and out as long as it's not too cold.<br />
<br />
*Badger Market at Ingraham Hall: Very close to Van Vleck, and has acceptable coffee (bring your own cup to save money!) and decent snacks. Try the Badger Bundle lunch special: sandwich, drink, and a side for $1 off your total. Halfway down the hill is the [http://www.union.wisc.edu/crossroadscafe.htm Crossroads Cafe] which has much better coffee and is open later.<br />
<br />
*Memorial Union: The Rathskeller has food and next door is Lakeside cafe with much better food. Summer afternoons on the terrace is an excellent place to hang out in the sunshine with a beer and brat.<br />
<br />
*Union South: Features a pizza place, a pan-Asian restaurant, a sandwich shop, a sports bar (burgers and sandwiches) and an ice cream stand. <br />
<br />
*State Street (past the food carts) is full of restaurants and Coffee shops – there are at least a half dozen coffee roasters in town, and each supplies a different set of shops. In particular for lunch, there are the popular chains, such as Potbelly Sandwich Works, Einstein Bros. Bagels, or Chipotle... or hit the more independent spots such as the Sunroom Cafe or Ian's Pizza.<br />
<br />
*Residence Hall Cafeterias are pretty decent here, but filled with undergraduates! Enter at your own risk!<br />
<br />
== MadTown food ==<br />
<br />
Traditional Madison foods are German varieties such as beer, cheese, and bratwurst. Twice a year Madison hosts [http://www.bratfest.com/ Bratfest], a record breaking event. <br />
UW has [http://babcockhalldairystore.wisc.edu/ Babcock Hall Ice Cream] on campus which creates delicious ice cream available in the Unions. The [http://www.chocolateshoppeicecream.com/ Chocolate Shoppe], [http://www.ilovemichaels.com/ Michael's Frozen Custard] and [http://www.culvers.com/ Culvers] have nice deserts.<br />
Micro breweries in town include the [http://www.greatdanepub.com/ Great Dane], [http://www.capital-brewery.com/ Captial Brewery] and [http://www.aleasylum.com/ Ale Asylum]. Nearby there is the famous [http://www.newglarusbrewing.com/ New Glarus Brewing Co] which only sells beer in Wisconsin. You can join a free beer tour or walk through the brewery on a self guided tourn.<br />
<br />
In early September (Labor Day weekend), check out [http://www.tasteofmadison.com/ Taste of Madison] to see many restaurants all in one place at one time.<br />
<br />
Try a good ol' midwestern Fish Fry on Friday night – All you can eat fried fish generally served with a bran muffin, clam chowder, or coleslaw. Most Brew Pubs and some churches have them, and the [http://www.avenuebarmadison.com/ Avenue Club] runs a Friday night Fish Fry.<br />
<br />
== Farm fresh food ==<br />
<br />
The [http://madisonfarmersmarket.com/ Dane County Farmer's Market] is amazing and HUGE. The big one is open every Saturday morning, and is located on the capitol square for most of the year. In addition to the ludicrous amount of fresh produce, there are also bakery stands, coffee, and fresh juice carts for quick breakfasts.<br />
<br />
There are also a few smaller [http://www.reapfoodgroup.org/atlas/farmers_markets.htm#danecounty markets] scattered around town, almost every day of the week:<br />
<br />
*Sunday: 8:30am to 12:30pm in front of Pierce's Northside Market<br />
*Monday: (none)<br />
*Tuesday: 4pm to 7pm on Ingersol at Williamson, 2pm to 6pm at 1602 S. Park St,<br />
*Wednesday: 8am to 2pm on MLKJr Blvd, 7am to 1pm at the Hilldale Shopping Center,<br />
*Thursday: Thursdays, 2pm to 6pm at the Villager Mall on Park St., 2pm to 6pm in the McFarland Centre, 7:30am to 1:30pm in the Greenway Station shopping center,<br />
*Friday: (none)<br />
*Saturday: 6am to 2pm on the Capitol square, 7am to 1pm at the Hilldale Shopping Center, 9am to 2pm at 1602 S. Park St, 7am to 1pm at Sheboygan Ave. and Segoe Rd., and 8:30am to 11am in Watertower Park.<br />
<br />
During the summer and fall, there are many [http://www.reapfoodgroup.org/atlas/index.htm local farms] where you can [http://www.reapfoodgroup.org/atlas/farms/u_pick.htm pick] your own strawberries, raspberries, apples, or pumpkins when they are in season.<br />
<br />
If you're in town for the summer, you might consider signing up for a [http://www.macsac.org/ Community Supported Agriculture] food box. CSA is a way to support a local farm by paying an annual fee in the winter or spring which buys you a share of the season's harvest. Once harvesting begins, members pick-up a weekly box of fresh foods which may include produce, fruits, cheeses, eggs, meats, poultry, flowers, herbs or preserves. The typical CSA season in Wisconsin runs from the end of May through mid-October. You do have to pay the lump sum up-front, and some weeks you'll find yourself with five pounds of chard... but for most of the summer you'll have your produce needs met, and you can feel good about supporting small local farms. Better yet, most of the university's insurance providers offer [http://www.macsac.org/rebates.html rebates] for signing up for a CSA -- somewhere between $50-$300, depending on the plan and how many people you're sharing with (for example, if two people on GHC share a box, they might pay $450 for the box for a box lasting 25 weeks, but they they could each get $100 back, making that $5/week per person). If you're interested, remember to sign up early -- most programs are full by May.<br />
<br />
= Grocery Stores =<br />
<br />
== Generic Groceries ==<br />
<br />
*[http://www.capcentremarket.com/ Capitol Centre Market]: Given their small size, they have an excellent selection of groceries. They tend to be a bit pricey. In addition, they deliver groceries.<br />
<br />
*[http://www.freshmadisonmarket.com/ Fresh Madison Market]: A reasonably large general grocery store, not too expensive. Has a large selection of "typical college items" (lots of frozen foods). Located on University, not too far from Van Vleck. They also deliver groceries.<br />
<br />
*[http://www.copps.com/ Copps]: Your standard grocery store with multiple locations.<br />
<br />
*[http://www.costco.com/Warehouse/LocationTemplate.aspx?Warehouse=1020&lang=en-US Costco]: Your friendly big-box bulk store. They treat their employees incredibly well. Good buys on computers, 2 lbs of sockeye salmon or button down oxford cloth long sleeved shirts. You'll need a membership or go there with someone who has a membership. You can also get a free trial membership if you simply ask.<br />
<br />
*[https://www.hy-vee.com/ Hy-Vee]<br />
<br />
*[http://www.walgreens.com/ Walgreens]: Pharmacy/Grocery store. There is a Walgreens on the corner of Lake & State Street near Van Vleck, on the Capitol Square, at East Campus Mall, and in University square.<br />
<br />
*[http://www.wholefoods.com/stores/madison/ Whole Foods]: Kinda pricey, but good bread, specialty stuff, and produce through the winter.<br />
<br />
*[http://www.woodmans-food.com/ Woodman's]: two locations -- [http://www.google.com/maps?f=q&hl=en&q=725+S+Gammon+Rd+Madison,+WI&ie=UTF8&om=1&ll=43.055217,-89.50304&spn=0.05381,0.171661 East] and [http://www.google.com/maps?f=q&hl=en&q=3817+Milwaukee+St,+Madison,+WI&ie=UTF8&ll=43.103615,-89.319363&spn=0.053768,0.171661&om=1 West]. If you have a car and the time, go here. Very large, very cheap, but time consuming. They don't take credit cards, so bring a debit card or check book. Check out the liquor store for a large selection (you can buy all types of alcohol in grocery stores in Wisconsin... but not after 9pm).<br />
<br />
*[http://www.traderjoes.com/ Trader Joe's]: Located at 1810 Monroe St. They have good prices for select specialty food items such as wine, cheese and fancy snacks. Their basic foodstuffs tend to be a bit pricey.<br />
<br />
*The Jenifer Street Market located on 2038 Jenifer Street is a nice little grocery store if you happen to live in the area.<br />
<br />
== Co-ops ==<br />
Co-ops are a good source of local organic food. If you are a member they provide discounts, but you can also shop there at your own will.<br />
<br />
*[http://www.regentmarketcoop.org/ Regent Market Cooperative], 2136 Regent St. 233-4329.<br />
<br />
*[http://www.willystreet.coop/ Willy Street Co-op] The largest and most active co-op in the Madison area. They have been able to survive the decline in co-ops over the years. They offer a large selection of bulk foods and spices at an excellent price. For a quick bite, they have an excellent deli, salad bar, and in-store coffee shop. 1221 Williamson St. 251-6776. They recently opened a second store in Middleton located at 6825 University Ave. Both locations deliver groceries.<br />
<br />
== Specialty Foods ==<br />
<br />
*[http://www.aldifoods.com/ Aldi Foods]: Very cheap! Little selection.<br />
<br />
*[http://www.google.com/maps?hl=en&client=firefox-a&rls=org.mozilla:en-US:official&hs=keJ&q=asian+midway+foods&near=Madison,+WI&radius=0.0&latlng=43073056,-89401111,304616636444102595&sa=X&oi=local&ct=authority Asian Midway Market]: The go-to market for anything Thai, Chinese or South-East Asian, this centrally-located store comes highly recommended. In particular, they offer a great selection of specialized produce. 301 South Park Street; 255-5864<br />
<br />
*[http://www.brennansmarket.com/ Brennan's Market]: Great for Produce, Meats, Cheese, Micro brews and Wines. You won't find things like Flour and Saran Wrap here, but definitely worth the trip.<br />
<br />
*[http://www.reapfoodgroup.org/atlas/ Farm Fresh Atlas]: Not a grocery store, but a good resource for where you can buy local foods and a list of farms in the areas.<br />
<br />
*[http://www.madseafood.com/ The Seafood Center]: The name says it all. Great fresh fish and live lobsters.<br />
<br />
*[http://frabonisdeli.com/ Fraboni's]: An awesome Italian grocery store and deli. They have very good [http://frabonisdeli.com/oils olive oils], [http://frabonisdeli.com/pastas pastas], and make-your-own pizza fixings.<br />
<br />
*[http://www.insiderpages.com/b/3723579948/garden-asian-market-middleton Garden Asian Market]: A full service Asian food market specializing in fresh meat, produce, and seafood. Mostly Chinese-leaning, they do a good job of providing a wide variety of items within their niche. It may be far out, but it's worth the trip in its pleasantness and selection.<br />
<br />
*[http://maps.google.com/maps?client=safari&oe=UTF-8&ie=UTF8&q=india+house+grocery+store,+madison,+wi&fb=1&gl=us&hq=india+house+grocery+store,&hnear=Madison,+WI&cid=0,0,8495347478199843118&ll=43.050466,-89.503019&spn=0.007871,0.019183&t=h&z=16&iwloc=A India House]: Really well done Indian grocery store. Good place to buy Kari leaves.<br />
<br />
*[http://www.google.com/maps?hl=en&client=firefox-a&rls=org.mozilla:en-US:official&hs=TMe&q=lee%27s+oriental&near=Madison,+WI&radius=0.0&latlng=43073056,-89401111,92533124768468793&sa=X&oi=local&ct=authority Lee's Oriental]: Next to Penzey's spices. 3240 University Ave; 231-1593<br />
<br />
*[http://www.google.com/maps?hl=en&client=firefox-a&rls=org.mozilla:en-US:official&hs=2Me&q=oriental+shop&near=Madison,+WI&radius=0.0&latlng=43073056,-89401111,13628497956998458364&sa=X&oi=local&ct=authority Oriental Shop]: They carry mostly dry-goods, and tend to lean toward stocking more Korean items. 1206 South Park Street; 255-0326<br />
<br />
= Housing =<br />
<br />
Haven't found a place yet? Already hate your apartment?<br />
<br />
* [https://campusareahousing.wisc.edu/ UW Off-Campus Housing Search]: Probably the best search site for students.<br />
<br />
* Again, [http://madison.craigslist.org/ Craig's List] is a good resourse. Also a good place to look for roommates outside of the department.<br />
<br />
* [https://www.housing.wisc.edu/apartments/ University Apartments]: On campus graduate housing, particularly popular with married couples (especially with children). Singles are also welcome. Many of them are on the bus route #80, a free route which runs from the apartments through campus every ten minutes throughout the day.<br />
<br />
== Location, Location, Location ==<br />
<br />
If you would like to keep your commute down, there are many places near campus. Many graduate students prefer to live close enough to Van Vleck to be within walking distance, yet far enough away to stay away from partying undergraduate students.<br />
<br />
Many graduate students live in the Vilas neighborhood, which is located South of Regent Street and between Park and Monroe. East of the Capitol building, we also have the Willy St. neighborhood (between Williamson and Rutledge streets, between Paterson and Thornton) and the other side of the Isthmus, between Mifflin and Lake Mendota. The university offers on campus housing at Eagle Heights with regular buses. Many students also live near Sheboygan and University Avenues (not on this map), and there are regular buses that run up University Avenue that will drop you off right in front of Van Vleck. The large apartment complexes in that area include the Normandy, Chapel Hill, Carolina, Monticello, Hilldale Towers, Park Towers, and Sovereign Apartments which are cheaper to live in than spots on the square.<br />
<br />
Because there is no parking on campus, you will need to plan on living within walking distance of a bus route or campus itself. You will receive a free bus pass for the [http://www.cityofmadison.com/metro/ Madison Metro] system, which is very reliable. Check out the “plan your trip” link to find bus routes near you.<br />
<br />
Here is an approximate map of many areas where you will be likely to find housing: <br />
[[Image:gradhousingmap.jpg|400px| center | Housing Map]]<br />
<br />
Basically, shoot for zones 2-6, the North parts of zones 7 and 8, or the far East part of zone 10 on [http://housing.civc.wisc.edu/map_all.asp this map] (the map from the UW Off-Campus Housing Search).<br />
<br />
== Stuff your landlord might not tell you ==<br />
<br />
*Utilities:<br />
Lots of apartments have water, sewage, heat, and and sometimes electricity included in rent. For those which don't, be sure to find out what to expect through the [http://mge.com/myaccount/averagecost/ Madison Gas and Electric] web page. Just tell them the address of the place you're looking at, and they'll tell you what the highs, lows, and averages have been over the last year.<br />
<br />
*Property information:<br />
The [http://www.cityofmadison.com/assessor/property.html City Assessor] has all of the basic information about Madison properties on file, including how many units are on the property, how much square footage there is, if there's AC in the building, what school district it's in, who your alderperson would be, and what else is on the property (e.g. garages). They'll even tell you how much the property is worth, and how much your landlord is paying in property taxes. Sometimes the square footage isn't broken up--for example, maybe there are two units on the first floor, but they'll only tell you that there are 1,700 sq ft on that floor, not how it's split up between the two units. It can be a useful site for rounding out your knowledge of places you're considering renting.<br />
<br />
*Tenants rights:<br />
The [http://www.tenantresourcecenter.org/ Tenant resource center] is a small non-profit membership organization which provides housing counseling, mediation services and office assistance. Their website includes tips for new renters, generic rental forms, and advice for what to do if your landlord just won't get back to you about repairs, returning deposits, etc.<br />
There is also the Student tenant union, which is specifically targeted to UW students.<br />
<br />
== Rental Companies ==<br />
Many properties in Madison are run by rental companies -- some large, some small -- some good, some not-so-good. Larger companies tend to have lower prices, and more people working toward maintaining rentals. However, they may have less of an investment in taking care of each individual property or screening their tenants. Some people feel better renting from small companies, or landlords with only one or two houses. You may get more individual attention and care. Individuals have more investment in protecting each property, and renting to good tenants, so the properties tend to be in more reliable condition. However, with fewer properties comes fewer resources and higher prices.<br />
<br />
Whatever choice you make, be sure to have a conversation with your potential landlords about their polices, especially if you aren't going to be able to see things in person. It may also be good to Google the company or person to see if other people have had something good or bad to say about them or their properties. In particular, [http://www.apartmentratings.com/rate/WI-Madison.html ApartmentRatings.com] has a few of the apartment complexes around town listed.<br />
<br />
Here are some general impressions/very subjective opinions that some of us have gotten from/about a few of the larger local companies:<br />
<br />
*AB Holdings: In particular, they have a couple small apartment buildings on Vilas that are particularly ideal for two people. Quite a few people from the department have rented these units and have been pretty happy.<br />
<br />
*[http://apexrents.com/ Apex Property Management]: Great company. Well-maintained properties, with many of the more recently remodeled rentals being very nice. Their representatives are helpful and responsible, and their tenants seem to be generally satisfied.<br />
<br />
*[http://www.centralmadison.com/ The Christensen Company]: Not terribly up-to-date apartments, but worth taking a look at.<br />
<br />
*[http://www.madisonproperty.com/ Madison Property Management]: Lots of choices, but notoriously junky properties. They tend to cater mostly to undergraduates, and their rentals show it. We wouldn't recommend renting from this company unless you visit first.<br />
<br />
*[http://www.mcbridecompanies.com/ The McBride Companies]: Nice properties, good management. Really good website if you turn the sound off.<br />
<br />
*[http://www.tallardapartments.com/ Tallard Apartments]: Nice properties with very friendly and responsive staff. Their rentals tend to go early in the season.<br />
<br />
*[http://www.wimci.com/ Wisconsin Management Company]: Nice enough properties, but kind of flakey representation. Make sure to ask lots of questions.<br />
<br />
*The Wright Company (or Norris Ct. Apartments): Very nice older buildings, but kind of sketchy management. Nothing is going to be in stellar shape, but they do tend to rent more to graduates and professionals, so they aren't beat up either. If you do rent from them, don't expect them to be very responsive, and be sure to be especially careful about protecting your security deposit by taking photos and keeping a record of your move-in report.<br />
<br />
= Transportation =<br />
<br />
*[http://www.cityofmadison.com/get-around Get Around City of Madison]<br />
<br />
*[http://www.cityofmadison.com/bikeMadison/ Bike Madison] City of Madison Bike Map, Plan Your Ride, and more.<br />
<br />
*[https://madison.bcycle.com/ Madison B-cycle] City's bike sharing system<br />
<br />
*[https://kb.wisc.edu/vip/page.php?id=10954 Bicycles to Rent or Buy] <br />
<br />
*[http://www.cityofmadison.com/metro/ Madison Metro] Madison bus service. Students get a yearly bus pass as part of their segregated fees. Bus routes and schedules and Google Transit Planner.<br />
<br />
*[https://www.zipcar.com/universities/university-of-wisconsin-madison/ ZipCar] is a Madison-based carsharing company that rents cars by the hour to individuals and organizations. Members share access to a fleet of gas efficient vehicles located in reserved parking spaces throughout the city.<br />
<br />
= Furniture =<br />
<br />
*[http://www.svdpmadison.org/ St. Vincent DePaul's]: Like Goodwill. Has cheap dressers, desks, chairs, and general household stuff. Will deliver for a small charge. This is also a great place to donate any furniture or other items that you no longer want – they will pick up the items from your apartment. There is also a Goodwill in town, but they won't have nearly the same volume of furniture.<br />
<br />
*[http://madison.craigslist.org/ Craig's List]: a free online classifieds site. Great not only for furniture, but also pet resources and last minute apartment hunting.<br />
<br />
*Eagle Heights Apartment Bulletin Boards: Lots of cheap stuff from people graduating, many of whom are moving overseas. You can even find cars. You can try posting your own wanted posters on the boards. You can find these boards at the bus stops for the (free) bus 80 route.<br />
<br />
*[http://groups.yahoo.com/group/madisonfreecycle/ Freecycle]: A community "give stuff away for free" website with a Madison branch.<br />
<br />
*Hippie Christmas ("Move-Out Day"): For some reason or another, the evening of August 14th is when the bulk of leases near campus turn over. This is a fantastic day to pick up free furniture from the street. If you already have a rental van, why not help municipal waste by pickup up a bookshelf for them?<br />
<br />
*The Todd Drive Area: Just west of park street on the beltline. Home Concepts for cheap but nice looking furniture, and Steinhafel's for furniture and mattresses.<br />
<br />
*[http://www.bussvc.wisc.edu/swap/swap.html SWAP]. The UW's surplus supply store.<br />
<br />
*Goodwill, multiple locations all over the city.<br />
<br />
= International Student Resources =<br />
Here are a few links specifically for international students. There are international grocery stores listed in the [http://www.math.wisc.edu/wiki/index.php/Graduate_Student_Guide#Specialty_Foods groceries] section.<br />
<br />
*[http://www.uwcssa.net/ Chinese Student & Scholar Association]: A connection to the university's Chinese community for incoming students. They offer rides from the airport, list general information about madison, and organize get-tegethers/Chinese celebrations. International Conversation & Coffee Hour: meet other international students and americans interested in other cultures. Every Friday, 12-2pm, Cooper Hearth Room 160, Union South.<br />
<br />
*[http://iss.wisc.edu/ International Student Services]: the UW's International Student Services<br />
<br />
*[http://india.rso.wisc.edu/ IGSA]: Indian Graduate Student Association.<br />
<br />
*[http://groups.yahoo.com/group/MADindians/ MadIndians]: a Yahoo online group for students from India in Madison. Good place to search for an Indian roommate.<br />
<br />
*[http://mtsa.rso.wisc.edu/ Madison Association of Turkish Students]: Very helpful for incoming Turkish students. It includes information about how best to get to Madison from Turkey, information about housing, and how to reach other Turkish students in Madison.<br />
<br />
= Newspapers =<br />
*[http://www.madison.com/captimes/ The Capitol Times]: Standard local newspaper, printed daily in the afternoon. Of the two standards, this one tends to be the more liberal.<br />
<br />
*[http://www.thedailypage.com/ The Isthmus]: Free independent Madison newspaper. Has a liberal voice and is full of entertainment, including family fun, outdoor attractions, and fine arts. Also puts out the Annual Manual - the yearly guide to all things Madison.<br />
<br />
*[http://www.theonion.com/ The Onion]: While hilarious, this paper is only really good if you're already in on the joke. We get free paper copies in Madison. There is a stack near the elevators in VV. The local edition has local entertainment listings.<br />
<br />
*[http://www.madison.com/wsj/ Wisconsin State Journal]: Standard local newspaper, printed daily in the mornings. Of the two standards, this one tends to be the more conservative.<br />
<br />
= Religious Groups =<br />
*[http://www.atheistalliance.org/aaw/ Atheists and Agnostics of Wisconsin]<br />
<br />
*[http://www.blackhawkchurch.org/ Blackhawk Evangelical Free Church]: Near Sheboygan Ave. at 110 N Whitney Way. A huge church, but with opportunities to get involved and meet people. It has services in the sanctuary, with a mixture of traditional and semi-modern worship, and also "video cafe" services with more lively, modern worship. Very good teaching.<br />
<br />
*[http://www.cpcmadison.com/ Christ Presbyterian Church]. Just east of James Madison Park on Gorham. Has a great choir and organist!<br />
<br />
*[http://www.fusmadison.org/ The First Unitarian Society of Madison]. "A liberal religious community that encourages individual spiritual growth and community action in an atmosphere of warmth, freedom of belief, intellectual curiosity, and open dialogue." Looking for something new? They're open to all types. Also, they are housed in a historic Frank Lloyd Wright building.<br />
<br />
*[http://www.folmadison.org/ Fountain of Life]: 1717 Fish Hatchery Rd. A multi-ethnic church with a lot of eclectic music styles, including a lot of Gospel music<br />
<br />
*[http://genevacc.org/ The Geneva Campus Church]: On Campus Reformed church. They describe themselves as "a university church for the whole family"<br />
<br />
*[http://www.uwhillel.org/ Hillel]: UW-Madison's on-campus center for everything Jewish: religious, cultural, political, traditional, and alternative. Located on Langdon Street, it serves both the school population and, to a far lesser extent, the entire city.<br />
<br />
*[http://islamiccentermadison.org/ Islamic Center of Madison]: Has a masjid inside. 21 N Orchard St, (608)251-9851<br />
<br />
*[http://ivgcf.rso.wisc.edu/ InterVarsity Grad Christian Fellowship]: It's a welcoming place for Christians and non-Christians alike. (You might even find your future husband/wife there) They also have a website with info about local churches. There is a new student picnic at the beginning of the fall semester.<br />
<br />
*Latter Day Saints: There are a number of Church of Jesus Christ of Latter-day Saints wards in the Madison area. The Madison First Ward covers areas closest to campus and meets at 4505 Regent Street, two blocks south of Hilldale Mall, at 9am. The University Ward serves single adults and meets at 1711 University Avenue at 10 am. The Madison Third Ward serves areas close to campus and meets at 701 Bear Claw Way on Madison's far west side at 11 am. Visitors and the curious are always welcome.<br />
<br />
*[http://www.lccmadison.com/ Lutheran Campus Center]: A fairly young, enthusiastic, and liberal-minded congragation, found right on campus.<br />
<br />
*[http://madcitychurch.org/ Mad City Church]: A non-denominational, casual christian fellowship. Services are held in the LaFollette High School located on Madison's east side - very near the corner of Pflaum Rd. and Monona Dr. Office at 2713 E. Washington Ave.<br />
<br />
*[http://www.muuyacm.org/ Madison UU Young Adult and Campus Ministry (MUUYACM)]. One of the largest and most active Unitarian Universalist young adult groups in the U.S., they are open to young adults (ages 18-35) of all denominations. In addition to worships, they organize social-justice-oriented activities, and are an active member of the Wisconsin Network for Peace and Justice.<br />
<br />
*[http://www.uwcatholic.org/ St. Paul's University Catholic Center]: On campus in Library Mall near Lake & State. Has a lively Catholic grad student group called Mustard Seed with Bible studies, Thursday night speakers, retreats, service projects, and large quantities of food and euchre.<br />
<br />
*[http://www.unityofmadison.org/ Unity of Madison]: (from their site) "Unity of Madison is a heart-centered Spiritual Community focused on Truth Seeking and Spiritual Growth through the Christ Consciousness of Acceptance, Love, Peace and Joy. Our purpose is to inspire, nuture, and empower all people in their spiritual growth. We provide creative worship, joyful gathering and educational programs as we teach and live Jesus' message that 'the kingdom of God is within you.'"<br />
<br />
*[http://www.isthmuszencommunity.org/ Zen Buddhism]: A local zen buddhist center is located next to Willy st co-op. New comers are especially welcome.<br />
<br />
= Arts and Entertainment =<br />
<br />
Madison is a medium sized city with a not so medium sized arts and entertainment scene. There are cultural events on campus<br />
and at the [http://www.overturcenter.com Overture Center]; sporting events; art, science, natural history, and history museums; parks, the<br />
[http://www.uwarboretum.org arboretum], and [http://www.olbrich.org botanical gardens]; a free [http://www.vilaszoo.org zoo]; hiking, biking, and cross-country skiing; a [http://www.madfarmmkt.com Farmer’s Market] on the<br />
Capital Square every Saturday morning from April-October; and lots of other things. The [http://www.thedailypage.com Isthmus], is the local free newspaper which posts many current events.<br />
The Isthmus can be found in many stores, in campus buildings, and on street corners.<br />
<br />
== Athletic Activities ==<br />
* [http://www.recsports.wisc.edu/ Rec Sports] runs the gyms on campus. There are three such on-campus gyms -- The SERF, the Nat, and the Shell, which are free with student ID. For $25/semester, you can attend any of their Group Fitness classes, which cover everything from aerobics and weights to yoga and dance. Also, both the SERF and Nat have indoor pools.<br />
<br />
*The University of Wisconsin has a long standing heritage of being proud of their [http://www.uwbadgers.com/ athletic events]. Men's basketball, football and ice-hockey receive the most attention and as a student, you can obtain season tickets for all of these events.<br />
<br />
* [http://www.mufa.org MUFA] is an ultimate frisbee league that has summer as well as spring and fall seasons. This is a really fun way to stay active and meet some new Madison friends! You don't need to form a team-- just see the link for info about how to join a team looking for more players. Note: the games are often played all over the city and burbs, and are not necessarily reachable by bus. You'll need a car, or a teammate with a car. Also see the link for info about local pick-up games.<br />
<br />
== Dancing ==<br />
<br />
*Ballroom: [http://www.uwmbda.org/ UWMBDA] is the big ballroom dance group here. They have dances with lessons every week on Friday or Saturday and a practice group every Thursday.<br />
<br />
*[http://sprott.physics.wisc.edu/dances.htm Contra Dance]: Meetings every Tuesday.<br />
<br />
*International Folk club: meets biweekly Library Mall, Wed/Sun 7:30PM-late.<br />
<br />
*Swing: [http://www.uwswing.com/ Jumptown Swing] is UW's swing club. They host (mostly) weekly dances at Union South, and provide lessons for a nominal fee. See their site for scheduling and links to other swing orgonizations. Also, on Wednesdays, there's dancing at the [http://www.thebrinklounge.com/ Brink Lounge] from 8-11.<br />
<br />
*Salsa: Venues include [http://www.cardinalbar.com/ Cardinal Bar] on Thursdays, [http://www.thedailypage.com/theguide/details.php?event=176610 Frida's] on Friday nights. Don't know how to Salsa? There are lessons before dances at Cardinal, and instruction is offered through the Union's minicourses.<br />
<br />
*Tango: the [http://www.madisontango.org/ Madison Tango Society] provides lessons and dances for Argentine Tango. Their site has a good list or other events in and around Madison.<br />
<br />
== Libraries ==<br />
In addition to the many [http://www.library.wisc.edu/ Libraries of UW], the [http://www.madisonpubliclibrary.org/ Madison Public Library] is a great place for books, movies, and music.<br />
<br />
== Movies ==<br />
The Daily Page has a [http://www.thedailypage.com/movies/listing.php listing] of movie times for most of the theaters around town (both big and small):<br />
<br />
*[http://marcustheatres.com/Theatre/TheatreDetail/140/ Eastgate Cinema], [http://marcustheatres.com/Theatre/TheatreDetail/141/ Point Cinema] and [https://www.amctheatres.com/movie-theatres/amc-star-fitchburg-18 AMC (Star) Cinema] are the three larger movie theaters in town.<br />
<br />
*[http://www.silvercinemasinc.com/scshowtimes.aspx Market Square] shows second runs at a good discount. <br />
<br />
*The [http://www.orpheumtheatre.net/ Orpheum] is an old cinema within site of the capitol on State street. They tend to show less mainstream movies.<br />
<br />
*[http://www.sundancecinemas.com/madison.html Sundance 608] shows independent film as well as blockbuster movies. They have a rooftop cafe that's open during the summer months, 2 bars (you can take a drink into your movie), and a restaurant!<br />
<br />
For on-campus movies:<br />
*The Wisconsin Union Directorate runs on campus screening of films. Their film site can be found [http://www.union.wisc.edu/WUD/film.aspx here.]<br />
<br />
*The UW film department hosts free screenings of a wide array of films based on a given theme for that semester through their [http://cinema.wisc.edu/ cinematheque.] Their department has many contacts with other film institutes and are able show rare original 35mm films that you can't see anywhere else.<br />
<br />
*In late March/early April, go check out some of the many many films showing at the [http://www.wifilmfest.org/ Wisconsin Film Festival.] Sites all over town take part in hosting the showing of these films.<br />
<br />
Madison also has a number of independent video stores:<br />
<br />
*[http://www.fourstarvideoheaven.com/ Four Star Video Heaven] has been voted as a Madison Favorite for a number of years. See their site to browse their collection online.<br />
<br />
== Music ==<br />
Whether you're looking to play music, or just go watch free or (in)expensive concerts, there are many options in Madison.<br />
<br />
*Our very own [http://music.wisc.edu/ Music Department] hosts many music events. Their website has a calendar listing current music events including faculty concerts and student recitals.<br />
<br />
*At Memorial Union, there are events hosted by the [https://union.wisc.edu/get-involved/wud/music/ Wisconsin Union Directorate Music Committee] and the [https://union.wisc.edu/events-and-activities/event-calendar/event/behind-the-beat-jazz-series/2015-11-06 Behind the Beat Jazz Series].<br />
<br />
*[http://www.madisonsymphony.org/ The Madison Symphony Orchestra] (MSO) is the professional symphony based here in Madison. With your student ID, you can get student rush tickets for as little as $10 per person.<br />
<br />
*[http://www.wcoconcerts.org/ The Wisconsin Chamber Orchestra] is Madison's professional chamber orchestra. Each summer, their widely popular [http://www.wcoconcerts.org/new/cos/concertsonthesquare.php concerts on the square] draw many people from all over the place for a free outdoor concert.<br />
<br />
*[http://madisoncommunityorchestra.org/ The Madison Community Orchestra] (MCO) is an informal group run by Madison Area Technical College that meets once a week. There are four free concerts a year and no auditions to play with the group.<br />
<br />
*[http://www.middletoncommunityorchestra.org/ The Middleton Community Orchestra] is a second newly formed community orchestra run by community musicians. Their concerts are extremely affordable, and they may run auditions.<br />
<br />
*[http://www.madisonopera.org/ The Madison Opera] produces three operas annually in addition to Opera in the Park.<br />
<br />
*Outdoor concerts are listed at [http://host.madison.com/travel/local/celebrate-summer-with-madison-area-outdoor-concerts/article_e8b79ce9-34b5-5b82-abda-5c1d00939c36.html madison.com].<br />
<br />
*Other events include [http://visitdowntownmadison.com/events/index.php?category_id=5392 Lunchtime Live], [http://www.wil-mar.org/lafete/ La Fete de Marquette], [https://artsinstitute.wisc.edu/memf/ Madison Early Music Festival], [http://sugarmaplefest.org/ Sugar Maple Traditional Music Festival], and [http://summerfest.com/ Summerfest].<br />
<br />
== Outdoor Activites ==<br />
Madison is a very bicycle friendly town, and there are many parks either in town or within a short drive. Here are some suggestions about outdoor activities to engage in:<br />
<br />
*Take a nice long walk along one of the many paths around [http://lakeshorepreserve.wisc.edu/imap/LakeshoreNaturePreserve.html Picnic Point]... bike the path from Memorial Union out to the tip, or bus/drive out to the base of picnic point and wander the foot trails in the area.<br />
<br />
*Head towards Monona Terrace on Lake Monona, and take one of the paths that wraps around the lake (great bike ride!).<br />
<br />
*You can also go walking and/or biking around the [http://uwarboretum.org/ Arboretum] south of campus and tour their gardens, or head to the free [http://www.vilaszoo.org/ Vilas Zoo]. Lake Wingra is essentially totally surrounded by wooded areas including Henry Vilas Park, the UW-arboretum and Edgewood college. You can rent canoes at Knickerbocker for fairly cheap and relax on Lake Wingra.<br />
<br />
*Community Gardens: There are a number of community gardens run by the [http://www.cacscw.org/gardens/ Community Action Coalition]. Nominally, you can sign up for a plot for a small fee, and learn how to garden if you don't already know, or go to town if you already do. The [http://www.eagleheightsgardens.org/ Eagle Heights Community Garden] is open to both residents and non-residents alike. All of the gardens are fun to look at if you haven't ever seen one.<br />
<br />
*[http://www.olbrich.org/ The Olbrich Botanical Gardens] are located east of lake Monona. Stroll through 16 acres of outdoor display gardens including their award-winning Rose Garden and Thai Pavilion and Garden, or enjoy the year-round tropical Conservatory, a glass pyramid filled with exotic plants, bright flowers, a rushing waterfall, fragrant orchids and free-flying birds.. Outdoor gardens are open daily and free to the public, while entrance to the conservatory is $1 per person.<br />
<br />
*Catch a festival; Madison is home to a number of festivals -- big festivals, small festivals, arts festivals, music festivals, film festivals, beer festivals -- we've got all kinds.<br />
<br />
The Winter opens itself up to new activities such as cross country skiing, ice fishing, snow shoeing and other options. The hoofers club runs ice boats on the lake.<br />
<br />
*The city of Madison parks open up outdoor [http://www.ci.madison.wi.us/parks/winterAct2.html ice skating] at Tenney, Vilas, and Elver parks. No skates? No worries. They will rent skates to you there ($6.00 for the first hour, $2/hr after that).<br />
<br />
*There is also [http://www.ci.madison.wi.us/parks/winterAct4.html cross-country skiing] at a number of Dane county parks, with passes starting at $5/day. No skills? Check out lessons at the [http://www.madnorski.org/page/ Madison Nordic Ski Club] or, again, [http://sns.hoofers.org/ Hoofers] has lots to offer in that area.<br />
<br />
== Student Clubs ==<br />
The University of Wisconsin, being a rather large institution, has got so much stuff going on for all of us student-types. Here are some ways people around the department have been taking advantage:<br />
<br />
* [http://www.union.wisc.edu/craftshop/ Craftshop]: Located upstairs in the Memorial Union, they are "here to satisfy your creative urges in a variety of craft media." Their facilities include a darkroom, a woodshop, a ceramics studio, metal working tools, etc. Friday afternoons, they open their studios to all union members (that means you!) for free!<br />
<br />
* [http://www.hoofers.org/ Hoofers]: Student outdoor recreation club. The Outing and Sailing clubs in particular have lots of graduate students.<br />
<br />
* [http://india.rso.wisc.edu/ IGSA]: Indian Graduate Student Association.<br />
<br />
* [http://www.grad.wisc.edu/education/gsc/index.html GSC]: Graduate Student Collaborative Organization<br />
<br />
* [http://cfli.wisc.edu/student_organizations.htm Student Organizations]: at UW Madison (this is a directory of all registered student organizations at the university; you can search by topic or name)<br />
<br />
== The Student Unions ==<br />
The Memorial Union is located on the lakefront, on Park and Langdon. Be sure to check out the Terrace while the weather is still good -- it's a great place to go to get out of the office, grab something to snack on, and study out in the sun. You'll find the Daily Scoop (yummy ice cream!) and Der Rathskeller (beer and deep-fried goodness). You'll also find all sorts of stuff to keep you busy, like the [http://www.union.wisc.edu/craftshop/ Craftshop], the Union Theater, the Hoofers' headquarters, and a wide array of Mini Courses with which to expand your horizons.<br />
<br />
Also useful: the travel services center and STA Travel will get you good deals on trips (including bus tickets to O'Hare, Midway, and Milwaukee airports), and the theater's box office will get you good deals on shows (theater, music, etc) all around town. In addition, the Union has always got other special events going on to keep all of us entertained -- see their complete [http://www.union.wisc.edu/activities/ list of activities].<br />
<br />
The Union South was recently completely renovated and also has many activities available. They have a climbing wall, a bowling alley, pool tables, a beer garden, a wine tasting room, a ballroom, a movie theater and many other things.<br />
<br />
= Van Vleck Miscellany =<br />
Here's a bit more info about the happenings in and around the Math Dept.<br />
<br />
== Getting money ==<br />
*Paychecks: The first paycheck of the year arrives in October, though you may request an advance on about 30% of your first paycheck when you arrive. If you are not working over the summer, the last will come in June, so be sure to plan for the three month gap.<br />
<br />
*Fees: You will be charged for segregated fees in both semesters, and are not covered in your tuition. The amount depends on your credit load and status, but will be about $500 for most people and due about the time of your first paycheck. If you are on fellowship, this will be taken care of for you, and shouldn't appear on your bill.<br />
<br />
*TA union: The teaching assistants of Wisconsin are unionized. Even if you are not a TA, but are an employee of the department, you're still connected to them through advocacy and campus issues. For more information check out the [http://www.taa-madison.org/ TAA].<br />
<br />
== Getting stuff done ==<br />
See the Contacts section for a list of people who will help you get stuff done.<br />
<br />
If you want to reserve rooms in Van Vleck for review sessions or meetings you can fill out a green form with Sharon Paulson on the second floor. Sharon does the scheduling for about 4 or 5 rooms in the building, so you can also ask her about these rooms directly. If you need to reserve the 9th floor lounge, talk to Michael Wang (also second floor).<br />
<br />
Each grad receives 200 photocopies and 250 black and white print outs a month for personal math use. If you are a TA, Sharon in the Copy Center on the second floor can photocopy materials for classes (which does not count toward your quota)– such as worksheets and quizzes. Just give her at least 24 hours notice. To check your printout quota, open a terminal logged into the math server, and type "pages". If you do go over your quota, you will simply get a (probably very small) bill at the end of the month.<br />
<br />
We get free office supplies on the 2nd floor – just ask the Receptionist for pens, folders, etc.<br />
<br />
You can pick up and send out your mail from the second floor. You might even want to have packages delivered to the department, to avoid missing them being delivered at home (UPS, for example, won't drop off to apartment complexes if you aren't there, so you'll have to drive out to Middleton to pick up your packages).<br />
<br />
It's never too early to start studying for [http://www.math.wisc.edu/graduate/quals quals]... early and often, my friends. Early and Often.<br />
<br />
== Getting together ==<br />
Historically, some afternoons and Friday before colloquium, we have a cookie and coffee social hour on the 9th floor lounge. Keep your eyes open for announcements.<br />
<br />
Definitely check out some of the [http://www.math.wisc.edu/seminars colloquia and seminars]. The earlier you get involved the better. This is a great way to learn more about potential research areas, meet other people in the areas, and meet other mathematicians in other departments. There is a list posted on the 9th floor each week in addition to online.<br />
<br />
Once a semester, our group for [http://www.math.wisc.edu/~wimaw/ women in mathematics] get together for an informal potluck. We also have been known to bring in women speakers funded by the [http://wiseli.engr.wisc.edu/ WiSELI] grant.<br />
<br />
= Miscellaneous Wisconsin Stuff =<br />
This section describes miscellaneous Wisconsin stuff that doesn't belong in any other section, such as, a [[Wisconsin Dictionary]] for those who aren't familiar with the Wisconsin vernacular.<br />
<br />
== Voting ==<br />
Frequently asked questions for Wisconsin voting can be found <br />
[http://wisconsin.gov/state/core/faq_wisconsin_voting_elections.html here]. <br />
As of the April election, Wisconsin has a law that allows for same day registration at the polls:<br />
<br />
''If you wish to register to vote at your polling place, you must complete a voter registration application (EB-131), provide your driver's license number (or if you have not been issued a driver's license, provide a state-issued identification card number or provide the last four (4) digits of your social security number), AND have proof of residence indicating that you have lived at your current address for 10 days preceding the election.''<br />
<br />
Out of state licenses work, and utility bills, bank statements, or pay checks with your name and address on them work for proof of residence.<br />
<br />
== Car Stuff ==<br />
Madison has a DMV out on the west side, just past Midvale, at 4802 Sheboygan Ave, and one on the east side out near the airport. <br />
<br />
*Licenses: As they say on their page for licensing new residents, if you're looking to put your permanent residence here and vote here and generally show up on the radar, you should apply for your [http://www.dot.state.wi.us/drivers/drivers/apply/nonreside/index.htm WI license] within 60 days of establishing residency. Your first baseline license costs $28, and is valid for three years. Note: you will need to take with you, among other things, something like a rent agreement, or a utility bill, UW transcript, or bank statement actually mailed to your WI address (no e-bills). We'll note that math students have been known to wait longer than 60 days to officially apply for residency, but we recommend you don't wait until an out-of-state license expires to get a WI license.<br />
<br />
*Vehicle Registration: If you own a car and officially become a WI resident, you need to get WI plates. All the information you need is available [http://www.dot.state.wi.us/drivers/vehicles/new/resident.htm here].<br />
<br />
*Parking: First, unless you have a motorcycle, '''don't''' plan to park on campus regularly. For parking near your residence, there are some options. Depending on the neighborhood, it's possible to rent a place that has parking included or available for an extra charge. Additionally, if you live in an area surrounded by 2-hr parking [http://www.cityofmadison.com/parkingutility/documents/RP3allmap.pdf zones], you can usually buy a permit (for a little over $20 per year) allowing you to park on the street all day near your home. More information can be found on the City of Madison Parking Utility [http://www.cityofmadison.com/parkingUtility/index.cfm page]. Most importantly, "the vehicle for which you are requesting a permit must be owned by you, your child, your parents/step parents, legal guardian, spouse or registered domestic partner, or be a leased or company vehicle which is assigned to you." <br />
<br />
BE AWARE! Winter parking gets all crazy in Madison (from November 15 - March 15). Most of town is on an alternate side parking schedule: cars should be parked on the even (resp. odd) house numbered side of the street from 1:00a.m. until 7:00 a.m. on even (resp. odd) numbered days. If you live on the isthmus in the Snow Emergency Zone, you will only need to do this when the weather gets really bad. You can sign up for alerts when this happens.<br />
<br />
If you leave your car in the wrong place -- with winter nonsense or for any other reason -- and it gets towed, you can call the Madison Police Department (266-4260) or Schmidt's Towing (257-0505) to find out what they've done with it.<br />
<br />
== Taxes ==<br />
Once you've lived here for an entire calendar year, be sure to look into the [http://www.dor.state.wi.us/faqs/ise/home.html Wisconsin Homestead Credit]... it's usually worth the time and effort for graduate students. Until then, you can look into [http://www.irs.gov/taxtopics/tc455.html deducting moving costs] for relocating here on your federal taxes.<br />
<br />
A warning to students on fellowship: taxes will not be taken out of your paycheck, but you still have to pay them. You may want to consider filing [http://www.irs.gov/faqs/faq/0,,id=199807,00.html quarterly].<br />
<br />
== Wisconsin benefit programs ==<br />
We don't exactly get piles of money for teaching. In fact, most people who are not on fellowship or receiving summer funding can qualify for some heating aid (up to $380/year), and electricity aid (up to $285/year). You can check your eligibility at [https://access.wisconsin.gov/ Access WI]. <br />
There may be some residency requirements, like the Homestead credit. You can find your annual salary in our [http://www.taa-madison.org/contract/index.html contract].<br />
<br />
== Residency ==<br />
While it's usually a good idea to become a WI resident, if, for some reason, you're looking to declare residency in WI for tuition purposes, the answer is usually "no." It seems that one has to be in Wisconsin for a full year before enrolling at the UW, and one has to prove that one did not move here primarily for educational purposes (according to the Wisconsin statutes, you have to provide "clear and convincing evidence"). More on that at the [http://www.registrar.wisc.edu/students/residence/index.php Office of the Registrar]'s site.<br />
<br />
= Contacts and Other Resources =<br />
*[http://info.gradsch.wisc.edu/education/gsc/gradguide/index.html Guide to Graduate Student Life]: The Graduate Student Collaborative's ([http://info.gradsch.wisc.edu/education/gsc/index.html GSC]) guide to grad student life in Madison -- like this one, but different.<br />
<br />
*[http://www.yelp.com/madison-wi Yelp.com]: Find reviews of local stuff- restaurants and things to do, but also dentists, auto shops, etc.<br />
<br />
*[http://www.vip.wisc.edu VIP], the Visitor & Information Programs office, located in the Red Gym, near [http://www.union.wisc.edu Memorial Union]. They are open M - F 8am - 5pm and Saturday 11am - 2pm. <br />
<br />
*[http://www.newstudent.wisc.edu Student Orientation Handbook] is a valuable resource for information including entertainment, recreational and varsity sports, student organizations (including those for cultural groups, international students, LGBT students, women, veterans, and people with disabilities), health services, jobs, transportation, safety, and housing. It’s also a great place for referrals to counseling services, including drug and alcohol and sexual assault issues. You can find all this information on the web, at http://www.wisc.edu/visitingCampus/ or call them at 263-2400. You can also email any questions you have to askbucky@uwmad.wisc.edu.<br />
<br />
*[http://www.lgbt.wisc.edu LGBT Campus Center]: The Lesbian, Gay, Bisexual, and Transgender Campus Center (265-3344; lgbtcc@rso.wisc.edu) provides support, social, educational and research services to the campus community, and serves as UW-Madison's first stop for those looking for information about campus LGBT organizations. The Memorial Union office on the 2nd floor includes a library, a television and DVD player, plenty of comfortable seating, open computers, and has a staff of students and professionals that work to bring events, speakers, and programs to campus. The Center also publishes a weekly events e-letter and offers support and social groups.<br />
<br />
*[http://www.math.wisc.edu/~wimaw/ WIMAW] (Women in Math at Wisconsin.)<br />
<br />
<br />
----<br />
<br />
Got Questions? Here are some folks who might just have the answers...<br />
<br />
== Counseling Services ==<br />
Counseling services are available through Counseling and [http://www.uhs.wisc.edu/services/counseling/ Consultation Services (C&CS)], located at 115 North Orchard Street, (265-5600, TTY number 265-3300). C&CS offers brief psychological treatment, personal counseling, and psychiatric services to UW-Madison students. Frequent services include help in overcoming depression, managing anxiety and other psychological issues, and in developing greater self-awareness, independence, and self-direction. They also provide personal problem counseling, couples relationship counseling, marriage and family counseling, cross-cultural counseling, and alcohol and drug assessment and referral. Specialized groups have included: graduate women support, women and self-esteem, interpersonal relationships, stress management, survivors of troubled families, rebuilding relationships. C&CS also provides crisis response at the above phone numbers. Services provided are covered by the student health fee (included in your student fees).<br />
<br />
== Administrative and Support Staff ==<br />
The administrative and support staff are the folk that keep our department functioning. Without them, we as mathematicians would be lost. :) Their contact info can be found [https://www.math.wisc.edu/contactus]. If one person doesn't know how to deal with a problem you might have, they certainly know who might be able to help you out.<br />
<br />
== Current and Former Graduate Students Interested in Meeting YOU ==<br />
You can find a complete list of current graduate students [http://www.math.wisc.edu/~apache/psdbgrad.html here], and pictures can be found [http://www.math.wisc.edu/~apache/gallery/grad.html here]. Email addresses that end with @ are intended to finish with @math.wisc.edu.<br />
<br />
Liban Mohamed<br />
Email: liban@<br />
[http://www.math.wisc.edu/~liban Website:]<br />
Grad-Age: Started 2014<br />
Area of interest: Analysis<br />
Ask Liban about: Anything, including in particular coursework, fellowships and housing.<br />
<br />
Hans Chaumont<br />
Email: chaumont@<br />
[http://www.math.wisc.edu/~chaumont Website:]<br />
Grad-Age: Started 2012<br />
Area of interest: Undecided<br />
Ask Hans about: Pretty much anything, but especially about tea or lifting weights.<br />
<br />
Laura Cladek<br />
Email: cladek@<br />
[http://www.math.wisc.edu/~cladek Website:]<br />
Grad-age: Started 2011<br />
Area of interest: Analysis<br />
Ask Laura about: Anything ... Especially analysis or on campus housing.<br />
<br />
Nathan Collins<br />
Email: nathan.collins@gmail.com<br />
[http://cs.pdx.edu/~ntc2 Website]<br />
Grad-age: M.S., 2008<br />
Area of interest: Computer Science and Logic.<br />
Ask Nathan about: Pittsburgh, bicycles, and being inferior to Mason at TAing. He dislikes printers and bad margins.<br />
<br />
Sara Jensen<br />
Email: jensen@<br />
[http://www.math.wisc.edu/~jensen Website:]<br />
Grad-age: Started 2008<br />
Area of interest: Algebra<br />
Ask Sara about: Teaching, topology & algebra quals, knitting group, going to the gym <br />
<br />
Christine Lien<br />
Email: lien@<br />
[http://www.math.wisc.edu/~lien Website]<br />
Grad-age: Started 2005<br />
Area of interest: Complex Geometry<br />
Ask Christine about: anything, including bridge/card games, organizing women's events, <br />
the Association of Asian American Graduate students, and the Graduate Student Topology Seminar.<br />
<br />
Beth Skubak<br />
Email: skubak@<br />
[http://www.math.wisc.edu/~skubak Website]<br />
Grad-age: Started 2009<br />
Area of interest: Probability<br />
Ask Beth about: anything, including this wiki</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Main_Page&diff=17121Main Page2019-03-07T17:09:40Z<p>Nagreen: /* Welcome to the University of Wisconsin Math Department Wiki */</p>
<hr />
<div><br />
== Welcome to the University of Wisconsin Math Department Wiki ==<br />
<br />
This site is by and for the faculty, students and staff of the UW Mathematics Department. It contains useful information about the department, not always available from other sources. Pages can only be edited by members of the department but are viewable by everyone. <br />
<br />
*[[Getting Around Van Vleck]]<br />
<br />
*[[Computer Help]] <br />
<br />
*[[Connecting/Using our research servers]]<br />
<br />
*[[Graduate Student Guide]]<br />
<br />
*[[Teaching Resources]]<br />
<br />
== Research groups at UW-Madison ==<br />
<br />
*[[Algebra]]<br />
*[[Analysis]]<br />
*[[Applied|Applied Mathematics]]<br />
*[https://www.math.wisc.edu/wiki/index.php/Research_at_UW-Madison_in_DifferentialEquations Differential Equations]<br />
*[[Dynamics Special Lecture]]<br />
*[[Geometry and Topology]]<br />
* [http://www.math.wisc.edu/~lempp/logic.html Logic]<br />
*[[Probability]]<br />
<br />
== Math Seminars at UW-Madison ==<br />
<br />
*[[Colloquia|Colloquium]]<br />
*[[Algebra_and_Algebraic_Geometry_Seminar|Algebra and Algebraic Geometry Seminar]]<br />
*[[Analysis_Seminar|Analysis Seminar]]<br />
*[[Applied/ACMS|Applied and Computational Math Seminar]]<br />
*[http://www.math.wisc.edu/~zcharles/aas/index.html Applied Algebra Seminar]<br />
*[[Cookie_seminar|Cookie Seminar]]<br />
*[[Geometry_and_Topology_Seminar|Geometry and Topology Seminar]]<br />
*[[Group_Theory_Seminar|Group Theory Seminar]]<br />
*[[Networks_Seminar|Networks Seminar]]<br />
*[[NTS|Number Theory Seminar]]<br />
*[[PDE_Geometric_Analysis_seminar| PDE and Geometric Analysis Seminar]]<br />
*[[Probability_Seminar|Probability Seminar]]<br />
* [http://www.math.wisc.edu/~lempp/conf/swlc.html Southern Wisconsin Logic Colloquium]<br />
*[[Research Recruitment Seminar]]<br />
<br />
=== Graduate Student Seminars ===<br />
<br />
*[[AMS_Student_Chapter_Seminar|AMS Student Chapter Seminar]]<br />
*[[Graduate_Algebraic_Geometry_Seminar|Graduate Algebraic Geometry Seminar]]<br />
*[[Graduate_Applied_Algebra_Seminar|Graduate Applied Algebra Seminar]]<br />
*[[Applied/GPS| GPS Applied Math Seminar]]<br />
*[[NTSGrad_Spring_2019|Graduate Number Theory/Representation Theory Seminar]]<br />
*[[Symplectic_Geometry_Seminar|Symplectic Geometry Seminar]]<br />
*[[Math843Seminar| Math 843 Homework Seminar]]<br />
*[[Graduate_student_reading_seminar|Graduate Probability Reading Seminar]]<br />
*[[Summer_stacks|Summer 2012 Stacks Reading Group]]<br />
*[[Graduate_Student_Singularity_Theory]]<br />
*[[Graduate/Postdoc Topology and Singularities Seminar]]<br />
*[[Shimura Varieties Reading Group]]<br />
*[[Summer graduate harmonic analysis seminar]]<br />
*[[Graduate Logic Seminar]]<br />
*[[SIAM Student Chapter Seminar]]<br />
<br />
=== Other ===<br />
*[[Madison Math Circle]]<br />
*[[High School Math Night]]<br />
*[http://www.siam-uw.org/ UW-Madison SIAM Student Chapter]<br />
*[http://www.math.wisc.edu/%7Emathclub/ UW-Madison Math Club]<br />
*[[Putnam Club]]<br />
*[[Undergraduate Math Competition]]<br />
*[[Basic Linux Seminar]]<br />
*[[Basic HTML Seminar]]<br />
<br />
== Graduate Program ==<br />
<br />
* [[Algebra Qualifying Exam]]<br />
* [[Analysis Qualifying Exam]]<br />
* [[Topology Qualifying Exam]]<br />
<br />
== Undergraduate Program ==<br />
<br />
* [[Overview of the undergraduate math program|Overview]]<br />
* [[Groups looking to hire students as tutors]]<br />
<br />
== Getting started with Wiki-stuff ==<br />
<br />
Consult the [http://meta.wikimedia.org/wiki/Help:Contents User's Guide] for information on using the wiki software.<br />
* [http://www.mediawiki.org/wiki/Manual:Configuration_settings Configuration settings list]<br />
* [http://www.mediawiki.org/wiki/Manual:FAQ MediaWiki FAQ]<br />
* [http://lists.wikimedia.org/mailman/listinfo/mediawiki-announce MediaWiki release mailing list]</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Main_Page&diff=17120Main Page2019-03-07T17:09:24Z<p>Nagreen: </p>
<hr />
<div><br />
== Welcome to the University of Wisconsin Math Department Wiki ==<br />
<br />
This site is by and for the faculty, students and staff of the UW Mathematics Department. It contains useful information about the department, not always available from other sources. Pages can only be edited by members of the department but are viewable by everyone. <br />
<br />
*[[Getting Around Van Vleck]]<br />
<br />
*[[Computer Help]] <br />
<br />
*[[Connecting/Using our research servers]]<br />
<br />
*[[Graduate Student Guide]]<br />
<br />
*[[Teaching Resources]]<br />
<br />
*[[Departmental Meetings]]<br />
<br />
== Research groups at UW-Madison ==<br />
<br />
*[[Algebra]]<br />
*[[Analysis]]<br />
*[[Applied|Applied Mathematics]]<br />
*[https://www.math.wisc.edu/wiki/index.php/Research_at_UW-Madison_in_DifferentialEquations Differential Equations]<br />
*[[Dynamics Special Lecture]]<br />
*[[Geometry and Topology]]<br />
* [http://www.math.wisc.edu/~lempp/logic.html Logic]<br />
*[[Probability]]<br />
<br />
== Math Seminars at UW-Madison ==<br />
<br />
*[[Colloquia|Colloquium]]<br />
*[[Algebra_and_Algebraic_Geometry_Seminar|Algebra and Algebraic Geometry Seminar]]<br />
*[[Analysis_Seminar|Analysis Seminar]]<br />
*[[Applied/ACMS|Applied and Computational Math Seminar]]<br />
*[http://www.math.wisc.edu/~zcharles/aas/index.html Applied Algebra Seminar]<br />
*[[Cookie_seminar|Cookie Seminar]]<br />
*[[Geometry_and_Topology_Seminar|Geometry and Topology Seminar]]<br />
*[[Group_Theory_Seminar|Group Theory Seminar]]<br />
*[[Networks_Seminar|Networks Seminar]]<br />
*[[NTS|Number Theory Seminar]]<br />
*[[PDE_Geometric_Analysis_seminar| PDE and Geometric Analysis Seminar]]<br />
*[[Probability_Seminar|Probability Seminar]]<br />
* [http://www.math.wisc.edu/~lempp/conf/swlc.html Southern Wisconsin Logic Colloquium]<br />
*[[Research Recruitment Seminar]]<br />
<br />
=== Graduate Student Seminars ===<br />
<br />
*[[AMS_Student_Chapter_Seminar|AMS Student Chapter Seminar]]<br />
*[[Graduate_Algebraic_Geometry_Seminar|Graduate Algebraic Geometry Seminar]]<br />
*[[Graduate_Applied_Algebra_Seminar|Graduate Applied Algebra Seminar]]<br />
*[[Applied/GPS| GPS Applied Math Seminar]]<br />
*[[NTSGrad_Spring_2019|Graduate Number Theory/Representation Theory Seminar]]<br />
*[[Symplectic_Geometry_Seminar|Symplectic Geometry Seminar]]<br />
*[[Math843Seminar| Math 843 Homework Seminar]]<br />
*[[Graduate_student_reading_seminar|Graduate Probability Reading Seminar]]<br />
*[[Summer_stacks|Summer 2012 Stacks Reading Group]]<br />
*[[Graduate_Student_Singularity_Theory]]<br />
*[[Graduate/Postdoc Topology and Singularities Seminar]]<br />
*[[Shimura Varieties Reading Group]]<br />
*[[Summer graduate harmonic analysis seminar]]<br />
*[[Graduate Logic Seminar]]<br />
*[[SIAM Student Chapter Seminar]]<br />
<br />
=== Other ===<br />
*[[Madison Math Circle]]<br />
*[[High School Math Night]]<br />
*[http://www.siam-uw.org/ UW-Madison SIAM Student Chapter]<br />
*[http://www.math.wisc.edu/%7Emathclub/ UW-Madison Math Club]<br />
*[[Putnam Club]]<br />
*[[Undergraduate Math Competition]]<br />
*[[Basic Linux Seminar]]<br />
*[[Basic HTML Seminar]]<br />
<br />
== Graduate Program ==<br />
<br />
* [[Algebra Qualifying Exam]]<br />
* [[Analysis Qualifying Exam]]<br />
* [[Topology Qualifying Exam]]<br />
<br />
== Undergraduate Program ==<br />
<br />
* [[Overview of the undergraduate math program|Overview]]<br />
* [[Groups looking to hire students as tutors]]<br />
<br />
== Getting started with Wiki-stuff ==<br />
<br />
Consult the [http://meta.wikimedia.org/wiki/Help:Contents User's Guide] for information on using the wiki software.<br />
* [http://www.mediawiki.org/wiki/Manual:Configuration_settings Configuration settings list]<br />
* [http://www.mediawiki.org/wiki/Manual:FAQ MediaWiki FAQ]<br />
* [http://lists.wikimedia.org/mailman/listinfo/mediawiki-announce MediaWiki release mailing list]</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Scanners&diff=17072Scanners2019-03-01T16:23:09Z<p>Nagreen: </p>
<hr />
<div>==Scanning==<br />
<br />
If you want to scan a document to create a digital file, there are several places where you can do this in Van Vleck. One of them, the copier/scanner in the Math Library can be used by anyone with a University connection. The other facilities are reserved for members of the Math Department. If you want to scan a document to a PDF file, use the copier/scanners located on floors 3-8 of Van Vleck. The document feeder makes it easy to scan a large multipage document to a PDF file which can then be e-mailed to someone. Math Department faculty, graduate,<br />
students and staff will be given access codes to use the copy feature of these machines.<br />
<br />
For small, individual scanning jobs, there is an Epson flatbed scanner attached to the iMac in 101B Van Vleck. In order to use this scanner you must have a Math Department account. You will use this account to log into the Macintosh. <br />
<br />
For more details about these scanners, select one of the following:<br />
<br />
* Scanning from the [[http://www2.math.wisc.edu/computing/other/MacScan.html iMac]] in 101B</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Computer_Help&diff=17071Computer Help2019-03-01T16:22:37Z<p>Nagreen: /* Facilities */</p>
<hr />
<div>'''Computer Help'''<br />
This is a guide to the computer facilities, services and software available at the Math department of the University of Wisconsin. Most of the facilities are for department's the faculty, graduate students and staff. Those who do not have Math department accounts may use the two kiosk PCs located at the north B1 entrance (facing Ingraham hall) or the PCs located in the Kleene Math Library on the B2 level of Van Vleck hall.<br />
<br />
== Accounts and Policies ==<br />
* [[Math Accounts]]<br />
* [[Math Computer Policies]]<br />
* [[Quotas]]<br />
* [[University Computer Policies]]<br />
* [[Math Apps]]<br />
<br />
=== Account Set Up ===<br />
Every person in the math department should be provided the opportunity to set up an account. That account is used for ...<br />
<br />
* computer login for math department computers<br />
* the ability to print to department printers<br />
* file storage on the department file server<br />
* access to math department servers for math software<br />
* the ability to login to various department web pages<br />
<br />
This is different from your WiscMail account, which is used for <br />
<br />
* payroll<br />
* access to L@UW, Moodle<br />
* access to UW system level IT resources such as google apps and UWNet wireless<br />
* your UW wiscmail account<br />
* login to various UW protected webpages hosted throughout the university<br />
* WiscVPN<br />
<br />
To set up your IMAP email client<br />
<br />
go to [https://kb.wisc.edu/page.php?id=28350]<br />
<br />
<br />
If you have problems with this, please let us know: staff@math.wisc.edu<br />
<br />
=== Dealing With Spam ===<br />
<br />
The University runs Office 365, which has some spam controls built in. <br />
<br />
There's two parts to the UW's spam control.<br />
<br />
* the Clutter Folder [https://kb.wisc.edu/page.php?id=53321]<br />
* the Junk Mail folder [https://kb.wisc.edu/page.php?id=45051]<br />
<br />
Questions regarding these two methods should be directed to the DoIT Help Desk. (264-HELP, 4357)<br />
<br />
=== Vacation Mail ===<br />
<br />
[https://kb.wisc.edu/page.php?id=32606]Head over to the UW KB.<br />
<br />
=== Forwarding your e-mail ===<br />
<br />
[https://kb.wisc.edu/page.php?id=36539]<br />
<br />
=== Leaving the Department ===<br />
If you leave the Math Department, we will occasionally remove old accounts. In some cases, we can leave an account in place for <br />
<br />
#) users that are continuing to collaborate with faculty or staff for research<br />
#) users that wish to continue to receive mail under their math account for a time. <br />
<br />
While we can't guarantee infinite continuation of your email account because that is controlled by DoIT, we do have some methods at our command to make this more streamlined and less prone to being deactivated.<br />
<br />
Generally, we remove accounts in October and March. IN most cases, you'll be told in an email that we intend on doing this.<br />
<br />
If you feel you fall under either of the two case scenarios listed above, please email nagreen@math.wisc.edu.<br />
<br />
=== E-mail Web Forms ===<br />
You can create a web page on your web site to allow visitors to send you e-mail messages. With an e-mail form, you can allow users to register for conferences, send feedback, or answer an on-line poll. With additional tools supplied by the Math Department, you can import these messages into a spreadsheet or database.<br />
<br />
*[[Creating an E-mail Form]]<br />
*[[Configuring procmail]]<br />
<br />
== '''Facilities''' ==<br />
<br />
The facilities and equipment described below are for use by UW Math department faculty and graduate students on the UW Madison Campus and, preferably, in Van Vleck hall.<br />
<br />
* '''Mobile Computers and Projectors''' <br><br />
Instructors may borrow laptop computers and projectors for demonstrations in any Van Vleck classroom. This equipment is kept in the Math Library on the B2 classroom level. You may check them out for up to 4 hours using your UW ID card. The math library also has an assortment of VGA video cables which can be used to connect a PC, Macintosh computer or iPad to a projector. One of the projectors has built in speakers and a DVD player. It also has two microphones which can be connected to it. WARNING: the laptops available for check out are somewhat old and have only basic software (MS Office, TeX) on them. It is far better to use your own computer with the Department's projectors.<br />
<br />
* '''Ceiling Mounted Projectors''' <br><br />
<br />
Classrooms B102, B107, B130, B215, B231 and B223, B239 and the 901 seminar room each have a ceiling mounted projector. These projectors provide better displays than the mobile units. They can be used with a laptop computer. If you want to reserve one of these rooms, contact Sharon Paulson at paulson@math.wisc.edu. Keep in mind, though, that they're heavily booked and usually only available at the beginning or end of the day.<br />
<br />
The Math Department's computer staff maintain the projectors in 901. All the others are maintained by the UW Physical Plant. Please contact Derek Dombrowski about them. You will need an access code to use them and a key if you want to use the document camera or microphone with them.<br />
Here is Derek's contact information:<br />
Derek Dombrowski<br />
373A BASCOM HALL<br />
ddombrowski@fpm.wisc.edu<br />
(608) 265-9697<br />
(608) 516-5993<br />
<br />
* '''Digital Camcorder''' <br><br />
<br />
There is a Canon Vixia HG20 Cam Corder in the Math Library which Math faculty and Graduate students can check out to film Math Events such as conferences, PhD defenses, etc. Use your faculty/staff ID card to check it out.<br />
* [[Scanners]]<br />
<br />
= Printing =<br />
<br />
Math Dept Printers<br />
{|<br />
! Location<br />
! PrinterName<br />
! Printer Type<br />
|-<br />
|3rd hall<br />
|3<br />
|Ricoh MPC 4501<br />
|-<br />
|4th hall<br />
|4<br />
|Ricoh MPC 4501<br />
|-<br />
|5th hall<br />
|5<br />
|Ricoh MPC 4501<br />
|-<br />
|6th hall<br />
|6<br />
|Ricoh MPC 4501<br />
|-<br />
|7th hall<br />
|7<br />
|Ricoh MPC 4501<br />
|-<br />
|8th hall<br />
|8<br />
|Ricoh MPC 4501<br />
|-<br />
|101B VV<br />
|a<br />
|HP LaserJet 600 M601<br />
|}<br />
<br />
During the summer of 2011, the department placed new Ricoh MPC 4501 printer/copier/scanners on floors 3-8. We will also switched from LPRNG to CUPS (the Common Unix Printing System) on our unix print servers. What this means in practical terms is that users should become familiar with the System V lp commands. Previously, we used the Berkeley lpr command and some of these commands will still work. <br />
<br />
As of 2014, we stopped charging for overages in printing, but want people to consider carefully the costs of consumables and paper, and the impact on the climate from overuse of paper. Please limit your use of our copiers to fewer than 250 pages a month.<br />
<br />
== Supplies ==<br />
If the printers run out of paper, please get more paper from the Copy Center on the second floor<br />
and place it in the printers. If you are unsure how to do this, ask the computer staff for assistance. For assistance with other problems (no toner, paper jams, etc. ) see Henry Mayes in 507 (for issues with the Ricoh copiers) and Sharon Paulson in 220 (for help with the printers in B127 and 101b). <br />
<br />
See the [http://www.cups.org/ cups guide] for more detailed information on printing with cups.<br />
Click on the links below to learn how to use each function with the Ricoh copiers.<br />
<br />
== [[Ricoh Copier FAQ]] ==<br />
<br />
Only people with computer accounts in the UW Math Department will be allowed to use the Van Vleck Ricoh copiers. If you have a math account, you will receive a code to use for copying. These <br />
codes will be mailed out once a year in September after old accounts are deleted and new ones added. '''NOTE''': if you forget your copier code, login to one of<br />
the math department linux PCs and type '''whatsmypin'''.<br />
<br />
1. You copier code is only required for copying. Although the<br />
default display shows the copier login, you do not have to login<br />
in order to print or scan. Just push the buttons at the left<br />
to select the scanner or printer function.<br />
<br />
2. Your code can be used on any of the copiers on floors 3-8.<br />
Do not use the copiers on the second floor. They are reserved<br />
for the administrative staff.<br />
<br />
3. After you have finished copying, do not touch the display.<br />
Your login will time out after 60 seconds.<br />
<br />
4. Everyone with a math dept account is urged to keep their printing <br />
at fewer than 250 pages a month. The Math Department does keep a count of <br />
printing totals. You may receive a report each month on your total printing. <br />
At the end of the month, these are zeroed out.<br />
<br />
5. How to create a multi-page PDF document: Most people will want<br />
to create a multipage PDF scan of their document (instead of the <br />
default which is a single page TIFF document). To do this press the<br />
SCANNER button to the left of the display. Select SEND FILE TYPE/NAME<br />
in the left hand column of the display, then select MULTI-PAGE -> PDF<br />
<br />
== [[Ricoh Printing FAQ]] ==<br />
<br />
* [[Using the Ricoh with Linux]] (command line printing)<br />
* [[Using a Ricoh Printer on a Macintosh]]<br />
* [[Using a Ricoh Printer on a PC]]<br />
* [[Troubleshooting]]<br />
<br />
== [[Ricoh Scanner FAQ]] ==<br />
<br />
= Remote Access =<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Accessing_your_Math_department_network_space<br />
<br />
= TeX/LaTeX =<br />
TeX and LaTeX are supported on the Math Department computers. To learn more about<br />
Typesetting with LaTeX we recommend the following [http://www.latex-project.org/guides/books.html site]. Mediawiki has some support for LaTeX<br />
as the following example shows:<br />
<br />
<math><br />
\int_{[0, 1]^n} <br />
\left| \sum_{k = 1}^n \mathrm{e}^{2 \pi \mathrm{i} \, x_k} \right|^s \mathrm{d}\boldsymbol{x}<br />
</math><br />
<br />
= Unix =<br />
<br />
==Manipulating PDF files ==<br />
<br />
The ''pdftk'' toolkit provides several useful tools for manipulating PDF files without using<br />
Adobe Acrobat Pro. Here are some examples:<br />
<br />
1. This command will split off the first 15 pages of the file NSFProposal.pdf and save it to 'front.pdf'. Substituting 'cat 16-end' for 'cat 1-15' will save the second half of the file.<br />
<br />
pdftk NSFProposal.pdf cat 1-15 output front.pdf<br />
<br />
2. This command will merge two (or more) pdf files:<br />
<br />
pdftk 1.pdf 2.pdf 3.pdf cat output 123.pdf<br />
<br />
You can find more examples at [http://www.pdflabs.com/docs/pdftk-cli-examples/ pdftk-examples]<br />
= Troubleshooting =<br />
Answers to some common computer problems<br />
<br />
1. If you forgot the code you need to use the copiers, login to one of the department's linux PCs, open a terminal window and type 'whatsmypin'.<br />
<br />
2. 'Macintosh users'. Sometimes the internet connection on a Mac will <br />
freeze. If this happens, click on the following"<br />
System Preferences -> Network -> DCHP -> Advanced -> renew DHCP lease<br />
<br />
3. [[Moving back to Debian from Ubuntu]]</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Computer_Help&diff=17070Computer Help2019-03-01T16:21:19Z<p>Nagreen: /* E-mail Web Forms */</p>
<hr />
<div>'''Computer Help'''<br />
This is a guide to the computer facilities, services and software available at the Math department of the University of Wisconsin. Most of the facilities are for department's the faculty, graduate students and staff. Those who do not have Math department accounts may use the two kiosk PCs located at the north B1 entrance (facing Ingraham hall) or the PCs located in the Kleene Math Library on the B2 level of Van Vleck hall.<br />
<br />
== Accounts and Policies ==<br />
* [[Math Accounts]]<br />
* [[Math Computer Policies]]<br />
* [[Quotas]]<br />
* [[University Computer Policies]]<br />
* [[Math Apps]]<br />
<br />
=== Account Set Up ===<br />
Every person in the math department should be provided the opportunity to set up an account. That account is used for ...<br />
<br />
* computer login for math department computers<br />
* the ability to print to department printers<br />
* file storage on the department file server<br />
* access to math department servers for math software<br />
* the ability to login to various department web pages<br />
<br />
This is different from your WiscMail account, which is used for <br />
<br />
* payroll<br />
* access to L@UW, Moodle<br />
* access to UW system level IT resources such as google apps and UWNet wireless<br />
* your UW wiscmail account<br />
* login to various UW protected webpages hosted throughout the university<br />
* WiscVPN<br />
<br />
To set up your IMAP email client<br />
<br />
go to [https://kb.wisc.edu/page.php?id=28350]<br />
<br />
<br />
If you have problems with this, please let us know: staff@math.wisc.edu<br />
<br />
=== Dealing With Spam ===<br />
<br />
The University runs Office 365, which has some spam controls built in. <br />
<br />
There's two parts to the UW's spam control.<br />
<br />
* the Clutter Folder [https://kb.wisc.edu/page.php?id=53321]<br />
* the Junk Mail folder [https://kb.wisc.edu/page.php?id=45051]<br />
<br />
Questions regarding these two methods should be directed to the DoIT Help Desk. (264-HELP, 4357)<br />
<br />
=== Vacation Mail ===<br />
<br />
[https://kb.wisc.edu/page.php?id=32606]Head over to the UW KB.<br />
<br />
=== Forwarding your e-mail ===<br />
<br />
[https://kb.wisc.edu/page.php?id=36539]<br />
<br />
=== Leaving the Department ===<br />
If you leave the Math Department, we will occasionally remove old accounts. In some cases, we can leave an account in place for <br />
<br />
#) users that are continuing to collaborate with faculty or staff for research<br />
#) users that wish to continue to receive mail under their math account for a time. <br />
<br />
While we can't guarantee infinite continuation of your email account because that is controlled by DoIT, we do have some methods at our command to make this more streamlined and less prone to being deactivated.<br />
<br />
Generally, we remove accounts in October and March. IN most cases, you'll be told in an email that we intend on doing this.<br />
<br />
If you feel you fall under either of the two case scenarios listed above, please email nagreen@math.wisc.edu.<br />
<br />
=== E-mail Web Forms ===<br />
You can create a web page on your web site to allow visitors to send you e-mail messages. With an e-mail form, you can allow users to register for conferences, send feedback, or answer an on-line poll. With additional tools supplied by the Math Department, you can import these messages into a spreadsheet or database.<br />
<br />
*[[Creating an E-mail Form]]<br />
*[[Configuring procmail]]<br />
<br />
== '''Facilities''' ==<br />
<br />
The facilities and equipment described below are for use by UW Math department faculty and graduate students on the UW Madison Campus and, preferably, in Van Vleck hall.<br />
<br />
* '''Mobile Computers and Projectors''' <br><br />
Instructors may borrow laptop computers and projectors for demonstrations in any Van Vleck classroom. This equipment is kept in the Math Library on the B2 classroom level. You may check them out for up to 4 hours using your UW ID card. The math library also has an assortment of VGA video cables which can be used to connect a PC, Macintosh computer or iPad to a projector. One of the projectors has built in speakers and a DVD player. It also has two microphones which can be connected to it. WARNING: the laptops available for check out are somewhat old and have only basic software (MS Office, TeX) on them. It is far better to use your own computer with the Department's projectors.<br />
<br />
* '''Ceiling Mounted Projectors''' <br><br />
<br />
Classrooms B102, B107, B231 and B223, B239 and the 901 seminar room each have a ceiling mounted projector. These projectors provide better displays than the mobile units. They can be used with a laptop computer. If you want to reserve one of these rooms, contact Sharon Paulson at paulson@math.wisc.edu. Keep in mind, though, that they're heavily booked and usually only available at the beginning or end of the day.<br />
The Math Department's computer staff maintain the projectors in 901 and B107. All the others are maintained by the UW Physical Plant. Please contact Derek Dombrowski about them. You will need an access code to use them and a key if you want to use the document camera or microphone with them.<br />
Here is Derek's contact information:<br />
Derek Dombrowski<br />
373A BASCOM HALL<br />
ddombrowski@fpm.wisc.edu<br />
(608) 265-9697<br />
(608) 516-5993<br />
* '''Computer Classroom''' <br><br />
<br />
B107 is an instructional computer lab featuring 21 speedy Windows PCs --each PC has network access and Maple, Matlab, and MSOffice programs-- a ceiling-mounted projector connected to the instructor's computer, and an HP B&W Laserjet printer with duplexer. To reserve this room, please contact Sharon Paulson at paulson@math.wisc.edu.<br />
<br />
You can check out the key for the room from the Math Library.<br />
* '''Digital Camcorder''' <br><br />
<br />
There is a Canon Vixia HG20 Cam Corder in the Math Library which Math faculty and Graduate students can check out to film Math Events such as conferences, PhD defenses, etc. Use your faculty/staff ID card to check it out.<br />
* [[Scanners]]<br />
<br />
= Printing =<br />
<br />
Math Dept Printers<br />
{|<br />
! Location<br />
! PrinterName<br />
! Printer Type<br />
|-<br />
|3rd hall<br />
|3<br />
|Ricoh MPC 4501<br />
|-<br />
|4th hall<br />
|4<br />
|Ricoh MPC 4501<br />
|-<br />
|5th hall<br />
|5<br />
|Ricoh MPC 4501<br />
|-<br />
|6th hall<br />
|6<br />
|Ricoh MPC 4501<br />
|-<br />
|7th hall<br />
|7<br />
|Ricoh MPC 4501<br />
|-<br />
|8th hall<br />
|8<br />
|Ricoh MPC 4501<br />
|-<br />
|101B VV<br />
|a<br />
|HP LaserJet 600 M601<br />
|}<br />
<br />
During the summer of 2011, the department placed new Ricoh MPC 4501 printer/copier/scanners on floors 3-8. We will also switched from LPRNG to CUPS (the Common Unix Printing System) on our unix print servers. What this means in practical terms is that users should become familiar with the System V lp commands. Previously, we used the Berkeley lpr command and some of these commands will still work. <br />
<br />
As of 2014, we stopped charging for overages in printing, but want people to consider carefully the costs of consumables and paper, and the impact on the climate from overuse of paper. Please limit your use of our copiers to fewer than 250 pages a month.<br />
<br />
== Supplies ==<br />
If the printers run out of paper, please get more paper from the Copy Center on the second floor<br />
and place it in the printers. If you are unsure how to do this, ask the computer staff for assistance. For assistance with other problems (no toner, paper jams, etc. ) see Henry Mayes in 507 (for issues with the Ricoh copiers) and Sharon Paulson in 220 (for help with the printers in B127 and 101b). <br />
<br />
See the [http://www.cups.org/ cups guide] for more detailed information on printing with cups.<br />
Click on the links below to learn how to use each function with the Ricoh copiers.<br />
<br />
== [[Ricoh Copier FAQ]] ==<br />
<br />
Only people with computer accounts in the UW Math Department will be allowed to use the Van Vleck Ricoh copiers. If you have a math account, you will receive a code to use for copying. These <br />
codes will be mailed out once a year in September after old accounts are deleted and new ones added. '''NOTE''': if you forget your copier code, login to one of<br />
the math department linux PCs and type '''whatsmypin'''.<br />
<br />
1. You copier code is only required for copying. Although the<br />
default display shows the copier login, you do not have to login<br />
in order to print or scan. Just push the buttons at the left<br />
to select the scanner or printer function.<br />
<br />
2. Your code can be used on any of the copiers on floors 3-8.<br />
Do not use the copiers on the second floor. They are reserved<br />
for the administrative staff.<br />
<br />
3. After you have finished copying, do not touch the display.<br />
Your login will time out after 60 seconds.<br />
<br />
4. Everyone with a math dept account is urged to keep their printing <br />
at fewer than 250 pages a month. The Math Department does keep a count of <br />
printing totals. You may receive a report each month on your total printing. <br />
At the end of the month, these are zeroed out.<br />
<br />
5. How to create a multi-page PDF document: Most people will want<br />
to create a multipage PDF scan of their document (instead of the <br />
default which is a single page TIFF document). To do this press the<br />
SCANNER button to the left of the display. Select SEND FILE TYPE/NAME<br />
in the left hand column of the display, then select MULTI-PAGE -> PDF<br />
<br />
== [[Ricoh Printing FAQ]] ==<br />
<br />
* [[Using the Ricoh with Linux]] (command line printing)<br />
* [[Using a Ricoh Printer on a Macintosh]]<br />
* [[Using a Ricoh Printer on a PC]]<br />
* [[Troubleshooting]]<br />
<br />
== [[Ricoh Scanner FAQ]] ==<br />
<br />
= Remote Access =<br />
<br />
https://www.math.wisc.edu/wiki/index.php/Accessing_your_Math_department_network_space<br />
<br />
= TeX/LaTeX =<br />
TeX and LaTeX are supported on the Math Department computers. To learn more about<br />
Typesetting with LaTeX we recommend the following [http://www.latex-project.org/guides/books.html site]. Mediawiki has some support for LaTeX<br />
as the following example shows:<br />
<br />
<math><br />
\int_{[0, 1]^n} <br />
\left| \sum_{k = 1}^n \mathrm{e}^{2 \pi \mathrm{i} \, x_k} \right|^s \mathrm{d}\boldsymbol{x}<br />
</math><br />
<br />
= Unix =<br />
<br />
==Manipulating PDF files ==<br />
<br />
The ''pdftk'' toolkit provides several useful tools for manipulating PDF files without using<br />
Adobe Acrobat Pro. Here are some examples:<br />
<br />
1. This command will split off the first 15 pages of the file NSFProposal.pdf and save it to 'front.pdf'. Substituting 'cat 16-end' for 'cat 1-15' will save the second half of the file.<br />
<br />
pdftk NSFProposal.pdf cat 1-15 output front.pdf<br />
<br />
2. This command will merge two (or more) pdf files:<br />
<br />
pdftk 1.pdf 2.pdf 3.pdf cat output 123.pdf<br />
<br />
You can find more examples at [http://www.pdflabs.com/docs/pdftk-cli-examples/ pdftk-examples]<br />
= Troubleshooting =<br />
Answers to some common computer problems<br />
<br />
1. If you forgot the code you need to use the copiers, login to one of the department's linux PCs, open a terminal window and type 'whatsmypin'.<br />
<br />
2. 'Macintosh users'. Sometimes the internet connection on a Mac will <br />
freeze. If this happens, click on the following"<br />
System Preferences -> Network -> DCHP -> Advanced -> renew DHCP lease<br />
<br />
3. [[Moving back to Debian from Ubuntu]]</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=File:Hagfish_slime_1170.jpg&diff=16884File:Hagfish slime 1170.jpg2019-02-08T21:10:04Z<p>Nagreen: </p>
<hr />
<div></div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=File:Putnam_Basics_2019.pdf&diff=16883File:Putnam Basics 2019.pdf2019-02-08T21:01:14Z<p>Nagreen: </p>
<hr />
<div></div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=NTSGrad_Spring_2019&diff=16882NTSGrad Spring 20192019-02-08T20:41:09Z<p>Nagreen: /* Spring 2019 Semester: Schedule */</p>
<hr />
<div>= Graduate Student Number Theory / Representation Theory Seminar, University of Wisconsin – Madison =<br />
<br />
*'''When:''' Tuesdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' B113 Van Vleck<br />
<br />
The purpose of this seminar is to have a talk on each Tuesday by a graduate student to<br />
help orient ourselves for the [[NTS_Spring_2019_Semester| Number Theory Seminar]] talk on the following Thursday.<br />
These talks are generally aimed at beginning graduate students, and try to <br />
explain some of the background, terminology, and ideas for the Thursday talk.<br />
<br />
= Spring 2019 Semester: Schedule =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | January 29<br />
| bgcolor="#F0B0B0" align="center" | Ewan Dalby<br />
| bgcolor="#BCE2FE"| [[NTSGrad_Spring_2019/Abstracts#Jan_29|Approximating the mean square of the product of the Riemann zeta function with Dirichlet polynomials ]]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Feb 5<br />
| bgcolor="#F0B0B0" align="center" | [https://sites.google.com/wisc.edu/spark483 Sun Woo Park]<br />
| bgcolor="#BCE2FE"| [[NTSGrad_Spring_2019/Abstracts#Feb_5| Representations of <math>GL_n(\mathbb{F}_q)</math>]]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | February 12<br />
| bgcolor="#F0B0B0" align="center" | Hyun Jong Kim<br />
| bgcolor="#BCE2FE"| The integrality of the j-invariant on CM points<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | February 19<br />
| bgcolor="#F0B0B0" align="center" | Qiao He<br />
| bgcolor="#BCE2FE"| TBA<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | February 26<br />
| bgcolor="#F0B0B0" align="center" | Soumya Sankar<br />
| bgcolor="#BCE2FE"| TBA<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | March 5<br />
| bgcolor="#F0B0B0" align="center" | (Arizona Winter School)<br />
| bgcolor="#BCE2FE"| No Talk<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | March 12<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~sparenti/ Solly Parenti]<br />
| bgcolor="#BCE2FE"| TBA<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | March 19<br />
| bgcolor="#F0B0B0" align="center" | (Spring Break)<br />
| bgcolor="#BCE2FE"| No Talk<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | March 26<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~wanlin/ Wanlin Li]<br />
| bgcolor="#BCE2FE"| TBA<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | April 2<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~sparenti/ Solly Parenti]<br />
| bgcolor="#BCE2FE"| TBA<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | April 9<br />
| bgcolor="#F0B0B0" align="center" | [https://sites.google.com/wisc.edu/spark483 Sun Woo Park]<br />
| bgcolor="#BCE2FE"| TBA<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | April 16<br />
| bgcolor="#F0B0B0" align="center" | Niudun Wang<br />
| bgcolor="#BCE2FE"| TBA<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | April 23<br />
| bgcolor="#F0B0B0" align="center" | Asvin Gothandaraman<br />
| bgcolor="#BCE2FE"| TBA<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | April 30<br />
| bgcolor="#F0B0B0" align="center" | TBA<br />
| bgcolor="#BCE2FE"| TBA<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | May 7<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~bboggess/ Brandon Boggess]<br />
| bgcolor="#BCE2FE"| TBA<br />
<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
= Organizer(s) =<br />
<br />
Brandon Boggess (bboggess@math.wisc.edu)<br />
<br />
Soumya Sankar (ssankar3@wisc.edu)<br />
<br />
<br />
== Former Organizers ==<br />
<br />
Brandon Alberts <br />
<br />
Megan Maguire <br />
<br />
Ryan Julian<br />
<br />
= Other Graduate NTS Pages =<br />
<br />
The seminar webpage for Fall 2018 is [[NTSGrad_Fall_2018|here]].<br><br />
The seminar webpage for Spring 2018 is [[NTSGrad_Spring_2018|here]].<br><br />
The seminar webpage for Fall 2017 is [[NTSGrad|here]].<br><br />
The seminar webpage for Spring 2017 is [[NTSGrad_Spring_2017|here]].<br><br />
The seminar webpage for Fall 2016 is [[NTSGrad_Fall_2016|here]]<br><br />
The seminar webpage for Spring 2016 is [[NTSGrad_Spring_2016|here]]<br><br />
The seminar webpage for Fall 2015, is [[NTSGrad_Fall_2015|here]].<br><br />
<br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Colloquia&diff=16710Colloquia2019-01-24T14:44:28Z<p>Nagreen: </p>
<hr />
<div>= Mathematics Colloquium =<br />
<br />
All colloquia are on Fridays at 4:00 pm in Van Vleck B239, '''unless otherwise indicated'''.<br />
<br />
The calendar for spring 2019 can be found [[Colloquia/Spring2019|here]].<br />
<br />
==Spring 2019==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Jan 25<br />
| [http://www.users.miamioh.edu/randrib/ Beata Randrianantoanina] (Miami University Ohio) WIMAW<br />
|[[#Beata Randrianantoanina (Miami University Ohio) | Some nonlinear problems in the geometry of Banach spaces and their applications ]]<br />
| Tullia Dymarz<br />
|<br />
|-<br />
|Jan 30 '''Wednesday'''<br />
| [https://services.math.duke.edu/~pierce/ Lillian Pierce] (Duke University)<br />
|[[#Lillian Pierce (Duke University) | Short character sums ]]<br />
| Boston and Street<br />
|<br />
|-<br />
|Jan 31 '''Thursday'''<br />
| [http://www.math.tamu.edu/~dbaskin/ Dean Baskin] (Texas A&M)<br />
|[[#Dean Baskin (Texas A&M) | Radiation fields for wave equations ]]<br />
| Street<br />
|<br />
|-<br />
|Feb 1<br />
| [https://services.math.duke.edu/~jianfeng/ Jianfeng Lu] (Duke University)<br />
|[[# TBA| TBA ]]<br />
| Qin<br />
|<br />
|-<br />
|Feb 5 '''Tuesday'''<br />
| [http://www.math.tamu.edu/~alexei.poltoratski/ Alexei Poltoratski] (Texas A&M University)<br />
|[[# TBA| TBA ]]<br />
| Denisov<br />
|<br />
|-<br />
|Feb 8<br />
| [https://sites.math.northwestern.edu/~anaber/ Aaron Naber] (Northwestern)<br />
|[[#Aaron Naber (Northwestern) | A structure theory for spaces with lower Ricci curvature bounds ]]<br />
| Street<br />
|<br />
|-<br />
|Feb 15<br />
| <br />
|[[# TBA| TBA ]]<br />
| <br />
|<br />
|-<br />
|Feb 22<br />
| [https://people.math.osu.edu/cueto.5/ Angelica Cueto] (Ohio State)<br />
|[[# TBA| TBA ]]<br />
| Erman and Corey<br />
|<br />
|-<br />
|March 4<br />
| [http://www-users.math.umn.edu/~sverak/ Vladimir Sverak] (Minnesota) Wasow lecture<br />
|[[# TBA| TBA ]]<br />
| Kim<br />
|<br />
|-<br />
|March 8<br />
| [https://orion.math.iastate.edu/jmccullo/index.html Jason McCullough] (Iowa State)<br />
|[[# TBA| TBA ]]<br />
| Erman<br />
|<br />
|-<br />
|March 15<br />
| Maksym Radziwill (Caltech)<br />
|[[# TBA| TBA ]]<br />
| Marshall<br />
|<br />
|-<br />
|March 29<br />
| Jennifer Park (OSU)<br />
|[[# TBA| TBA ]]<br />
| Marshall<br />
|<br />
|-<br />
|April 5<br />
| Ju-Lee Kim (MIT)<br />
|[[# TBA| TBA ]]<br />
| Gurevich<br />
|<br />
|-<br />
|April 12<br />
| Evitar Procaccia (TAMU)<br />
|[[# TBA| TBA ]]<br />
| Gurevich<br />
|<br />
|-<br />
|April 19<br />
| [http://www.math.rice.edu/~jkn3/ Jo Nelson] (Rice University)<br />
|[[# TBA| TBA ]]<br />
| Jean-Luc<br />
|<br />
|-<br />
|April 26<br />
| [https://www.brown.edu/academics/applied-mathematics/faculty/kavita-ramanan/home Kavita Ramanan] (Brown University)<br />
|[[# TBA| TBA ]]<br />
| WIMAW<br />
|<br />
|-<br />
|May 3<br />
| Tomasz Przebinda (Oklahoma)<br />
|[[# TBA| TBA ]]<br />
| Gurevich<br />
|<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
===Beata Randrianantoanina (Miami University Ohio)===<br />
<br />
Title: Some nonlinear problems in the geometry of Banach spaces and their applications.<br />
<br />
Abstract: Nonlinear problems in the geometry of Banach spaces have been studied since the inception of the field. In this talk I will outline some of the history, some of modern applications, and some open directions of research. The talk will be accessible to graduate students of any field of mathematics.<br />
<br />
===Lillian Pierce (Duke University)===<br />
<br />
Title: Short character sums <br />
<br />
Abstract: A surprisingly diverse array of problems in analytic number theory have at their heart a problem of bounding (from above) an exponential sum, or its multiplicative cousin, a so-called character sum. For example, both understanding the Riemann zeta function or Dirichlet L-functions inside the critical strip, and also counting solutions to Diophantine equations via the circle method or power sieve methods, involve bounding such sums. In general, the sums of interest fall into one of two main regimes: complete sums or incomplete sums, with this latter regime including in particular “short sums.” Short sums are particularly useful, and particularly resistant to almost all known methods. In this talk, we will see what makes a sum “short,” sketch why it would be incredibly powerful to understand short sums, and discuss a curious proof from the 1950’s which is still the best way we know to bound short sums. We will end by describing new work which extends the ideas of this curious proof to bound short sums in much more general situations.<br />
<br />
===Dean Baskin (Texas A&M)===<br />
<br />
Title: Radiation fields for wave equations<br />
<br />
Abstract: Radiation fields are rescaled limits of solutions of wave equations near "null infinity" and capture the radiation pattern seen by a distant observer. They are intimately connected with the Fourier and Radon transforms and with scattering theory. In this talk, I will define and discuss radiation fields in a few contexts, with an emphasis on spacetimes that look flat near infinity. The main result is a connection between the asymptotic behavior of the radiation field and a family of quantum objects on an associated asymptotically hyperbolic space.<br />
<br />
===Aaron Naber (Northwestern)===<br />
<br />
Title: A structure theory for spaces with lower Ricci curvature bounds.<br />
<br />
Abstract: One should view manifolds (M^n,g) with lower Ricci curvature bounds as being those manifolds with a well behaved analysis, a point which can be rigorously stated. It thus becomes a natural question, how well behaved or badly behaved can such spaces be? This is a nonlinear analogue to asking how degenerate can a subharmonic or plurisubharmonic function look like. In this talk we give an essentially sharp answer to this question. The talk will require little background, and our time will be spent on understanding the basic statements and examples. The work discussed is joint with Cheeger, Jiang and with Li.<br />
<br />
<br />
== Past Colloquia ==<br />
<br />
[[Colloquia/Blank|Blank]]<br />
<br />
[[Colloquia/Fall2018|Fall 2018]]<br />
<br />
[[Colloquia/Spring2018|Spring 2018]]<br />
<br />
[[Colloquia/Fall2017|Fall 2017]]<br />
<br />
[[Colloquia/Spring2017|Spring 2017]]<br />
<br />
[[Archived Fall 2016 Colloquia|Fall 2016]]<br />
<br />
[[Colloquia/Spring2016|Spring 2016]]<br />
<br />
[[Colloquia/Fall2015|Fall 2015]]<br />
<br />
[[Colloquia/Spring2014|Spring 2015]]<br />
<br />
[[Colloquia/Fall2014|Fall 2014]]<br />
<br />
[[Colloquia/Spring2014|Spring 2014]]<br />
<br />
[[Colloquia/Fall2013|Fall 2013]]<br />
<br />
[[Colloquia 2012-2013|Spring 2013]]<br />
<br />
[[Colloquia 2012-2013#Fall 2012|Fall 2012]]</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Colloquia/Fall18&diff=16709Colloquia/Fall182019-01-24T14:43:41Z<p>Nagreen: </p>
<hr />
<div>= Mathematics Colloquium =<br />
<br />
All colloquia are on Fridays at 4:00 pm in Van Vleck B239, '''unless otherwise indicated'''.<br />
<br />
The calendar for spring 2019 can be found [[Colloquia/Spring2019|here]].<br />
<br />
==Spring 2019==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Jan 25<br />
| [http://www.users.miamioh.edu/randrib/ Beata Randrianantoanina] (Miami University Ohio) WIMAW<br />
|[[#Beata Randrianantoanina (Miami University Ohio) | Some nonlinear problems in the geometry of Banach spaces and their applications ]]<br />
| Tullia Dymarz<br />
|<br />
|-<br />
|Jan 30 '''Wednesday'''<br />
| [https://services.math.duke.edu/~pierce/ Lillian Pierce] (Duke University)<br />
|[[#Lillian Pierce (Duke University) | Short character sums ]]<br />
| Boston and Street<br />
|<br />
|-<br />
|Jan 31 '''Thursday'''<br />
| [http://www.math.tamu.edu/~dbaskin/ Dean Baskin] (Texas A&M)<br />
|[[#Dean Baskin (Texas A&M) | Radiation fields for wave equations ]]<br />
| Street<br />
|<br />
|-<br />
|Feb 1<br />
| [https://services.math.duke.edu/~jianfeng/ Jianfeng Lu] (Duke University)<br />
|[[# TBA| TBA ]]<br />
| Qin<br />
|<br />
|-<br />
|Feb 5 '''Tuesday'''<br />
| [http://www.math.tamu.edu/~alexei.poltoratski/ Alexei Poltoratski] (Texas A&M University)<br />
|[[# TBA| TBA ]]<br />
| Denisov<br />
|<br />
|-<br />
|Feb 8<br />
| [https://sites.math.northwestern.edu/~anaber/ Aaron Naber] (Northwestern)<br />
|[[#Aaron Naber (Northwestern) | A structure theory for spaces with lower Ricci curvature bounds ]]<br />
| Street<br />
|<br />
|-<br />
|Feb 15<br />
| <br />
|[[# TBA| TBA ]]<br />
| <br />
|<br />
|-<br />
|Feb 22<br />
| [https://people.math.osu.edu/cueto.5/ Angelica Cueto] (Ohio State)<br />
|[[# TBA| TBA ]]<br />
| Erman and Corey<br />
|<br />
|-<br />
|March 4<br />
| [http://www-users.math.umn.edu/~sverak/ Vladimir Sverak] (Minnesota) Wasow lecture<br />
|[[# TBA| TBA ]]<br />
| Kim<br />
|<br />
|-<br />
|March 8<br />
| [https://orion.math.iastate.edu/jmccullo/index.html Jason McCullough] (Iowa State)<br />
|[[# TBA| TBA ]]<br />
| Erman<br />
|<br />
|-<br />
|March 15<br />
| Maksym Radziwill (Caltech)<br />
|[[# TBA| TBA ]]<br />
| Marshall<br />
|<br />
|-<br />
|March 29<br />
| Jennifer Park (OSU)<br />
|[[# TBA| TBA ]]<br />
| Marshall<br />
|<br />
|-<br />
|April 5<br />
| Ju-Lee Kim (MIT)<br />
|[[# TBA| TBA ]]<br />
| Gurevich<br />
|<br />
|-<br />
|April 12<br />
| Evitar Procaccia (TAMU)<br />
|[[# TBA| TBA ]]<br />
| Gurevich<br />
|<br />
|-<br />
|April 19<br />
| [http://www.math.rice.edu/~jkn3/ Jo Nelson] (Rice University)<br />
|[[# TBA| TBA ]]<br />
| Jean-Luc<br />
|<br />
|-<br />
|April 26<br />
| [https://www.brown.edu/academics/applied-mathematics/faculty/kavita-ramanan/home Kavita Ramanan] (Brown University)<br />
|[[# TBA| TBA ]]<br />
| WIMAW<br />
|<br />
|-<br />
|May 3<br />
| Tomasz Przebinda (Oklahoma)<br />
|[[# TBA| TBA ]]<br />
| Gurevich<br />
|<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
===Beata Randrianantoanina (Miami University Ohio)===<br />
<br />
Title: Some nonlinear problems in the geometry of Banach spaces and their applications.<br />
<br />
Abstract: Nonlinear problems in the geometry of Banach spaces have been studied since the inception of the field. In this talk I will outline some of the history, some of modern applications, and some open directions of research. The talk will be accessible to graduate students of any field of mathematics.<br />
<br />
===Lillian Pierce (Duke University)===<br />
<br />
Title: Short character sums <br />
<br />
Abstract: A surprisingly diverse array of problems in analytic number theory have at their heart a problem of bounding (from above) an exponential sum, or its multiplicative cousin, a so-called character sum. For example, both understanding the Riemann zeta function or Dirichlet L-functions inside the critical strip, and also counting solutions to Diophantine equations via the circle method or power sieve methods, involve bounding such sums. In general, the sums of interest fall into one of two main regimes: complete sums or incomplete sums, with this latter regime including in particular “short sums.” Short sums are particularly useful, and particularly resistant to almost all known methods. In this talk, we will see what makes a sum “short,” sketch why it would be incredibly powerful to understand short sums, and discuss a curious proof from the 1950’s which is still the best way we know to bound short sums. We will end by describing new work which extends the ideas of this curious proof to bound short sums in much more general situations.<br />
<br />
===Dean Baskin (Texas A&M)===<br />
<br />
Title: Radiation fields for wave equations<br />
<br />
Abstract: Radiation fields are rescaled limits of solutions of wave equations near "null infinity" and capture the radiation pattern seen by a distant observer. They are intimately connected with the Fourier and Radon transforms and with scattering theory. In this talk, I will define and discuss radiation fields in a few contexts, with an emphasis on spacetimes that look flat near infinity. The main result is a connection between the asymptotic behavior of the radiation field and a family of quantum objects on an associated asymptotically hyperbolic space.<br />
<br />
===Aaron Naber (Northwestern)===<br />
<br />
Title: A structure theory for spaces with lower Ricci curvature bounds.<br />
<br />
Abstract: One should view manifolds (M^n,g) with lower Ricci curvature bounds as being those manifolds with a well behaved analysis, a point which can be rigorously stated. It thus becomes a natural question, how well behaved or badly behaved can such spaces be? This is a nonlinear analogue to asking how degenerate can a subharmonic or plurisubharmonic function look like. In this talk we give an essentially sharp answer to this question. The talk will require little background, and our time will be spent on understanding the basic statements and examples. The work discussed is joint with Cheeger, Jiang and with Li.<br />
<br />
<br />
== Past Colloquia ==<br />
<br />
[[Colloquia/Blank|Blank]]<br />
<br />
[[Colloquia/Fall2018|Fall 2018]]<br />
<br />
[[Colloquia/Spring2018|Spring 2018]]<br />
<br />
[[Colloquia/Fall2017|Fall 2017]]<br />
<br />
[[Colloquia/Spring2017|Spring 2017]]<br />
<br />
[[Archived Fall 2016 Colloquia|Fall 2016]]<br />
<br />
[[Colloquia/Spring2016|Spring 2016]]<br />
<br />
[[Colloquia/Fall2015|Fall 2015]]<br />
<br />
[[Colloquia/Spring2014|Spring 2015]]<br />
<br />
[[Colloquia/Fall2014|Fall 2014]]<br />
<br />
[[Colloquia/Spring2014|Spring 2014]]<br />
<br />
[[Colloquia/Fall2013|Fall 2013]]<br />
<br />
[[Colloquia 2012-2013|Spring 2013]]<br />
<br />
[[Colloquia 2012-2013#Fall 2012|Fall 2012]]</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Colloquia/Fall2018&diff=16708Colloquia/Fall20182019-01-24T14:42:49Z<p>Nagreen: /* Fall 2018 */</p>
<hr />
<div>== Fall 2018 ==<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Sep 12 '''Room 911'''<br />
| [https://sites.math.washington.edu/~gunther/ Gunther Uhlmann] (Univ. of Washington) Distinguished Lecture series<br />
|[[#Sep 12: Gunther Uhlmann (Univ. of Washington)| Harry Potter's Cloak via Transformation Optics ]]<br />
| Li<br />
|<br />
|-<br />
|Sep 14 '''Room 911'''<br />
| [https://sites.math.washington.edu/~gunther/ Gunther Uhlmann] (Univ. of Washington) Distinguished Lecture series<br />
|[[#Sep 14: Gunther Uhlmann (Univ. of Washington) | Journey to the Center of the Earth ]]<br />
| Li<br />
|<br />
|-<br />
|Sep 21 '''Room 911'''<br />
| [http://stuart.caltech.edu/ Andrew Stuart] (Caltech) LAA lecture<br />
|[[#Sep 21: Andrew Stuart (Caltech) | The Legacy of Rudolph Kalman ]]<br />
| Jin<br />
|<br />
|-<br />
|Sep 28<br />
| [https://www.math.cmu.edu/~gautam/sj/index.html Gautam Iyer] (CMU)<br />
|[[#Sep 28: Gautam Iyer (CMU)| Stirring and Mixing ]]<br />
| Thiffeault<br />
|<br />
|-<br />
|Oct 5<br />
| [http://www.personal.psu.edu/eus25/ Eyal Subag] (Penn State)<br />
|[[#Oct 5: Eyal Subag (Penn State)| Symmetries of the hydrogen atom and algebraic families ]]<br />
| Gurevich<br />
|<br />
|-<br />
|Oct 12<br />
| [https://www.math.wisc.edu/~andreic/ Andrei Caldararu] (Madison)<br />
|[[#Oct 12: Andrei Caldararu (Madison) | Mirror symmetry and derived categories ]]<br />
| ...<br />
|<br />
|-<br />
|Oct 19<br />
| [https://teitelbaum.math.uconn.edu/# Jeremy Teitelbaum] (U Connecticut)<br />
|[[#Oct 19: Jeremy Teitelbaum (U Connecticut)| Lessons Learned and New Perspectives: From Dean and Provost to aspiring Data Scientist ]]<br />
| Boston<br />
|<br />
|-<br />
|Oct 26<br />
| [http://math.arizona.edu/~ulmer/index.html Douglas Ulmer] (Arizona)<br />
|[[#Oct 26: Douglas Ulmer (Arizona) | Rational numbers, rational functions, and rational points ]]<br />
| Yang<br />
|<br />
|-<br />
|Nov 2 '''Room 911'''<br />
| [https://sites.google.com/view/ruixiang-zhang/home?authuser=0# Ruixiang Zhang] (Madison)<br />
|[[#Nov 2: Ruixiang Zhang (Madison) | The Fourier extension operator ]]<br />
| <br />
|<br />
|-<br />
|Nov 7 '''Wednesday'''<br />
| [http://math.mit.edu/~lspolaor/ Luca Spolaor] (MIT)<br />
|[[#Nov 7: Luca Spolaor (MIT) | (Log)-Epiperimetric Inequality and the Regularity of Variational Problems ]]<br />
| Feldman<br />
|<br />
|-<br />
|Nov 12 '''Monday'''<br />
| [http://www.math.tamu.edu/~annejls/ Anne Shiu] (Texas A&M)<br />
|[[#Nov 9: Anne Shiu (Texas A&M) | Dynamics of biochemical reaction systems ]]<br />
| Craciun, Stechmann<br />
|<br />
|-<br />
|Nov 19 '''Monday'''<br />
| [https://sites.google.com/site/ayomdin/ Alexander Yom Din] (Caltech) <br />
|[[#Nov 19: Alexander Yom Din (Caltech) | From analysis to algebra to geometry - an example in representation theory of real groups ]]<br />
| Boston, Gurevitch<br />
|<br />
|-<br />
|Nov 20 '''Tuesday, Room 911'''<br />
| [http://http://www.math.uchicago.edu/~drh/ Denis Hirschfeldt] (University of Chicago)<br />
|[[#Nov 20: Denis Hirschfeldt (University of Chicago)| Computability and Ramsey Theory ]]<br />
| Andrews<br />
|<br />
|-<br />
|Nov 26 '''Monday, Room 911'''<br />
| [http://math.mit.edu/directory/profile.php?pid=1415 Vadim Gorin] (MIT)<br />
|[[#Nov 26: Vadim Gorin (MIT)| Macroscopic fluctuations through Schur generating functions ]]<br />
| Anderson<br />
|<br />
|-<br />
|Nov 28 '''Wednesday'''<br />
| [http://www.math.ias.edu/~gchen/ Gao Chen](IAS)<br />
|[[#Nov 28: Gao Chen(IAS) | A Torelli type theorem ]]<br />
| Paul <br />
|<br />
|-<br />
|Nov 30<br />
| [https://math.indiana.edu/about/faculty/fisher-david.html David Fisher](Indiana U.)<br />
|[[#Nov 30: David Fisher (Indiana U.) | New Techniques for Zimmer's Conjecture ]]<br />
| Kent<br />
|-<br />
|Dec 3 '''Monday'''<br />
| [http://bena-tshishiku.squarespace.com/ Bena Tshishiku](Harvard)<br />
|[[#Dec 3: Bena Tshishiku (Harvard)| Surface bundles, monodromy, and arithmetic groups ]]<br />
| Paul<br />
|<br />
|-<br />
|Dec 5 '''Wednesday, Room 911'''<br />
| [http://www.mit.edu/~ssen90/ Subhabrata Sen](MIT and Microsoft Research New England)<br />
|[[#Dec 5: Subhabrata Sen (MIT and Microsoft Research New England) | Random graphs, Optimization, and Spin glasses ]]<br />
| Anderson<br />
|<br />
|-<br />
|Dec 7 '''Room 911'''<br />
| [https://math.berkeley.edu/people/faculty/leonardo-zepeda-n-ez Leonardo Zepeda-Nunez](Berkeley)<br />
|[[#Dec 7: Leonardo Zepeda-Nunez (Berkeley) | Accelerating ab-initio molecular dynamics via multi-scale neural networks ]]<br />
| Stechmann<br />
|<br />
|-<br />
|Dec 10 '''Monday'''<br />
| [http://math.mit.edu/~maxe/ Max Engelstein](MIT)<br />
|[[#Dec 10: Max Engelstein (MIT)| The role of Energy in Regularity ]]<br />
| Feldman<br />
|<br />
|}<br />
<br />
<br />
== Abstracts ==<br />
<br />
=== Sep 12: Gunther Uhlmann (Univ. of Washington) ===<br />
Harry Potter's Cloak via Transformation Optics<br />
<br />
Can we make objects invisible? This has been a subject of human<br />
fascination for millennia in Greek mythology, movies, science fiction,<br />
etc. including the legend of Perseus versus Medusa and the more recent<br />
Star Trek and Harry Potter. In the last fifteen years or so there have been<br />
several scientific proposals to achieve invisibility. We will introduce in a non-technical fashion<br />
one of them, the so-called "traansformation optics"<br />
in a non-technical fashion n the so-called that has received the most attention in the<br />
scientific literature.<br />
<br />
=== Sep 14: Gunther Uhlmann (Univ. of Washington) ===<br />
Journey to the Center of the Earth<br />
<br />
We will consider the inverse problem of determining the sound<br />
speed or index of refraction of a medium by measuring the travel times of<br />
waves going through the medium. This problem arises in global seismology<br />
in an attempt to determine the inner structure of the Earth by measuring<br />
travel times of earthquakes. It has also several applications in optics<br />
and medical imaging among others.<br />
<br />
The problem can be recast as a geometric problem: Can one determine the<br />
Riemannian metric of a Riemannian manifold with boundary by measuring<br />
the distance function between boundary points? This is the boundary<br />
rigidity problem. We will also consider the problem of determining<br />
the metric from the scattering relation, the so-called lens rigidity<br />
problem. The linearization of these problems involve the integration<br />
of a tensor along geodesics, similar to the X-ray transform.<br />
<br />
We will also describe some recent results, join with Plamen Stefanov<br />
and Andras Vasy, on the partial data case, where you are making<br />
measurements on a subset of the boundary. No previous knowledge of<br />
Riemannian geometry will be assumed.<br />
<br />
=== Sep 21: Andrew Stuart (Caltech) ===<br />
<br />
The Legacy of Rudolph Kalman<br />
<br />
In 1960 Rudolph Kalman published what is arguably the first paper to develop a systematic, principled approach to the use of data to improve the predictive capability of mathematical models. As our ability to gather data grows at an enormous rate, the importance of this work continues to grow too. The lecture will describe this paper, and developments that have stemmed from it, revolutionizing fields such space-craft control, weather prediction, oceanography and oil recovery, and with potential for use in new fields such as medical imaging and artificial intelligence. Some mathematical details will be also provided, but limited to simple concepts such as optimization, and iteration; the talk is designed to be broadly accessible to anyone with an interest in quantitative science.<br />
<br />
=== Sep 28: Gautam Iyer (CMU) ===<br />
<br />
Stirring and Mixing<br />
<br />
Mixing is something one encounters often in everyday life (e.g. stirring cream into coffee). I will talk about two mathematical<br />
aspects of mixing that arise in the context of fluid dynamics:<br />
<br />
1. How efficiently can stirring "mix"?<br />
<br />
2. What is the interaction between diffusion and mixing.<br />
<br />
Both these aspects are rich in open problems whose resolution involves tools from various different areas. I present a brief survey of existing<br />
results, and talk about a few open problems.<br />
<br />
=== Oct 5: Eyal Subag (Penn State)===<br />
<br />
Symmetries of the hydrogen atom and algebraic families<br />
<br />
The hydrogen atom system is one of the most thoroughly studied examples of a quantum mechanical system. It can be fully solved, and the main reason why is its (hidden) symmetry. In this talk I shall explain how the symmetries of the Schrödinger equation for the hydrogen atom, both visible and hidden, give rise to an example in the recently developed theory of algebraic families of Harish-Chandra modules. I will show how the algebraic structure of these symmetries completely determines the spectrum of the Schrödinger operator and sheds new light on the quantum nature of the system. No prior knowledge on quantum mechanics or representation theory will be assumed.<br />
<br />
=== Oct 12: Andrei Caldararu (Madison)===<br />
<br />
Mirror symmetry and derived categories<br />
<br />
Mirror symmetry is a remarkable phenomenon, first discovered in physics. It relates two seemingly disparate areas of mathematics, symplectic and algebraic geometry. Its initial formulation was rather narrow, as a technique for computing enumerative invariants (so-called Gromov-Witten invariants) of symplectic varieties by solving certain differential equations describing the variation of Hodge structure of “mirror" varieties. Over the past 25 years this narrow view has expanded considerably, largely due to insights of M. Kontsevich who introduced techniques from derived categories into the subject. Nowadays mirror symmetry encompasses wide areas of mathematics, touching on subjects like birational geometry, number theory, homological algebra, etc.<br />
<br />
In my talk I shall survey some of the recent developments in mirror symmetry, and I will explain how my work fits in the general picture. In particular I will describe an example of derived equivalent but not birational Calabi-Yau three folds (joint work with Lev Borisov); and a recent computation of a categorical Gromov-Witten invariant of positive genus (work with my former student Junwu Tu).<br />
<br />
=== Oct 19: Jeremy Teitelbaum (U Connecticut)===<br />
Lessons Learned and New Perspectives:<br />
From Dean and Provost to aspiring Data Scientist<br />
<br />
After more than 10 years in administration, including 9 as Dean of<br />
Arts and Sciences and 1 as interim Provost at UConn, I have returned<br />
to my faculty position. I am spending a year as a visiting scientist<br />
at the Jackson Laboratory for Genomic Medicine (JAX-GM) in Farmington,<br />
Connecticut, trying to get a grip on some of the mathematical problems<br />
of interest to researchers in cancer genomics. In this talk, I will offer some personal<br />
observations about being a mathematician and a high-level administrator, talk a bit about<br />
the research environment at an independent research institute like JAX-GM, outline<br />
a few problems that I've begun to learn about, and conclude with a<br />
discussion of how these experiences have shaped my view of graduate training in mathematics.<br />
<br />
=== Oct 26: Douglas Ulmer (Arizona)===<br />
<br />
Rational numbers, rational functions, and rational points<br />
<br />
One of the central concerns of arithmetic geometry is the study of<br />
solutions of systems of polynomial equations where the solutions are<br />
required to lie in a "small" field such as the rational numbers. I<br />
will explain the landscape of expectations and conjectures in this<br />
area, focusing on curves and their Jacobians over global fields<br />
(number fields and function fields), and then survey the progress made<br />
over the last decade in the function field case. The talk is intended<br />
to be accessible to a wide audience.<br />
<br />
=== Nov 2: Ruixiang Zhang (Madison)===<br />
<br />
The Fourier extension operator<br />
<br />
I will present an integral operator that originated in the study of the Euclidean Fourier transform and is closely related to many problems in PDE, spectral theory, analytic number theory, and combinatorics. I will then introduce some recent developments in harmonic analysis concerning this operator. I will mainly focus on various new ways to "induct on scales" that played an important role in the recent solution in all dimensions to Carleson's a.e. convergence problem on free Schrödinger solutions.<br />
<br />
=== Nov 7: Luca Spolaor (MIT)===<br />
<br />
(Log)-Epiperimetric Inequality and the Regularity of Variational Problems<br />
<br />
In this talk I will present a new method for studying the regularity of minimizers to variational problems. I will start by introducing the notion of blow-up, using as a model case the so-called Obstacle problem. Then I will state the (Log)-epiperimetric inequality and explain how it is used to prove uniqueness of the blow-up and regularity results for the solution near its singular set. I will then show the flexibility of this method by describing how it can be applied to other free-boundary problems and to (almost)-area minimizing currents.<br />
Finally I will describe some future applications of this method both in regularity theory and in other settings.<br />
<br />
=== Nov 9: Anne Shiu (Texas A&M)===<br />
<br />
Dynamics of biochemical reaction systems<br />
<br />
Reaction networks taken with mass-action kinetics arise in many settings, <br />
from epidemiology to population biology to systems of chemical reactions. <br />
This talk focuses on certain biological signaling networks, namely, <br />
phosphorylation networks, and their resulting dynamical systems. For many <br />
of these systems, the set of steady states admits a rational <br />
parametrization (that is, the set is the image of a map with <br />
rational-function coordinates). We describe how such a parametrization <br />
allows us to investigate the dynamics, including the emergence of <br />
bistability in a network underlying ERK regulation, and the capacity for <br />
oscillations in a mixed processive/distributive phosphorylation network.<br />
<br />
=== Nov 19: Alexander Yom Din (Caltech)===<br />
<br />
From analysis to algebra to geometry - an example in representation theory of real groups<br />
<br />
Representation theory of non-compact real groups, such as SL(2,R), is a fundamental discipline with uses in harmonic analysis, number theory, physics, and more. This theory is analytical in nature, but in the course of the 20th century it was algebraized and geometrized (the key contributions are by Harish-Chandra for the former and by Beilinson-Bernstein for the latter). Roughly and generally speaking, algebraization strips layers from the objects of study until we are left with a bare skeleton, amenable to symbolic manipulation. Geometrization, again very roughly, reveals how algebraic objects have secret lives over spaces - thus more amenable to human intuition. In this talk, I will try to motivate and present one example - the calculation of the Casselman-Jacquet module of a principal series representation (I will explain the terms in the talk).<br />
<br />
=== Nov 20: Denis Hirschfeldt (University of Chicago)===<br />
<br />
Computability and Ramsey Theory<br />
<br />
Computability theory can be seen as the study of the fine <br />
structure of definability. Much of its power relies on the deep <br />
connections between definability and computation. These connections can be seen in fundamental results such as Post's Theorem, which establishes a connection between the complexity of formulas needed to define a given set of natural numbers and its computability-theoretic strength. As has become increasingly clear, they can also be seen in the computability-theoretic analysis of objects whose definitions come from notions that arise naturally in combinatorics. The heuristic here is that <br />
computability-theoretically natural notions tend to be combinatorially <br />
natural, and vice-versa. I will discuss some results and open questions in <br />
the computability-theoretic analysis of combinatorial principles, in <br />
particular Ramsey-theoretic ones such as versions of Ramsey's Theorem for colorings of countably infinite sets, and versions of Hindman's Theorem, which states that for every coloring of the natural numbers with finitely many colors, there is an infinite set of numbers such that all nonempty sums of distinct elements of this set have the same color.<br />
<br />
=== Nov 26: Vadim Gorin (MIT)===<br />
<br />
Macroscopic fluctuations through Schur generating functions<br />
<br />
I will talk about a special class of large-dimensional stochastic systems with strong correlations. The main examples will be random tilings, non-colliding random walks, eigenvalues of random matrices, and measures governing decompositions of group representations into irreducible components.<br />
<br />
It is believed that macroscopic fluctuations in such systems are universally described by log-correlated Gaussian fields. I will present an approach to handle this question based on the notion of the Schur generating function of a probability distribution, and explain how it leads to a rigorous confirmation of this belief in a variety of situations.<br />
<br />
=== Nov 28: Gao Chen (IAS) ===<br />
<br />
A Torelli type theorem<br />
<br />
The length of a circle determines the shape of it. In this talk, we will discuss non-trivial generalizations of this fact for Riemann surfaces, hyperkähler 4-manifolds, Calabi-Yau threefolds and G_2, Spin(7) manifolds. <br />
<br />
=== Nov 30: David Fisher (Indiana U.) ===<br />
<br />
New Techniques for Zimmer's Conjecture<br />
<br />
Lattices in higher rank simple Lie groups are known to be<br />
extremely rigid. Examples of this are Margulis' superrigidity theorem,<br />
which shows they have very few linear represenations, and Margulis'<br />
arithmeticity theorem, which shows they are all constructed via number<br />
theory. Motivated by these and other results, in 1983 Zimmer made a<br />
number of conjectures about actions of these groups on compact<br />
manifolds. After providing some history and motivation, I will discuss<br />
a recent result that makes dramatic progress on the conjecture in all<br />
cases and proves it in many of them. I will place some emphasis on<br />
surprising connections to other areas of mathematics that arise in the<br />
proof.<br />
<br />
=== Dec 3: Bena Tshishiku (Harvard) ===<br />
<br />
Surface bundles, monodromy, and arithmetic groups<br />
<br />
Fiber bundles with fiber a surface arise in many areas including hyperbolic geometry, symplectic geometry, and algebraic geometry. Up to isomorphism, a surface bundle is completely determined by its monodromy representation, which is a homomorphism to a mapping class group. This allows one to use algebra to study the topology of surface bundles. Unfortunately, the monodromy representation is typically difficult to ``compute" (e.g. determine its image). In this talk, I will discuss some recent work toward computing monodromy groups for holomorphic surface bundles, including certain examples of Atiyah and Kodaira. This can be applied to the problem of counting the number of ways that certain 4-manifolds fiber over a surface. This is joint work with Nick Salter. <br />
<br />
=== Dec 5: Subhabrata Sen (MIT and Microsoft Research New England) ===<br />
<br />
Random graphs, Optimization, and Spin glasses<br />
<br />
Combinatorial optimization problems are ubiquitous in diverse mathematical applications. The desire to understand their ``typical" behavior motivates a study of these problems on random instances. In spite of a long and rich history, many natural questions in this domain are still intractable to rigorous mathematical analysis. Graph cut problems such as Max-Cut and Min-bisection are canonical examples in this class. On the other hand, physicists study these questions using the non-rigorous ``replica" and ``cavity" methods, and predict complex, intriguing features. In this talk, I will describe some recent progress in our understanding of their typical properties on random graphs, obtained via connections to the theory of mean-field spin glasses. The new techniques are broadly applicable, and lead to novel algorithmic and statistical consequences.<br />
<br />
=== Dec 7: Leonardo Zepeda-Nunez (Berkeley) ===<br />
<br />
Accelerating ab-initio molecular dynamics via multi-scale neural networks<br />
<br />
Deep learning has rapidly become a large field with an ever-growing range of applications; however, its intersection with scientific computing remains in its infancy, mainly due to the high accuracy that scientific computing problems require, which depends greatly on the architecture of the neural network. <br />
<br />
In this talk we present a novel deep neural network with a multi-scale architecture inspired in H-matrices (and H2-matrices) to efficiently approximate, within 3-4 digits, several challenging non-linear maps arising from the discretization of PDEs, whose evaluation would otherwise require computationally intensive iterative methods. <br />
<br />
In particular, we focus on the notoriously difficult Kohn-Sham map arising from Density Functional Theory (DFT). We show that the proposed multiscale-neural network can efficiently learn this map, thus bypassing an expensive self-consistent field iteration. In addition, we show the application of this methodology to ab-initio molecular dynamics, for which we provide examples for 1D problems and small, albeit realistic, 3D systems. <br />
<br />
Joint work with Y. Fan, J. Feliu-Faaba, L. Lin, W. Jia, and L. Ying<br />
<br />
=== Dec 10: Max Engelstein (MIT) ===<br />
<br />
The role of Energy in Regularity<br />
<br />
The calculus of variations asks us to minimize some energy and then describe the shape/properties of the minimizers. It is perhaps a surprising fact that minimizers to ``nice" energies are more regular than one, a priori, assumes. A useful tool for understanding this phenomenon is the Euler-Lagrange equation, which is a partial differential equation satisfied by the critical points of the energy. <br />
<br />
However, as we teach our calculus students, not every critical point is a minimizer. In this talk we will discuss some techniques to distinguish the behavior of general critical points from that of minimizers. We will then outline how these techniques may be used to solve some central open problems in the field. <br />
<br />
We will then turn the tables, and examine PDEs which look like they should be an Euler-Lagrange equation but for which there is no underlying energy. For some of these PDEs the solutions will regularize (as if there were an underlying energy) for others, pathological behavior can occur.</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Colloquia/Fall18&diff=16707Colloquia/Fall182019-01-24T14:42:32Z<p>Nagreen: /* Abstracts */</p>
<hr />
<div>= Mathematics Colloquium =<br />
<br />
All colloquia are on Fridays at 4:00 pm in Van Vleck B239, '''unless otherwise indicated'''.<br />
<br />
The calendar for spring 2019 can be found [[Colloquia/Spring2019|here]].<br />
<br />
==Spring 2019==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Jan 25<br />
| [http://www.users.miamioh.edu/randrib/ Beata Randrianantoanina] (Miami University Ohio) WIMAW<br />
|[[#Beata Randrianantoanina (Miami University Ohio) | Some nonlinear problems in the geometry of Banach spaces and their applications ]]<br />
| Tullia Dymarz<br />
|<br />
|-<br />
|Jan 30 '''Wednesday'''<br />
| [https://services.math.duke.edu/~pierce/ Lillian Pierce] (Duke University)<br />
|[[#Lillian Pierce (Duke University) | Short character sums ]]<br />
| Boston and Street<br />
|<br />
|-<br />
|Jan 31 '''Thursday'''<br />
| [http://www.math.tamu.edu/~dbaskin/ Dean Baskin] (Texas A&M)<br />
|[[#Dean Baskin (Texas A&M) | Radiation fields for wave equations ]]<br />
| Street<br />
|<br />
|-<br />
|Feb 1<br />
| [https://services.math.duke.edu/~jianfeng/ Jianfeng Lu] (Duke University)<br />
|[[# TBA| TBA ]]<br />
| Qin<br />
|<br />
|-<br />
|Feb 5 '''Tuesday'''<br />
| [http://www.math.tamu.edu/~alexei.poltoratski/ Alexei Poltoratski] (Texas A&M University)<br />
|[[# TBA| TBA ]]<br />
| Denisov<br />
|<br />
|-<br />
|Feb 8<br />
| [https://sites.math.northwestern.edu/~anaber/ Aaron Naber] (Northwestern)<br />
|[[#Aaron Naber (Northwestern) | A structure theory for spaces with lower Ricci curvature bounds ]]<br />
| Street<br />
|<br />
|-<br />
|Feb 15<br />
| <br />
|[[# TBA| TBA ]]<br />
| <br />
|<br />
|-<br />
|Feb 22<br />
| [https://people.math.osu.edu/cueto.5/ Angelica Cueto] (Ohio State)<br />
|[[# TBA| TBA ]]<br />
| Erman and Corey<br />
|<br />
|-<br />
|March 4<br />
| [http://www-users.math.umn.edu/~sverak/ Vladimir Sverak] (Minnesota) Wasow lecture<br />
|[[# TBA| TBA ]]<br />
| Kim<br />
|<br />
|-<br />
|March 8<br />
| [https://orion.math.iastate.edu/jmccullo/index.html Jason McCullough] (Iowa State)<br />
|[[# TBA| TBA ]]<br />
| Erman<br />
|<br />
|-<br />
|March 15<br />
| Maksym Radziwill (Caltech)<br />
|[[# TBA| TBA ]]<br />
| Marshall<br />
|<br />
|-<br />
|March 29<br />
| Jennifer Park (OSU)<br />
|[[# TBA| TBA ]]<br />
| Marshall<br />
|<br />
|-<br />
|April 5<br />
| Ju-Lee Kim (MIT)<br />
|[[# TBA| TBA ]]<br />
| Gurevich<br />
|<br />
|-<br />
|April 12<br />
| Evitar Procaccia (TAMU)<br />
|[[# TBA| TBA ]]<br />
| Gurevich<br />
|<br />
|-<br />
|April 19<br />
| [http://www.math.rice.edu/~jkn3/ Jo Nelson] (Rice University)<br />
|[[# TBA| TBA ]]<br />
| Jean-Luc<br />
|<br />
|-<br />
|April 26<br />
| [https://www.brown.edu/academics/applied-mathematics/faculty/kavita-ramanan/home Kavita Ramanan] (Brown University)<br />
|[[# TBA| TBA ]]<br />
| WIMAW<br />
|<br />
|-<br />
|May 3<br />
| Tomasz Przebinda (Oklahoma)<br />
|[[# TBA| TBA ]]<br />
| Gurevich<br />
|<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
===Beata Randrianantoanina (Miami University Ohio)===<br />
<br />
Title: Some nonlinear problems in the geometry of Banach spaces and their applications.<br />
<br />
Abstract: Nonlinear problems in the geometry of Banach spaces have been studied since the inception of the field. In this talk I will outline some of the history, some of modern applications, and some open directions of research. The talk will be accessible to graduate students of any field of mathematics.<br />
<br />
===Lillian Pierce (Duke University)===<br />
<br />
Title: Short character sums <br />
<br />
Abstract: A surprisingly diverse array of problems in analytic number theory have at their heart a problem of bounding (from above) an exponential sum, or its multiplicative cousin, a so-called character sum. For example, both understanding the Riemann zeta function or Dirichlet L-functions inside the critical strip, and also counting solutions to Diophantine equations via the circle method or power sieve methods, involve bounding such sums. In general, the sums of interest fall into one of two main regimes: complete sums or incomplete sums, with this latter regime including in particular “short sums.” Short sums are particularly useful, and particularly resistant to almost all known methods. In this talk, we will see what makes a sum “short,” sketch why it would be incredibly powerful to understand short sums, and discuss a curious proof from the 1950’s which is still the best way we know to bound short sums. We will end by describing new work which extends the ideas of this curious proof to bound short sums in much more general situations.<br />
<br />
===Dean Baskin (Texas A&M)===<br />
<br />
Title: Radiation fields for wave equations<br />
<br />
Abstract: Radiation fields are rescaled limits of solutions of wave equations near "null infinity" and capture the radiation pattern seen by a distant observer. They are intimately connected with the Fourier and Radon transforms and with scattering theory. In this talk, I will define and discuss radiation fields in a few contexts, with an emphasis on spacetimes that look flat near infinity. The main result is a connection between the asymptotic behavior of the radiation field and a family of quantum objects on an associated asymptotically hyperbolic space.<br />
<br />
===Aaron Naber (Northwestern)===<br />
<br />
Title: A structure theory for spaces with lower Ricci curvature bounds.<br />
<br />
Abstract: One should view manifolds (M^n,g) with lower Ricci curvature bounds as being those manifolds with a well behaved analysis, a point which can be rigorously stated. It thus becomes a natural question, how well behaved or badly behaved can such spaces be? This is a nonlinear analogue to asking how degenerate can a subharmonic or plurisubharmonic function look like. In this talk we give an essentially sharp answer to this question. The talk will require little background, and our time will be spent on understanding the basic statements and examples. The work discussed is joint with Cheeger, Jiang and with Li.<br />
<br />
== Fall 2018 ==<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Sep 12 '''Room 911'''<br />
| [https://sites.math.washington.edu/~gunther/ Gunther Uhlmann] (Univ. of Washington) Distinguished Lecture series<br />
|[[#Sep 12: Gunther Uhlmann (Univ. of Washington)| Harry Potter's Cloak via Transformation Optics ]]<br />
| Li<br />
|<br />
|-<br />
|Sep 14 '''Room 911'''<br />
| [https://sites.math.washington.edu/~gunther/ Gunther Uhlmann] (Univ. of Washington) Distinguished Lecture series<br />
|[[#Sep 14: Gunther Uhlmann (Univ. of Washington) | Journey to the Center of the Earth ]]<br />
| Li<br />
|<br />
|-<br />
|Sep 21 '''Room 911'''<br />
| [http://stuart.caltech.edu/ Andrew Stuart] (Caltech) LAA lecture<br />
|[[#Sep 21: Andrew Stuart (Caltech) | The Legacy of Rudolph Kalman ]]<br />
| Jin<br />
|<br />
|-<br />
|Sep 28<br />
| [https://www.math.cmu.edu/~gautam/sj/index.html Gautam Iyer] (CMU)<br />
|[[#Sep 28: Gautam Iyer (CMU)| Stirring and Mixing ]]<br />
| Thiffeault<br />
|<br />
|-<br />
|Oct 5<br />
| [http://www.personal.psu.edu/eus25/ Eyal Subag] (Penn State)<br />
|[[#Oct 5: Eyal Subag (Penn State)| Symmetries of the hydrogen atom and algebraic families ]]<br />
| Gurevich<br />
|<br />
|-<br />
|Oct 12<br />
| [https://www.math.wisc.edu/~andreic/ Andrei Caldararu] (Madison)<br />
|[[#Oct 12: Andrei Caldararu (Madison) | Mirror symmetry and derived categories ]]<br />
| ...<br />
|<br />
|-<br />
|Oct 19<br />
| [https://teitelbaum.math.uconn.edu/# Jeremy Teitelbaum] (U Connecticut)<br />
|[[#Oct 19: Jeremy Teitelbaum (U Connecticut)| Lessons Learned and New Perspectives: From Dean and Provost to aspiring Data Scientist ]]<br />
| Boston<br />
|<br />
|-<br />
|Oct 26<br />
| [http://math.arizona.edu/~ulmer/index.html Douglas Ulmer] (Arizona)<br />
|[[#Oct 26: Douglas Ulmer (Arizona) | Rational numbers, rational functions, and rational points ]]<br />
| Yang<br />
|<br />
|-<br />
|Nov 2 '''Room 911'''<br />
| [https://sites.google.com/view/ruixiang-zhang/home?authuser=0# Ruixiang Zhang] (Madison)<br />
|[[#Nov 2: Ruixiang Zhang (Madison) | The Fourier extension operator ]]<br />
| <br />
|<br />
|-<br />
|Nov 7 '''Wednesday'''<br />
| [http://math.mit.edu/~lspolaor/ Luca Spolaor] (MIT)<br />
|[[#Nov 7: Luca Spolaor (MIT) | (Log)-Epiperimetric Inequality and the Regularity of Variational Problems ]]<br />
| Feldman<br />
|<br />
|-<br />
|Nov 12 '''Monday'''<br />
| [http://www.math.tamu.edu/~annejls/ Anne Shiu] (Texas A&M)<br />
|[[#Nov 9: Anne Shiu (Texas A&M) | Dynamics of biochemical reaction systems ]]<br />
| Craciun, Stechmann<br />
|<br />
|-<br />
|Nov 19 '''Monday'''<br />
| [https://sites.google.com/site/ayomdin/ Alexander Yom Din] (Caltech) <br />
|[[#Nov 19: Alexander Yom Din (Caltech) | From analysis to algebra to geometry - an example in representation theory of real groups ]]<br />
| Boston, Gurevitch<br />
|<br />
|-<br />
|Nov 20 '''Tuesday, Room 911'''<br />
| [http://http://www.math.uchicago.edu/~drh/ Denis Hirschfeldt] (University of Chicago)<br />
|[[#Nov 20: Denis Hirschfeldt (University of Chicago)| Computability and Ramsey Theory ]]<br />
| Andrews<br />
|<br />
|-<br />
|Nov 26 '''Monday, Room 911'''<br />
| [http://math.mit.edu/directory/profile.php?pid=1415 Vadim Gorin] (MIT)<br />
|[[#Nov 26: Vadim Gorin (MIT)| Macroscopic fluctuations through Schur generating functions ]]<br />
| Anderson<br />
|<br />
|-<br />
|Nov 28 '''Wednesday'''<br />
| [http://www.math.ias.edu/~gchen/ Gao Chen](IAS)<br />
|[[#Nov 28: Gao Chen(IAS) | A Torelli type theorem ]]<br />
| Paul <br />
|<br />
|-<br />
|Nov 30<br />
| [https://math.indiana.edu/about/faculty/fisher-david.html David Fisher](Indiana U.)<br />
|[[#Nov 30: David Fisher (Indiana U.) | New Techniques for Zimmer's Conjecture ]]<br />
| Kent<br />
|-<br />
|Dec 3 '''Monday'''<br />
| [http://bena-tshishiku.squarespace.com/ Bena Tshishiku](Harvard)<br />
|[[#Dec 3: Bena Tshishiku (Harvard)| Surface bundles, monodromy, and arithmetic groups ]]<br />
| Paul<br />
|<br />
|-<br />
|Dec 5 '''Wednesday, Room 911'''<br />
| [http://www.mit.edu/~ssen90/ Subhabrata Sen](MIT and Microsoft Research New England)<br />
|[[#Dec 5: Subhabrata Sen (MIT and Microsoft Research New England) | Random graphs, Optimization, and Spin glasses ]]<br />
| Anderson<br />
|<br />
|-<br />
|Dec 7 '''Room 911'''<br />
| [https://math.berkeley.edu/people/faculty/leonardo-zepeda-n-ez Leonardo Zepeda-Nunez](Berkeley)<br />
|[[#Dec 7: Leonardo Zepeda-Nunez (Berkeley) | Accelerating ab-initio molecular dynamics via multi-scale neural networks ]]<br />
| Stechmann<br />
|<br />
|-<br />
|Dec 10 '''Monday'''<br />
| [http://math.mit.edu/~maxe/ Max Engelstein](MIT)<br />
|[[#Dec 10: Max Engelstein (MIT)| The role of Energy in Regularity ]]<br />
| Feldman<br />
|<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
=== Sep 12: Gunther Uhlmann (Univ. of Washington) ===<br />
Harry Potter's Cloak via Transformation Optics<br />
<br />
Can we make objects invisible? This has been a subject of human<br />
fascination for millennia in Greek mythology, movies, science fiction,<br />
etc. including the legend of Perseus versus Medusa and the more recent<br />
Star Trek and Harry Potter. In the last fifteen years or so there have been<br />
several scientific proposals to achieve invisibility. We will introduce in a non-technical fashion<br />
one of them, the so-called "traansformation optics"<br />
in a non-technical fashion n the so-called that has received the most attention in the<br />
scientific literature.<br />
<br />
=== Sep 14: Gunther Uhlmann (Univ. of Washington) ===<br />
Journey to the Center of the Earth<br />
<br />
We will consider the inverse problem of determining the sound<br />
speed or index of refraction of a medium by measuring the travel times of<br />
waves going through the medium. This problem arises in global seismology<br />
in an attempt to determine the inner structure of the Earth by measuring<br />
travel times of earthquakes. It has also several applications in optics<br />
and medical imaging among others.<br />
<br />
The problem can be recast as a geometric problem: Can one determine the<br />
Riemannian metric of a Riemannian manifold with boundary by measuring<br />
the distance function between boundary points? This is the boundary<br />
rigidity problem. We will also consider the problem of determining<br />
the metric from the scattering relation, the so-called lens rigidity<br />
problem. The linearization of these problems involve the integration<br />
of a tensor along geodesics, similar to the X-ray transform.<br />
<br />
We will also describe some recent results, join with Plamen Stefanov<br />
and Andras Vasy, on the partial data case, where you are making<br />
measurements on a subset of the boundary. No previous knowledge of<br />
Riemannian geometry will be assumed.<br />
<br />
=== Sep 21: Andrew Stuart (Caltech) ===<br />
<br />
The Legacy of Rudolph Kalman<br />
<br />
In 1960 Rudolph Kalman published what is arguably the first paper to develop a systematic, principled approach to the use of data to improve the predictive capability of mathematical models. As our ability to gather data grows at an enormous rate, the importance of this work continues to grow too. The lecture will describe this paper, and developments that have stemmed from it, revolutionizing fields such space-craft control, weather prediction, oceanography and oil recovery, and with potential for use in new fields such as medical imaging and artificial intelligence. Some mathematical details will be also provided, but limited to simple concepts such as optimization, and iteration; the talk is designed to be broadly accessible to anyone with an interest in quantitative science.<br />
<br />
=== Sep 28: Gautam Iyer (CMU) ===<br />
<br />
Stirring and Mixing<br />
<br />
Mixing is something one encounters often in everyday life (e.g. stirring cream into coffee). I will talk about two mathematical<br />
aspects of mixing that arise in the context of fluid dynamics:<br />
<br />
1. How efficiently can stirring "mix"?<br />
<br />
2. What is the interaction between diffusion and mixing.<br />
<br />
Both these aspects are rich in open problems whose resolution involves tools from various different areas. I present a brief survey of existing<br />
results, and talk about a few open problems.<br />
<br />
=== Oct 5: Eyal Subag (Penn State)===<br />
<br />
Symmetries of the hydrogen atom and algebraic families<br />
<br />
The hydrogen atom system is one of the most thoroughly studied examples of a quantum mechanical system. It can be fully solved, and the main reason why is its (hidden) symmetry. In this talk I shall explain how the symmetries of the Schrödinger equation for the hydrogen atom, both visible and hidden, give rise to an example in the recently developed theory of algebraic families of Harish-Chandra modules. I will show how the algebraic structure of these symmetries completely determines the spectrum of the Schrödinger operator and sheds new light on the quantum nature of the system. No prior knowledge on quantum mechanics or representation theory will be assumed.<br />
<br />
=== Oct 12: Andrei Caldararu (Madison)===<br />
<br />
Mirror symmetry and derived categories<br />
<br />
Mirror symmetry is a remarkable phenomenon, first discovered in physics. It relates two seemingly disparate areas of mathematics, symplectic and algebraic geometry. Its initial formulation was rather narrow, as a technique for computing enumerative invariants (so-called Gromov-Witten invariants) of symplectic varieties by solving certain differential equations describing the variation of Hodge structure of “mirror" varieties. Over the past 25 years this narrow view has expanded considerably, largely due to insights of M. Kontsevich who introduced techniques from derived categories into the subject. Nowadays mirror symmetry encompasses wide areas of mathematics, touching on subjects like birational geometry, number theory, homological algebra, etc.<br />
<br />
In my talk I shall survey some of the recent developments in mirror symmetry, and I will explain how my work fits in the general picture. In particular I will describe an example of derived equivalent but not birational Calabi-Yau three folds (joint work with Lev Borisov); and a recent computation of a categorical Gromov-Witten invariant of positive genus (work with my former student Junwu Tu).<br />
<br />
=== Oct 19: Jeremy Teitelbaum (U Connecticut)===<br />
Lessons Learned and New Perspectives:<br />
From Dean and Provost to aspiring Data Scientist<br />
<br />
After more than 10 years in administration, including 9 as Dean of<br />
Arts and Sciences and 1 as interim Provost at UConn, I have returned<br />
to my faculty position. I am spending a year as a visiting scientist<br />
at the Jackson Laboratory for Genomic Medicine (JAX-GM) in Farmington,<br />
Connecticut, trying to get a grip on some of the mathematical problems<br />
of interest to researchers in cancer genomics. In this talk, I will offer some personal<br />
observations about being a mathematician and a high-level administrator, talk a bit about<br />
the research environment at an independent research institute like JAX-GM, outline<br />
a few problems that I've begun to learn about, and conclude with a<br />
discussion of how these experiences have shaped my view of graduate training in mathematics.<br />
<br />
=== Oct 26: Douglas Ulmer (Arizona)===<br />
<br />
Rational numbers, rational functions, and rational points<br />
<br />
One of the central concerns of arithmetic geometry is the study of<br />
solutions of systems of polynomial equations where the solutions are<br />
required to lie in a "small" field such as the rational numbers. I<br />
will explain the landscape of expectations and conjectures in this<br />
area, focusing on curves and their Jacobians over global fields<br />
(number fields and function fields), and then survey the progress made<br />
over the last decade in the function field case. The talk is intended<br />
to be accessible to a wide audience.<br />
<br />
=== Nov 2: Ruixiang Zhang (Madison)===<br />
<br />
The Fourier extension operator<br />
<br />
I will present an integral operator that originated in the study of the Euclidean Fourier transform and is closely related to many problems in PDE, spectral theory, analytic number theory, and combinatorics. I will then introduce some recent developments in harmonic analysis concerning this operator. I will mainly focus on various new ways to "induct on scales" that played an important role in the recent solution in all dimensions to Carleson's a.e. convergence problem on free Schrödinger solutions.<br />
<br />
=== Nov 7: Luca Spolaor (MIT)===<br />
<br />
(Log)-Epiperimetric Inequality and the Regularity of Variational Problems<br />
<br />
In this talk I will present a new method for studying the regularity of minimizers to variational problems. I will start by introducing the notion of blow-up, using as a model case the so-called Obstacle problem. Then I will state the (Log)-epiperimetric inequality and explain how it is used to prove uniqueness of the blow-up and regularity results for the solution near its singular set. I will then show the flexibility of this method by describing how it can be applied to other free-boundary problems and to (almost)-area minimizing currents.<br />
Finally I will describe some future applications of this method both in regularity theory and in other settings.<br />
<br />
=== Nov 9: Anne Shiu (Texas A&M)===<br />
<br />
Dynamics of biochemical reaction systems<br />
<br />
Reaction networks taken with mass-action kinetics arise in many settings, <br />
from epidemiology to population biology to systems of chemical reactions. <br />
This talk focuses on certain biological signaling networks, namely, <br />
phosphorylation networks, and their resulting dynamical systems. For many <br />
of these systems, the set of steady states admits a rational <br />
parametrization (that is, the set is the image of a map with <br />
rational-function coordinates). We describe how such a parametrization <br />
allows us to investigate the dynamics, including the emergence of <br />
bistability in a network underlying ERK regulation, and the capacity for <br />
oscillations in a mixed processive/distributive phosphorylation network.<br />
<br />
=== Nov 19: Alexander Yom Din (Caltech)===<br />
<br />
From analysis to algebra to geometry - an example in representation theory of real groups<br />
<br />
Representation theory of non-compact real groups, such as SL(2,R), is a fundamental discipline with uses in harmonic analysis, number theory, physics, and more. This theory is analytical in nature, but in the course of the 20th century it was algebraized and geometrized (the key contributions are by Harish-Chandra for the former and by Beilinson-Bernstein for the latter). Roughly and generally speaking, algebraization strips layers from the objects of study until we are left with a bare skeleton, amenable to symbolic manipulation. Geometrization, again very roughly, reveals how algebraic objects have secret lives over spaces - thus more amenable to human intuition. In this talk, I will try to motivate and present one example - the calculation of the Casselman-Jacquet module of a principal series representation (I will explain the terms in the talk).<br />
<br />
=== Nov 20: Denis Hirschfeldt (University of Chicago)===<br />
<br />
Computability and Ramsey Theory<br />
<br />
Computability theory can be seen as the study of the fine <br />
structure of definability. Much of its power relies on the deep <br />
connections between definability and computation. These connections can be seen in fundamental results such as Post's Theorem, which establishes a connection between the complexity of formulas needed to define a given set of natural numbers and its computability-theoretic strength. As has become increasingly clear, they can also be seen in the computability-theoretic analysis of objects whose definitions come from notions that arise naturally in combinatorics. The heuristic here is that <br />
computability-theoretically natural notions tend to be combinatorially <br />
natural, and vice-versa. I will discuss some results and open questions in <br />
the computability-theoretic analysis of combinatorial principles, in <br />
particular Ramsey-theoretic ones such as versions of Ramsey's Theorem for colorings of countably infinite sets, and versions of Hindman's Theorem, which states that for every coloring of the natural numbers with finitely many colors, there is an infinite set of numbers such that all nonempty sums of distinct elements of this set have the same color.<br />
<br />
=== Nov 26: Vadim Gorin (MIT)===<br />
<br />
Macroscopic fluctuations through Schur generating functions<br />
<br />
I will talk about a special class of large-dimensional stochastic systems with strong correlations. The main examples will be random tilings, non-colliding random walks, eigenvalues of random matrices, and measures governing decompositions of group representations into irreducible components.<br />
<br />
It is believed that macroscopic fluctuations in such systems are universally described by log-correlated Gaussian fields. I will present an approach to handle this question based on the notion of the Schur generating function of a probability distribution, and explain how it leads to a rigorous confirmation of this belief in a variety of situations.<br />
<br />
=== Nov 28: Gao Chen (IAS) ===<br />
<br />
A Torelli type theorem<br />
<br />
The length of a circle determines the shape of it. In this talk, we will discuss non-trivial generalizations of this fact for Riemann surfaces, hyperkähler 4-manifolds, Calabi-Yau threefolds and G_2, Spin(7) manifolds. <br />
<br />
=== Nov 30: David Fisher (Indiana U.) ===<br />
<br />
New Techniques for Zimmer's Conjecture<br />
<br />
Lattices in higher rank simple Lie groups are known to be<br />
extremely rigid. Examples of this are Margulis' superrigidity theorem,<br />
which shows they have very few linear represenations, and Margulis'<br />
arithmeticity theorem, which shows they are all constructed via number<br />
theory. Motivated by these and other results, in 1983 Zimmer made a<br />
number of conjectures about actions of these groups on compact<br />
manifolds. After providing some history and motivation, I will discuss<br />
a recent result that makes dramatic progress on the conjecture in all<br />
cases and proves it in many of them. I will place some emphasis on<br />
surprising connections to other areas of mathematics that arise in the<br />
proof.<br />
<br />
=== Dec 3: Bena Tshishiku (Harvard) ===<br />
<br />
Surface bundles, monodromy, and arithmetic groups<br />
<br />
Fiber bundles with fiber a surface arise in many areas including hyperbolic geometry, symplectic geometry, and algebraic geometry. Up to isomorphism, a surface bundle is completely determined by its monodromy representation, which is a homomorphism to a mapping class group. This allows one to use algebra to study the topology of surface bundles. Unfortunately, the monodromy representation is typically difficult to ``compute" (e.g. determine its image). In this talk, I will discuss some recent work toward computing monodromy groups for holomorphic surface bundles, including certain examples of Atiyah and Kodaira. This can be applied to the problem of counting the number of ways that certain 4-manifolds fiber over a surface. This is joint work with Nick Salter. <br />
<br />
=== Dec 5: Subhabrata Sen (MIT and Microsoft Research New England) ===<br />
<br />
Random graphs, Optimization, and Spin glasses<br />
<br />
Combinatorial optimization problems are ubiquitous in diverse mathematical applications. The desire to understand their ``typical" behavior motivates a study of these problems on random instances. In spite of a long and rich history, many natural questions in this domain are still intractable to rigorous mathematical analysis. Graph cut problems such as Max-Cut and Min-bisection are canonical examples in this class. On the other hand, physicists study these questions using the non-rigorous ``replica" and ``cavity" methods, and predict complex, intriguing features. In this talk, I will describe some recent progress in our understanding of their typical properties on random graphs, obtained via connections to the theory of mean-field spin glasses. The new techniques are broadly applicable, and lead to novel algorithmic and statistical consequences.<br />
<br />
=== Dec 7: Leonardo Zepeda-Nunez (Berkeley) ===<br />
<br />
Accelerating ab-initio molecular dynamics via multi-scale neural networks<br />
<br />
Deep learning has rapidly become a large field with an ever-growing range of applications; however, its intersection with scientific computing remains in its infancy, mainly due to the high accuracy that scientific computing problems require, which depends greatly on the architecture of the neural network. <br />
<br />
In this talk we present a novel deep neural network with a multi-scale architecture inspired in H-matrices (and H2-matrices) to efficiently approximate, within 3-4 digits, several challenging non-linear maps arising from the discretization of PDEs, whose evaluation would otherwise require computationally intensive iterative methods. <br />
<br />
In particular, we focus on the notoriously difficult Kohn-Sham map arising from Density Functional Theory (DFT). We show that the proposed multiscale-neural network can efficiently learn this map, thus bypassing an expensive self-consistent field iteration. In addition, we show the application of this methodology to ab-initio molecular dynamics, for which we provide examples for 1D problems and small, albeit realistic, 3D systems. <br />
<br />
Joint work with Y. Fan, J. Feliu-Faaba, L. Lin, W. Jia, and L. Ying<br />
<br />
=== Dec 10: Max Engelstein (MIT) ===<br />
<br />
The role of Energy in Regularity<br />
<br />
The calculus of variations asks us to minimize some energy and then describe the shape/properties of the minimizers. It is perhaps a surprising fact that minimizers to ``nice" energies are more regular than one, a priori, assumes. A useful tool for understanding this phenomenon is the Euler-Lagrange equation, which is a partial differential equation satisfied by the critical points of the energy. <br />
<br />
However, as we teach our calculus students, not every critical point is a minimizer. In this talk we will discuss some techniques to distinguish the behavior of general critical points from that of minimizers. We will then outline how these techniques may be used to solve some central open problems in the field. <br />
<br />
We will then turn the tables, and examine PDEs which look like they should be an Euler-Lagrange equation but for which there is no underlying energy. For some of these PDEs the solutions will regularize (as if there were an underlying energy) for others, pathological behavior can occur.<br />
<br />
== Past Colloquia ==<br />
<br />
[[Colloquia/Blank|Blank]]<br />
<br />
[[Colloquia/Fall2018|Fall 2018]]<br />
<br />
[[Colloquia/Spring2018|Spring 2018]]<br />
<br />
[[Colloquia/Fall2017|Fall 2017]]<br />
<br />
[[Colloquia/Spring2017|Spring 2017]]<br />
<br />
[[Archived Fall 2016 Colloquia|Fall 2016]]<br />
<br />
[[Colloquia/Spring2016|Spring 2016]]<br />
<br />
[[Colloquia/Fall2015|Fall 2015]]<br />
<br />
[[Colloquia/Spring2014|Spring 2015]]<br />
<br />
[[Colloquia/Fall2014|Fall 2014]]<br />
<br />
[[Colloquia/Spring2014|Spring 2014]]<br />
<br />
[[Colloquia/Fall2013|Fall 2013]]<br />
<br />
[[Colloquia 2012-2013|Spring 2013]]<br />
<br />
[[Colloquia 2012-2013#Fall 2012|Fall 2012]]</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Colloquia/Fall2018&diff=16706Colloquia/Fall20182019-01-24T14:41:57Z<p>Nagreen: Created page with "== Fall 2018 == {| cellpadding="8" !align="left" | date !align="left" | speaker !align="left" | title !align="left" | host(s) |- |Sep 12 '''Room 911''' | [https://site..."</p>
<hr />
<div>== Fall 2018 ==<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Sep 12 '''Room 911'''<br />
| [https://sites.math.washington.edu/~gunther/ Gunther Uhlmann] (Univ. of Washington) Distinguished Lecture series<br />
|[[#Sep 12: Gunther Uhlmann (Univ. of Washington)| Harry Potter's Cloak via Transformation Optics ]]<br />
| Li<br />
|<br />
|-<br />
|Sep 14 '''Room 911'''<br />
| [https://sites.math.washington.edu/~gunther/ Gunther Uhlmann] (Univ. of Washington) Distinguished Lecture series<br />
|[[#Sep 14: Gunther Uhlmann (Univ. of Washington) | Journey to the Center of the Earth ]]<br />
| Li<br />
|<br />
|-<br />
|Sep 21 '''Room 911'''<br />
| [http://stuart.caltech.edu/ Andrew Stuart] (Caltech) LAA lecture<br />
|[[#Sep 21: Andrew Stuart (Caltech) | The Legacy of Rudolph Kalman ]]<br />
| Jin<br />
|<br />
|-<br />
|Sep 28<br />
| [https://www.math.cmu.edu/~gautam/sj/index.html Gautam Iyer] (CMU)<br />
|[[#Sep 28: Gautam Iyer (CMU)| Stirring and Mixing ]]<br />
| Thiffeault<br />
|<br />
|-<br />
|Oct 5<br />
| [http://www.personal.psu.edu/eus25/ Eyal Subag] (Penn State)<br />
|[[#Oct 5: Eyal Subag (Penn State)| Symmetries of the hydrogen atom and algebraic families ]]<br />
| Gurevich<br />
|<br />
|-<br />
|Oct 12<br />
| [https://www.math.wisc.edu/~andreic/ Andrei Caldararu] (Madison)<br />
|[[#Oct 12: Andrei Caldararu (Madison) | Mirror symmetry and derived categories ]]<br />
| ...<br />
|<br />
|-<br />
|Oct 19<br />
| [https://teitelbaum.math.uconn.edu/# Jeremy Teitelbaum] (U Connecticut)<br />
|[[#Oct 19: Jeremy Teitelbaum (U Connecticut)| Lessons Learned and New Perspectives: From Dean and Provost to aspiring Data Scientist ]]<br />
| Boston<br />
|<br />
|-<br />
|Oct 26<br />
| [http://math.arizona.edu/~ulmer/index.html Douglas Ulmer] (Arizona)<br />
|[[#Oct 26: Douglas Ulmer (Arizona) | Rational numbers, rational functions, and rational points ]]<br />
| Yang<br />
|<br />
|-<br />
|Nov 2 '''Room 911'''<br />
| [https://sites.google.com/view/ruixiang-zhang/home?authuser=0# Ruixiang Zhang] (Madison)<br />
|[[#Nov 2: Ruixiang Zhang (Madison) | The Fourier extension operator ]]<br />
| <br />
|<br />
|-<br />
|Nov 7 '''Wednesday'''<br />
| [http://math.mit.edu/~lspolaor/ Luca Spolaor] (MIT)<br />
|[[#Nov 7: Luca Spolaor (MIT) | (Log)-Epiperimetric Inequality and the Regularity of Variational Problems ]]<br />
| Feldman<br />
|<br />
|-<br />
|Nov 12 '''Monday'''<br />
| [http://www.math.tamu.edu/~annejls/ Anne Shiu] (Texas A&M)<br />
|[[#Nov 9: Anne Shiu (Texas A&M) | Dynamics of biochemical reaction systems ]]<br />
| Craciun, Stechmann<br />
|<br />
|-<br />
|Nov 19 '''Monday'''<br />
| [https://sites.google.com/site/ayomdin/ Alexander Yom Din] (Caltech) <br />
|[[#Nov 19: Alexander Yom Din (Caltech) | From analysis to algebra to geometry - an example in representation theory of real groups ]]<br />
| Boston, Gurevitch<br />
|<br />
|-<br />
|Nov 20 '''Tuesday, Room 911'''<br />
| [http://http://www.math.uchicago.edu/~drh/ Denis Hirschfeldt] (University of Chicago)<br />
|[[#Nov 20: Denis Hirschfeldt (University of Chicago)| Computability and Ramsey Theory ]]<br />
| Andrews<br />
|<br />
|-<br />
|Nov 26 '''Monday, Room 911'''<br />
| [http://math.mit.edu/directory/profile.php?pid=1415 Vadim Gorin] (MIT)<br />
|[[#Nov 26: Vadim Gorin (MIT)| Macroscopic fluctuations through Schur generating functions ]]<br />
| Anderson<br />
|<br />
|-<br />
|Nov 28 '''Wednesday'''<br />
| [http://www.math.ias.edu/~gchen/ Gao Chen](IAS)<br />
|[[#Nov 28: Gao Chen(IAS) | A Torelli type theorem ]]<br />
| Paul <br />
|<br />
|-<br />
|Nov 30<br />
| [https://math.indiana.edu/about/faculty/fisher-david.html David Fisher](Indiana U.)<br />
|[[#Nov 30: David Fisher (Indiana U.) | New Techniques for Zimmer's Conjecture ]]<br />
| Kent<br />
|-<br />
|Dec 3 '''Monday'''<br />
| [http://bena-tshishiku.squarespace.com/ Bena Tshishiku](Harvard)<br />
|[[#Dec 3: Bena Tshishiku (Harvard)| Surface bundles, monodromy, and arithmetic groups ]]<br />
| Paul<br />
|<br />
|-<br />
|Dec 5 '''Wednesday, Room 911'''<br />
| [http://www.mit.edu/~ssen90/ Subhabrata Sen](MIT and Microsoft Research New England)<br />
|[[#Dec 5: Subhabrata Sen (MIT and Microsoft Research New England) | Random graphs, Optimization, and Spin glasses ]]<br />
| Anderson<br />
|<br />
|-<br />
|Dec 7 '''Room 911'''<br />
| [https://math.berkeley.edu/people/faculty/leonardo-zepeda-n-ez Leonardo Zepeda-Nunez](Berkeley)<br />
|[[#Dec 7: Leonardo Zepeda-Nunez (Berkeley) | Accelerating ab-initio molecular dynamics via multi-scale neural networks ]]<br />
| Stechmann<br />
|<br />
|-<br />
|Dec 10 '''Monday'''<br />
| [http://math.mit.edu/~maxe/ Max Engelstein](MIT)<br />
|[[#Dec 10: Max Engelstein (MIT)| The role of Energy in Regularity ]]<br />
| Feldman<br />
|<br />
|}</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Colloquia/Fall18&diff=16705Colloquia/Fall182019-01-24T14:41:29Z<p>Nagreen: /* Past Colloquia */</p>
<hr />
<div>= Mathematics Colloquium =<br />
<br />
All colloquia are on Fridays at 4:00 pm in Van Vleck B239, '''unless otherwise indicated'''.<br />
<br />
The calendar for spring 2019 can be found [[Colloquia/Spring2019|here]].<br />
<br />
==Spring 2019==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Jan 25<br />
| [http://www.users.miamioh.edu/randrib/ Beata Randrianantoanina] (Miami University Ohio) WIMAW<br />
|[[#Beata Randrianantoanina (Miami University Ohio) | Some nonlinear problems in the geometry of Banach spaces and their applications ]]<br />
| Tullia Dymarz<br />
|<br />
|-<br />
|Jan 30 '''Wednesday'''<br />
| [https://services.math.duke.edu/~pierce/ Lillian Pierce] (Duke University)<br />
|[[#Lillian Pierce (Duke University) | Short character sums ]]<br />
| Boston and Street<br />
|<br />
|-<br />
|Jan 31 '''Thursday'''<br />
| [http://www.math.tamu.edu/~dbaskin/ Dean Baskin] (Texas A&M)<br />
|[[#Dean Baskin (Texas A&M) | Radiation fields for wave equations ]]<br />
| Street<br />
|<br />
|-<br />
|Feb 1<br />
| [https://services.math.duke.edu/~jianfeng/ Jianfeng Lu] (Duke University)<br />
|[[# TBA| TBA ]]<br />
| Qin<br />
|<br />
|-<br />
|Feb 5 '''Tuesday'''<br />
| [http://www.math.tamu.edu/~alexei.poltoratski/ Alexei Poltoratski] (Texas A&M University)<br />
|[[# TBA| TBA ]]<br />
| Denisov<br />
|<br />
|-<br />
|Feb 8<br />
| [https://sites.math.northwestern.edu/~anaber/ Aaron Naber] (Northwestern)<br />
|[[#Aaron Naber (Northwestern) | A structure theory for spaces with lower Ricci curvature bounds ]]<br />
| Street<br />
|<br />
|-<br />
|Feb 15<br />
| <br />
|[[# TBA| TBA ]]<br />
| <br />
|<br />
|-<br />
|Feb 22<br />
| [https://people.math.osu.edu/cueto.5/ Angelica Cueto] (Ohio State)<br />
|[[# TBA| TBA ]]<br />
| Erman and Corey<br />
|<br />
|-<br />
|March 4<br />
| [http://www-users.math.umn.edu/~sverak/ Vladimir Sverak] (Minnesota) Wasow lecture<br />
|[[# TBA| TBA ]]<br />
| Kim<br />
|<br />
|-<br />
|March 8<br />
| [https://orion.math.iastate.edu/jmccullo/index.html Jason McCullough] (Iowa State)<br />
|[[# TBA| TBA ]]<br />
| Erman<br />
|<br />
|-<br />
|March 15<br />
| Maksym Radziwill (Caltech)<br />
|[[# TBA| TBA ]]<br />
| Marshall<br />
|<br />
|-<br />
|March 29<br />
| Jennifer Park (OSU)<br />
|[[# TBA| TBA ]]<br />
| Marshall<br />
|<br />
|-<br />
|April 5<br />
| Ju-Lee Kim (MIT)<br />
|[[# TBA| TBA ]]<br />
| Gurevich<br />
|<br />
|-<br />
|April 12<br />
| Evitar Procaccia (TAMU)<br />
|[[# TBA| TBA ]]<br />
| Gurevich<br />
|<br />
|-<br />
|April 19<br />
| [http://www.math.rice.edu/~jkn3/ Jo Nelson] (Rice University)<br />
|[[# TBA| TBA ]]<br />
| Jean-Luc<br />
|<br />
|-<br />
|April 26<br />
| [https://www.brown.edu/academics/applied-mathematics/faculty/kavita-ramanan/home Kavita Ramanan] (Brown University)<br />
|[[# TBA| TBA ]]<br />
| WIMAW<br />
|<br />
|-<br />
|May 3<br />
| Tomasz Przebinda (Oklahoma)<br />
|[[# TBA| TBA ]]<br />
| Gurevich<br />
|<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
===Beata Randrianantoanina (Miami University Ohio)===<br />
<br />
Title: Some nonlinear problems in the geometry of Banach spaces and their applications.<br />
<br />
Abstract: Nonlinear problems in the geometry of Banach spaces have been studied since the inception of the field. In this talk I will outline some of the history, some of modern applications, and some open directions of research. The talk will be accessible to graduate students of any field of mathematics.<br />
<br />
===Lillian Pierce (Duke University)===<br />
<br />
Title: Short character sums <br />
<br />
Abstract: A surprisingly diverse array of problems in analytic number theory have at their heart a problem of bounding (from above) an exponential sum, or its multiplicative cousin, a so-called character sum. For example, both understanding the Riemann zeta function or Dirichlet L-functions inside the critical strip, and also counting solutions to Diophantine equations via the circle method or power sieve methods, involve bounding such sums. In general, the sums of interest fall into one of two main regimes: complete sums or incomplete sums, with this latter regime including in particular “short sums.” Short sums are particularly useful, and particularly resistant to almost all known methods. In this talk, we will see what makes a sum “short,” sketch why it would be incredibly powerful to understand short sums, and discuss a curious proof from the 1950’s which is still the best way we know to bound short sums. We will end by describing new work which extends the ideas of this curious proof to bound short sums in much more general situations.<br />
<br />
===Dean Baskin (Texas A&M)===<br />
<br />
Title: Radiation fields for wave equations<br />
<br />
Abstract: Radiation fields are rescaled limits of solutions of wave equations near "null infinity" and capture the radiation pattern seen by a distant observer. They are intimately connected with the Fourier and Radon transforms and with scattering theory. In this talk, I will define and discuss radiation fields in a few contexts, with an emphasis on spacetimes that look flat near infinity. The main result is a connection between the asymptotic behavior of the radiation field and a family of quantum objects on an associated asymptotically hyperbolic space.<br />
<br />
===Aaron Naber (Northwestern)===<br />
<br />
Title: A structure theory for spaces with lower Ricci curvature bounds.<br />
<br />
Abstract: One should view manifolds (M^n,g) with lower Ricci curvature bounds as being those manifolds with a well behaved analysis, a point which can be rigorously stated. It thus becomes a natural question, how well behaved or badly behaved can such spaces be? This is a nonlinear analogue to asking how degenerate can a subharmonic or plurisubharmonic function look like. In this talk we give an essentially sharp answer to this question. The talk will require little background, and our time will be spent on understanding the basic statements and examples. The work discussed is joint with Cheeger, Jiang and with Li.<br />
<br />
== Fall 2018 ==<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Sep 12 '''Room 911'''<br />
| [https://sites.math.washington.edu/~gunther/ Gunther Uhlmann] (Univ. of Washington) Distinguished Lecture series<br />
|[[#Sep 12: Gunther Uhlmann (Univ. of Washington)| Harry Potter's Cloak via Transformation Optics ]]<br />
| Li<br />
|<br />
|-<br />
|Sep 14 '''Room 911'''<br />
| [https://sites.math.washington.edu/~gunther/ Gunther Uhlmann] (Univ. of Washington) Distinguished Lecture series<br />
|[[#Sep 14: Gunther Uhlmann (Univ. of Washington) | Journey to the Center of the Earth ]]<br />
| Li<br />
|<br />
|-<br />
|Sep 21 '''Room 911'''<br />
| [http://stuart.caltech.edu/ Andrew Stuart] (Caltech) LAA lecture<br />
|[[#Sep 21: Andrew Stuart (Caltech) | The Legacy of Rudolph Kalman ]]<br />
| Jin<br />
|<br />
|-<br />
|Sep 28<br />
| [https://www.math.cmu.edu/~gautam/sj/index.html Gautam Iyer] (CMU)<br />
|[[#Sep 28: Gautam Iyer (CMU)| Stirring and Mixing ]]<br />
| Thiffeault<br />
|<br />
|-<br />
|Oct 5<br />
| [http://www.personal.psu.edu/eus25/ Eyal Subag] (Penn State)<br />
|[[#Oct 5: Eyal Subag (Penn State)| Symmetries of the hydrogen atom and algebraic families ]]<br />
| Gurevich<br />
|<br />
|-<br />
|Oct 12<br />
| [https://www.math.wisc.edu/~andreic/ Andrei Caldararu] (Madison)<br />
|[[#Oct 12: Andrei Caldararu (Madison) | Mirror symmetry and derived categories ]]<br />
| ...<br />
|<br />
|-<br />
|Oct 19<br />
| [https://teitelbaum.math.uconn.edu/# Jeremy Teitelbaum] (U Connecticut)<br />
|[[#Oct 19: Jeremy Teitelbaum (U Connecticut)| Lessons Learned and New Perspectives: From Dean and Provost to aspiring Data Scientist ]]<br />
| Boston<br />
|<br />
|-<br />
|Oct 26<br />
| [http://math.arizona.edu/~ulmer/index.html Douglas Ulmer] (Arizona)<br />
|[[#Oct 26: Douglas Ulmer (Arizona) | Rational numbers, rational functions, and rational points ]]<br />
| Yang<br />
|<br />
|-<br />
|Nov 2 '''Room 911'''<br />
| [https://sites.google.com/view/ruixiang-zhang/home?authuser=0# Ruixiang Zhang] (Madison)<br />
|[[#Nov 2: Ruixiang Zhang (Madison) | The Fourier extension operator ]]<br />
| <br />
|<br />
|-<br />
|Nov 7 '''Wednesday'''<br />
| [http://math.mit.edu/~lspolaor/ Luca Spolaor] (MIT)<br />
|[[#Nov 7: Luca Spolaor (MIT) | (Log)-Epiperimetric Inequality and the Regularity of Variational Problems ]]<br />
| Feldman<br />
|<br />
|-<br />
|Nov 12 '''Monday'''<br />
| [http://www.math.tamu.edu/~annejls/ Anne Shiu] (Texas A&M)<br />
|[[#Nov 9: Anne Shiu (Texas A&M) | Dynamics of biochemical reaction systems ]]<br />
| Craciun, Stechmann<br />
|<br />
|-<br />
|Nov 19 '''Monday'''<br />
| [https://sites.google.com/site/ayomdin/ Alexander Yom Din] (Caltech) <br />
|[[#Nov 19: Alexander Yom Din (Caltech) | From analysis to algebra to geometry - an example in representation theory of real groups ]]<br />
| Boston, Gurevitch<br />
|<br />
|-<br />
|Nov 20 '''Tuesday, Room 911'''<br />
| [http://http://www.math.uchicago.edu/~drh/ Denis Hirschfeldt] (University of Chicago)<br />
|[[#Nov 20: Denis Hirschfeldt (University of Chicago)| Computability and Ramsey Theory ]]<br />
| Andrews<br />
|<br />
|-<br />
|Nov 26 '''Monday, Room 911'''<br />
| [http://math.mit.edu/directory/profile.php?pid=1415 Vadim Gorin] (MIT)<br />
|[[#Nov 26: Vadim Gorin (MIT)| Macroscopic fluctuations through Schur generating functions ]]<br />
| Anderson<br />
|<br />
|-<br />
|Nov 28 '''Wednesday'''<br />
| [http://www.math.ias.edu/~gchen/ Gao Chen](IAS)<br />
|[[#Nov 28: Gao Chen(IAS) | A Torelli type theorem ]]<br />
| Paul <br />
|<br />
|-<br />
|Nov 30<br />
| [https://math.indiana.edu/about/faculty/fisher-david.html David Fisher](Indiana U.)<br />
|[[#Nov 30: David Fisher (Indiana U.) | New Techniques for Zimmer's Conjecture ]]<br />
| Kent<br />
|-<br />
|Dec 3 '''Monday'''<br />
| [http://bena-tshishiku.squarespace.com/ Bena Tshishiku](Harvard)<br />
|[[#Dec 3: Bena Tshishiku (Harvard)| Surface bundles, monodromy, and arithmetic groups ]]<br />
| Paul<br />
|<br />
|-<br />
|Dec 5 '''Wednesday, Room 911'''<br />
| [http://www.mit.edu/~ssen90/ Subhabrata Sen](MIT and Microsoft Research New England)<br />
|[[#Dec 5: Subhabrata Sen (MIT and Microsoft Research New England) | Random graphs, Optimization, and Spin glasses ]]<br />
| Anderson<br />
|<br />
|-<br />
|Dec 7 '''Room 911'''<br />
| [https://math.berkeley.edu/people/faculty/leonardo-zepeda-n-ez Leonardo Zepeda-Nunez](Berkeley)<br />
|[[#Dec 7: Leonardo Zepeda-Nunez (Berkeley) | Accelerating ab-initio molecular dynamics via multi-scale neural networks ]]<br />
| Stechmann<br />
|<br />
|-<br />
|Dec 10 '''Monday'''<br />
| [http://math.mit.edu/~maxe/ Max Engelstein](MIT)<br />
|[[#Dec 10: Max Engelstein (MIT)| The role of Energy in Regularity ]]<br />
| Feldman<br />
|<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
=== Sep 12: Gunther Uhlmann (Univ. of Washington) ===<br />
Harry Potter's Cloak via Transformation Optics<br />
<br />
Can we make objects invisible? This has been a subject of human<br />
fascination for millennia in Greek mythology, movies, science fiction,<br />
etc. including the legend of Perseus versus Medusa and the more recent<br />
Star Trek and Harry Potter. In the last fifteen years or so there have been<br />
several scientific proposals to achieve invisibility. We will introduce in a non-technical fashion<br />
one of them, the so-called "traansformation optics"<br />
in a non-technical fashion n the so-called that has received the most attention in the<br />
scientific literature.<br />
<br />
=== Sep 14: Gunther Uhlmann (Univ. of Washington) ===<br />
Journey to the Center of the Earth<br />
<br />
We will consider the inverse problem of determining the sound<br />
speed or index of refraction of a medium by measuring the travel times of<br />
waves going through the medium. This problem arises in global seismology<br />
in an attempt to determine the inner structure of the Earth by measuring<br />
travel times of earthquakes. It has also several applications in optics<br />
and medical imaging among others.<br />
<br />
The problem can be recast as a geometric problem: Can one determine the<br />
Riemannian metric of a Riemannian manifold with boundary by measuring<br />
the distance function between boundary points? This is the boundary<br />
rigidity problem. We will also consider the problem of determining<br />
the metric from the scattering relation, the so-called lens rigidity<br />
problem. The linearization of these problems involve the integration<br />
of a tensor along geodesics, similar to the X-ray transform.<br />
<br />
We will also describe some recent results, join with Plamen Stefanov<br />
and Andras Vasy, on the partial data case, where you are making<br />
measurements on a subset of the boundary. No previous knowledge of<br />
Riemannian geometry will be assumed.<br />
<br />
=== Sep 21: Andrew Stuart (Caltech) ===<br />
<br />
The Legacy of Rudolph Kalman<br />
<br />
In 1960 Rudolph Kalman published what is arguably the first paper to develop a systematic, principled approach to the use of data to improve the predictive capability of mathematical models. As our ability to gather data grows at an enormous rate, the importance of this work continues to grow too. The lecture will describe this paper, and developments that have stemmed from it, revolutionizing fields such space-craft control, weather prediction, oceanography and oil recovery, and with potential for use in new fields such as medical imaging and artificial intelligence. Some mathematical details will be also provided, but limited to simple concepts such as optimization, and iteration; the talk is designed to be broadly accessible to anyone with an interest in quantitative science.<br />
<br />
=== Sep 28: Gautam Iyer (CMU) ===<br />
<br />
Stirring and Mixing<br />
<br />
Mixing is something one encounters often in everyday life (e.g. stirring cream into coffee). I will talk about two mathematical<br />
aspects of mixing that arise in the context of fluid dynamics:<br />
<br />
1. How efficiently can stirring "mix"?<br />
<br />
2. What is the interaction between diffusion and mixing.<br />
<br />
Both these aspects are rich in open problems whose resolution involves tools from various different areas. I present a brief survey of existing<br />
results, and talk about a few open problems.<br />
<br />
=== Oct 5: Eyal Subag (Penn State)===<br />
<br />
Symmetries of the hydrogen atom and algebraic families<br />
<br />
The hydrogen atom system is one of the most thoroughly studied examples of a quantum mechanical system. It can be fully solved, and the main reason why is its (hidden) symmetry. In this talk I shall explain how the symmetries of the Schrödinger equation for the hydrogen atom, both visible and hidden, give rise to an example in the recently developed theory of algebraic families of Harish-Chandra modules. I will show how the algebraic structure of these symmetries completely determines the spectrum of the Schrödinger operator and sheds new light on the quantum nature of the system. No prior knowledge on quantum mechanics or representation theory will be assumed.<br />
<br />
=== Oct 12: Andrei Caldararu (Madison)===<br />
<br />
Mirror symmetry and derived categories<br />
<br />
Mirror symmetry is a remarkable phenomenon, first discovered in physics. It relates two seemingly disparate areas of mathematics, symplectic and algebraic geometry. Its initial formulation was rather narrow, as a technique for computing enumerative invariants (so-called Gromov-Witten invariants) of symplectic varieties by solving certain differential equations describing the variation of Hodge structure of “mirror" varieties. Over the past 25 years this narrow view has expanded considerably, largely due to insights of M. Kontsevich who introduced techniques from derived categories into the subject. Nowadays mirror symmetry encompasses wide areas of mathematics, touching on subjects like birational geometry, number theory, homological algebra, etc.<br />
<br />
In my talk I shall survey some of the recent developments in mirror symmetry, and I will explain how my work fits in the general picture. In particular I will describe an example of derived equivalent but not birational Calabi-Yau three folds (joint work with Lev Borisov); and a recent computation of a categorical Gromov-Witten invariant of positive genus (work with my former student Junwu Tu).<br />
<br />
=== Oct 19: Jeremy Teitelbaum (U Connecticut)===<br />
Lessons Learned and New Perspectives:<br />
From Dean and Provost to aspiring Data Scientist<br />
<br />
After more than 10 years in administration, including 9 as Dean of<br />
Arts and Sciences and 1 as interim Provost at UConn, I have returned<br />
to my faculty position. I am spending a year as a visiting scientist<br />
at the Jackson Laboratory for Genomic Medicine (JAX-GM) in Farmington,<br />
Connecticut, trying to get a grip on some of the mathematical problems<br />
of interest to researchers in cancer genomics. In this talk, I will offer some personal<br />
observations about being a mathematician and a high-level administrator, talk a bit about<br />
the research environment at an independent research institute like JAX-GM, outline<br />
a few problems that I've begun to learn about, and conclude with a<br />
discussion of how these experiences have shaped my view of graduate training in mathematics.<br />
<br />
=== Oct 26: Douglas Ulmer (Arizona)===<br />
<br />
Rational numbers, rational functions, and rational points<br />
<br />
One of the central concerns of arithmetic geometry is the study of<br />
solutions of systems of polynomial equations where the solutions are<br />
required to lie in a "small" field such as the rational numbers. I<br />
will explain the landscape of expectations and conjectures in this<br />
area, focusing on curves and their Jacobians over global fields<br />
(number fields and function fields), and then survey the progress made<br />
over the last decade in the function field case. The talk is intended<br />
to be accessible to a wide audience.<br />
<br />
=== Nov 2: Ruixiang Zhang (Madison)===<br />
<br />
The Fourier extension operator<br />
<br />
I will present an integral operator that originated in the study of the Euclidean Fourier transform and is closely related to many problems in PDE, spectral theory, analytic number theory, and combinatorics. I will then introduce some recent developments in harmonic analysis concerning this operator. I will mainly focus on various new ways to "induct on scales" that played an important role in the recent solution in all dimensions to Carleson's a.e. convergence problem on free Schrödinger solutions.<br />
<br />
=== Nov 7: Luca Spolaor (MIT)===<br />
<br />
(Log)-Epiperimetric Inequality and the Regularity of Variational Problems<br />
<br />
In this talk I will present a new method for studying the regularity of minimizers to variational problems. I will start by introducing the notion of blow-up, using as a model case the so-called Obstacle problem. Then I will state the (Log)-epiperimetric inequality and explain how it is used to prove uniqueness of the blow-up and regularity results for the solution near its singular set. I will then show the flexibility of this method by describing how it can be applied to other free-boundary problems and to (almost)-area minimizing currents.<br />
Finally I will describe some future applications of this method both in regularity theory and in other settings.<br />
<br />
=== Nov 9: Anne Shiu (Texas A&M)===<br />
<br />
Dynamics of biochemical reaction systems<br />
<br />
Reaction networks taken with mass-action kinetics arise in many settings, <br />
from epidemiology to population biology to systems of chemical reactions. <br />
This talk focuses on certain biological signaling networks, namely, <br />
phosphorylation networks, and their resulting dynamical systems. For many <br />
of these systems, the set of steady states admits a rational <br />
parametrization (that is, the set is the image of a map with <br />
rational-function coordinates). We describe how such a parametrization <br />
allows us to investigate the dynamics, including the emergence of <br />
bistability in a network underlying ERK regulation, and the capacity for <br />
oscillations in a mixed processive/distributive phosphorylation network.<br />
<br />
=== Nov 19: Alexander Yom Din (Caltech)===<br />
<br />
From analysis to algebra to geometry - an example in representation theory of real groups<br />
<br />
Representation theory of non-compact real groups, such as SL(2,R), is a fundamental discipline with uses in harmonic analysis, number theory, physics, and more. This theory is analytical in nature, but in the course of the 20th century it was algebraized and geometrized (the key contributions are by Harish-Chandra for the former and by Beilinson-Bernstein for the latter). Roughly and generally speaking, algebraization strips layers from the objects of study until we are left with a bare skeleton, amenable to symbolic manipulation. Geometrization, again very roughly, reveals how algebraic objects have secret lives over spaces - thus more amenable to human intuition. In this talk, I will try to motivate and present one example - the calculation of the Casselman-Jacquet module of a principal series representation (I will explain the terms in the talk).<br />
<br />
=== Nov 20: Denis Hirschfeldt (University of Chicago)===<br />
<br />
Computability and Ramsey Theory<br />
<br />
Computability theory can be seen as the study of the fine <br />
structure of definability. Much of its power relies on the deep <br />
connections between definability and computation. These connections can be seen in fundamental results such as Post's Theorem, which establishes a connection between the complexity of formulas needed to define a given set of natural numbers and its computability-theoretic strength. As has become increasingly clear, they can also be seen in the computability-theoretic analysis of objects whose definitions come from notions that arise naturally in combinatorics. The heuristic here is that <br />
computability-theoretically natural notions tend to be combinatorially <br />
natural, and vice-versa. I will discuss some results and open questions in <br />
the computability-theoretic analysis of combinatorial principles, in <br />
particular Ramsey-theoretic ones such as versions of Ramsey's Theorem for colorings of countably infinite sets, and versions of Hindman's Theorem, which states that for every coloring of the natural numbers with finitely many colors, there is an infinite set of numbers such that all nonempty sums of distinct elements of this set have the same color.<br />
<br />
=== Nov 26: Vadim Gorin (MIT)===<br />
<br />
Macroscopic fluctuations through Schur generating functions<br />
<br />
I will talk about a special class of large-dimensional stochastic systems with strong correlations. The main examples will be random tilings, non-colliding random walks, eigenvalues of random matrices, and measures governing decompositions of group representations into irreducible components.<br />
<br />
It is believed that macroscopic fluctuations in such systems are universally described by log-correlated Gaussian fields. I will present an approach to handle this question based on the notion of the Schur generating function of a probability distribution, and explain how it leads to a rigorous confirmation of this belief in a variety of situations.<br />
<br />
=== Nov 28: Gao Chen (IAS) ===<br />
<br />
A Torelli type theorem<br />
<br />
The length of a circle determines the shape of it. In this talk, we will discuss non-trivial generalizations of this fact for Riemann surfaces, hyperkähler 4-manifolds, Calabi-Yau threefolds and G_2, Spin(7) manifolds. <br />
<br />
=== Nov 30: David Fisher (Indiana U.) ===<br />
<br />
New Techniques for Zimmer's Conjecture<br />
<br />
Lattices in higher rank simple Lie groups are known to be<br />
extremely rigid. Examples of this are Margulis' superrigidity theorem,<br />
which shows they have very few linear represenations, and Margulis'<br />
arithmeticity theorem, which shows they are all constructed via number<br />
theory. Motivated by these and other results, in 1983 Zimmer made a<br />
number of conjectures about actions of these groups on compact<br />
manifolds. After providing some history and motivation, I will discuss<br />
a recent result that makes dramatic progress on the conjecture in all<br />
cases and proves it in many of them. I will place some emphasis on<br />
surprising connections to other areas of mathematics that arise in the<br />
proof.<br />
<br />
=== Dec 3: Bena Tshishiku (Harvard) ===<br />
<br />
Surface bundles, monodromy, and arithmetic groups<br />
<br />
Fiber bundles with fiber a surface arise in many areas including hyperbolic geometry, symplectic geometry, and algebraic geometry. Up to isomorphism, a surface bundle is completely determined by its monodromy representation, which is a homomorphism to a mapping class group. This allows one to use algebra to study the topology of surface bundles. Unfortunately, the monodromy representation is typically difficult to ``compute" (e.g. determine its image). In this talk, I will discuss some recent work toward computing monodromy groups for holomorphic surface bundles, including certain examples of Atiyah and Kodaira. This can be applied to the problem of counting the number of ways that certain 4-manifolds fiber over a surface. This is joint work with Nick Salter. <br />
<br />
=== Dec 5: Subhabrata Sen (MIT and Microsoft Research New England) ===<br />
<br />
Random graphs, Optimization, and Spin glasses<br />
<br />
Combinatorial optimization problems are ubiquitous in diverse mathematical applications. The desire to understand their ``typical" behavior motivates a study of these problems on random instances. In spite of a long and rich history, many natural questions in this domain are still intractable to rigorous mathematical analysis. Graph cut problems such as Max-Cut and Min-bisection are canonical examples in this class. On the other hand, physicists study these questions using the non-rigorous ``replica" and ``cavity" methods, and predict complex, intriguing features. In this talk, I will describe some recent progress in our understanding of their typical properties on random graphs, obtained via connections to the theory of mean-field spin glasses. The new techniques are broadly applicable, and lead to novel algorithmic and statistical consequences.<br />
<br />
=== Dec 7: Leonardo Zepeda-Nunez (Berkeley) ===<br />
<br />
Accelerating ab-initio molecular dynamics via multi-scale neural networks<br />
<br />
Deep learning has rapidly become a large field with an ever-growing range of applications; however, its intersection with scientific computing remains in its infancy, mainly due to the high accuracy that scientific computing problems require, which depends greatly on the architecture of the neural network. <br />
<br />
In this talk we present a novel deep neural network with a multi-scale architecture inspired in H-matrices (and H2-matrices) to efficiently approximate, within 3-4 digits, several challenging non-linear maps arising from the discretization of PDEs, whose evaluation would otherwise require computationally intensive iterative methods. <br />
<br />
In particular, we focus on the notoriously difficult Kohn-Sham map arising from Density Functional Theory (DFT). We show that the proposed multiscale-neural network can efficiently learn this map, thus bypassing an expensive self-consistent field iteration. In addition, we show the application of this methodology to ab-initio molecular dynamics, for which we provide examples for 1D problems and small, albeit realistic, 3D systems. <br />
<br />
Joint work with Y. Fan, J. Feliu-Faaba, L. Lin, W. Jia, and L. Ying<br />
<br />
=== Dec 10: Max Engelstein (MIT) ===<br />
<br />
The role of Energy in Regularity<br />
<br />
The calculus of variations asks us to minimize some energy and then describe the shape/properties of the minimizers. It is perhaps a surprising fact that minimizers to ``nice" energies are more regular than one, a priori, assumes. A useful tool for understanding this phenomenon is the Euler-Lagrange equation, which is a partial differential equation satisfied by the critical points of the energy. <br />
<br />
However, as we teach our calculus students, not every critical point is a minimizer. In this talk we will discuss some techniques to distinguish the behavior of general critical points from that of minimizers. We will then outline how these techniques may be used to solve some central open problems in the field. <br />
<br />
We will then turn the tables, and examine PDEs which look like they should be an Euler-Lagrange equation but for which there is no underlying energy. For some of these PDEs the solutions will regularize (as if there were an underlying energy) for others, pathological behavior can occur. <br />
<br />
== Past Colloquia ==<br />
<br />
[[Colloquia/Blank|Blank]]<br />
<br />
[[Colloquia/Fall2018|Fall 2018]]<br />
<br />
[[Colloquia/Spring2018|Spring 2018]]<br />
<br />
[[Colloquia/Fall2017|Fall 2017]]<br />
<br />
[[Colloquia/Spring2017|Spring 2017]]<br />
<br />
[[Archived Fall 2016 Colloquia|Fall 2016]]<br />
<br />
[[Colloquia/Spring2016|Spring 2016]]<br />
<br />
[[Colloquia/Fall2015|Fall 2015]]<br />
<br />
[[Colloquia/Spring2014|Spring 2015]]<br />
<br />
[[Colloquia/Fall2014|Fall 2014]]<br />
<br />
[[Colloquia/Spring2014|Spring 2014]]<br />
<br />
[[Colloquia/Fall2013|Fall 2013]]<br />
<br />
[[Colloquia 2012-2013|Spring 2013]]<br />
<br />
[[Colloquia 2012-2013#Fall 2012|Fall 2012]]</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Colloquia/Fall18&diff=16704Colloquia/Fall182019-01-24T14:40:56Z<p>Nagreen: /* Spring 2019 */</p>
<hr />
<div>= Mathematics Colloquium =<br />
<br />
All colloquia are on Fridays at 4:00 pm in Van Vleck B239, '''unless otherwise indicated'''.<br />
<br />
The calendar for spring 2019 can be found [[Colloquia/Spring2019|here]].<br />
<br />
==Spring 2019==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Jan 25<br />
| [http://www.users.miamioh.edu/randrib/ Beata Randrianantoanina] (Miami University Ohio) WIMAW<br />
|[[#Beata Randrianantoanina (Miami University Ohio) | Some nonlinear problems in the geometry of Banach spaces and their applications ]]<br />
| Tullia Dymarz<br />
|<br />
|-<br />
|Jan 30 '''Wednesday'''<br />
| [https://services.math.duke.edu/~pierce/ Lillian Pierce] (Duke University)<br />
|[[#Lillian Pierce (Duke University) | Short character sums ]]<br />
| Boston and Street<br />
|<br />
|-<br />
|Jan 31 '''Thursday'''<br />
| [http://www.math.tamu.edu/~dbaskin/ Dean Baskin] (Texas A&M)<br />
|[[#Dean Baskin (Texas A&M) | Radiation fields for wave equations ]]<br />
| Street<br />
|<br />
|-<br />
|Feb 1<br />
| [https://services.math.duke.edu/~jianfeng/ Jianfeng Lu] (Duke University)<br />
|[[# TBA| TBA ]]<br />
| Qin<br />
|<br />
|-<br />
|Feb 5 '''Tuesday'''<br />
| [http://www.math.tamu.edu/~alexei.poltoratski/ Alexei Poltoratski] (Texas A&M University)<br />
|[[# TBA| TBA ]]<br />
| Denisov<br />
|<br />
|-<br />
|Feb 8<br />
| [https://sites.math.northwestern.edu/~anaber/ Aaron Naber] (Northwestern)<br />
|[[#Aaron Naber (Northwestern) | A structure theory for spaces with lower Ricci curvature bounds ]]<br />
| Street<br />
|<br />
|-<br />
|Feb 15<br />
| <br />
|[[# TBA| TBA ]]<br />
| <br />
|<br />
|-<br />
|Feb 22<br />
| [https://people.math.osu.edu/cueto.5/ Angelica Cueto] (Ohio State)<br />
|[[# TBA| TBA ]]<br />
| Erman and Corey<br />
|<br />
|-<br />
|March 4<br />
| [http://www-users.math.umn.edu/~sverak/ Vladimir Sverak] (Minnesota) Wasow lecture<br />
|[[# TBA| TBA ]]<br />
| Kim<br />
|<br />
|-<br />
|March 8<br />
| [https://orion.math.iastate.edu/jmccullo/index.html Jason McCullough] (Iowa State)<br />
|[[# TBA| TBA ]]<br />
| Erman<br />
|<br />
|-<br />
|March 15<br />
| Maksym Radziwill (Caltech)<br />
|[[# TBA| TBA ]]<br />
| Marshall<br />
|<br />
|-<br />
|March 29<br />
| Jennifer Park (OSU)<br />
|[[# TBA| TBA ]]<br />
| Marshall<br />
|<br />
|-<br />
|April 5<br />
| Ju-Lee Kim (MIT)<br />
|[[# TBA| TBA ]]<br />
| Gurevich<br />
|<br />
|-<br />
|April 12<br />
| Evitar Procaccia (TAMU)<br />
|[[# TBA| TBA ]]<br />
| Gurevich<br />
|<br />
|-<br />
|April 19<br />
| [http://www.math.rice.edu/~jkn3/ Jo Nelson] (Rice University)<br />
|[[# TBA| TBA ]]<br />
| Jean-Luc<br />
|<br />
|-<br />
|April 26<br />
| [https://www.brown.edu/academics/applied-mathematics/faculty/kavita-ramanan/home Kavita Ramanan] (Brown University)<br />
|[[# TBA| TBA ]]<br />
| WIMAW<br />
|<br />
|-<br />
|May 3<br />
| Tomasz Przebinda (Oklahoma)<br />
|[[# TBA| TBA ]]<br />
| Gurevich<br />
|<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
===Beata Randrianantoanina (Miami University Ohio)===<br />
<br />
Title: Some nonlinear problems in the geometry of Banach spaces and their applications.<br />
<br />
Abstract: Nonlinear problems in the geometry of Banach spaces have been studied since the inception of the field. In this talk I will outline some of the history, some of modern applications, and some open directions of research. The talk will be accessible to graduate students of any field of mathematics.<br />
<br />
===Lillian Pierce (Duke University)===<br />
<br />
Title: Short character sums <br />
<br />
Abstract: A surprisingly diverse array of problems in analytic number theory have at their heart a problem of bounding (from above) an exponential sum, or its multiplicative cousin, a so-called character sum. For example, both understanding the Riemann zeta function or Dirichlet L-functions inside the critical strip, and also counting solutions to Diophantine equations via the circle method or power sieve methods, involve bounding such sums. In general, the sums of interest fall into one of two main regimes: complete sums or incomplete sums, with this latter regime including in particular “short sums.” Short sums are particularly useful, and particularly resistant to almost all known methods. In this talk, we will see what makes a sum “short,” sketch why it would be incredibly powerful to understand short sums, and discuss a curious proof from the 1950’s which is still the best way we know to bound short sums. We will end by describing new work which extends the ideas of this curious proof to bound short sums in much more general situations.<br />
<br />
===Dean Baskin (Texas A&M)===<br />
<br />
Title: Radiation fields for wave equations<br />
<br />
Abstract: Radiation fields are rescaled limits of solutions of wave equations near "null infinity" and capture the radiation pattern seen by a distant observer. They are intimately connected with the Fourier and Radon transforms and with scattering theory. In this talk, I will define and discuss radiation fields in a few contexts, with an emphasis on spacetimes that look flat near infinity. The main result is a connection between the asymptotic behavior of the radiation field and a family of quantum objects on an associated asymptotically hyperbolic space.<br />
<br />
===Aaron Naber (Northwestern)===<br />
<br />
Title: A structure theory for spaces with lower Ricci curvature bounds.<br />
<br />
Abstract: One should view manifolds (M^n,g) with lower Ricci curvature bounds as being those manifolds with a well behaved analysis, a point which can be rigorously stated. It thus becomes a natural question, how well behaved or badly behaved can such spaces be? This is a nonlinear analogue to asking how degenerate can a subharmonic or plurisubharmonic function look like. In this talk we give an essentially sharp answer to this question. The talk will require little background, and our time will be spent on understanding the basic statements and examples. The work discussed is joint with Cheeger, Jiang and with Li.<br />
<br />
== Fall 2018 ==<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Sep 12 '''Room 911'''<br />
| [https://sites.math.washington.edu/~gunther/ Gunther Uhlmann] (Univ. of Washington) Distinguished Lecture series<br />
|[[#Sep 12: Gunther Uhlmann (Univ. of Washington)| Harry Potter's Cloak via Transformation Optics ]]<br />
| Li<br />
|<br />
|-<br />
|Sep 14 '''Room 911'''<br />
| [https://sites.math.washington.edu/~gunther/ Gunther Uhlmann] (Univ. of Washington) Distinguished Lecture series<br />
|[[#Sep 14: Gunther Uhlmann (Univ. of Washington) | Journey to the Center of the Earth ]]<br />
| Li<br />
|<br />
|-<br />
|Sep 21 '''Room 911'''<br />
| [http://stuart.caltech.edu/ Andrew Stuart] (Caltech) LAA lecture<br />
|[[#Sep 21: Andrew Stuart (Caltech) | The Legacy of Rudolph Kalman ]]<br />
| Jin<br />
|<br />
|-<br />
|Sep 28<br />
| [https://www.math.cmu.edu/~gautam/sj/index.html Gautam Iyer] (CMU)<br />
|[[#Sep 28: Gautam Iyer (CMU)| Stirring and Mixing ]]<br />
| Thiffeault<br />
|<br />
|-<br />
|Oct 5<br />
| [http://www.personal.psu.edu/eus25/ Eyal Subag] (Penn State)<br />
|[[#Oct 5: Eyal Subag (Penn State)| Symmetries of the hydrogen atom and algebraic families ]]<br />
| Gurevich<br />
|<br />
|-<br />
|Oct 12<br />
| [https://www.math.wisc.edu/~andreic/ Andrei Caldararu] (Madison)<br />
|[[#Oct 12: Andrei Caldararu (Madison) | Mirror symmetry and derived categories ]]<br />
| ...<br />
|<br />
|-<br />
|Oct 19<br />
| [https://teitelbaum.math.uconn.edu/# Jeremy Teitelbaum] (U Connecticut)<br />
|[[#Oct 19: Jeremy Teitelbaum (U Connecticut)| Lessons Learned and New Perspectives: From Dean and Provost to aspiring Data Scientist ]]<br />
| Boston<br />
|<br />
|-<br />
|Oct 26<br />
| [http://math.arizona.edu/~ulmer/index.html Douglas Ulmer] (Arizona)<br />
|[[#Oct 26: Douglas Ulmer (Arizona) | Rational numbers, rational functions, and rational points ]]<br />
| Yang<br />
|<br />
|-<br />
|Nov 2 '''Room 911'''<br />
| [https://sites.google.com/view/ruixiang-zhang/home?authuser=0# Ruixiang Zhang] (Madison)<br />
|[[#Nov 2: Ruixiang Zhang (Madison) | The Fourier extension operator ]]<br />
| <br />
|<br />
|-<br />
|Nov 7 '''Wednesday'''<br />
| [http://math.mit.edu/~lspolaor/ Luca Spolaor] (MIT)<br />
|[[#Nov 7: Luca Spolaor (MIT) | (Log)-Epiperimetric Inequality and the Regularity of Variational Problems ]]<br />
| Feldman<br />
|<br />
|-<br />
|Nov 12 '''Monday'''<br />
| [http://www.math.tamu.edu/~annejls/ Anne Shiu] (Texas A&M)<br />
|[[#Nov 9: Anne Shiu (Texas A&M) | Dynamics of biochemical reaction systems ]]<br />
| Craciun, Stechmann<br />
|<br />
|-<br />
|Nov 19 '''Monday'''<br />
| [https://sites.google.com/site/ayomdin/ Alexander Yom Din] (Caltech) <br />
|[[#Nov 19: Alexander Yom Din (Caltech) | From analysis to algebra to geometry - an example in representation theory of real groups ]]<br />
| Boston, Gurevitch<br />
|<br />
|-<br />
|Nov 20 '''Tuesday, Room 911'''<br />
| [http://http://www.math.uchicago.edu/~drh/ Denis Hirschfeldt] (University of Chicago)<br />
|[[#Nov 20: Denis Hirschfeldt (University of Chicago)| Computability and Ramsey Theory ]]<br />
| Andrews<br />
|<br />
|-<br />
|Nov 26 '''Monday, Room 911'''<br />
| [http://math.mit.edu/directory/profile.php?pid=1415 Vadim Gorin] (MIT)<br />
|[[#Nov 26: Vadim Gorin (MIT)| Macroscopic fluctuations through Schur generating functions ]]<br />
| Anderson<br />
|<br />
|-<br />
|Nov 28 '''Wednesday'''<br />
| [http://www.math.ias.edu/~gchen/ Gao Chen](IAS)<br />
|[[#Nov 28: Gao Chen(IAS) | A Torelli type theorem ]]<br />
| Paul <br />
|<br />
|-<br />
|Nov 30<br />
| [https://math.indiana.edu/about/faculty/fisher-david.html David Fisher](Indiana U.)<br />
|[[#Nov 30: David Fisher (Indiana U.) | New Techniques for Zimmer's Conjecture ]]<br />
| Kent<br />
|-<br />
|Dec 3 '''Monday'''<br />
| [http://bena-tshishiku.squarespace.com/ Bena Tshishiku](Harvard)<br />
|[[#Dec 3: Bena Tshishiku (Harvard)| Surface bundles, monodromy, and arithmetic groups ]]<br />
| Paul<br />
|<br />
|-<br />
|Dec 5 '''Wednesday, Room 911'''<br />
| [http://www.mit.edu/~ssen90/ Subhabrata Sen](MIT and Microsoft Research New England)<br />
|[[#Dec 5: Subhabrata Sen (MIT and Microsoft Research New England) | Random graphs, Optimization, and Spin glasses ]]<br />
| Anderson<br />
|<br />
|-<br />
|Dec 7 '''Room 911'''<br />
| [https://math.berkeley.edu/people/faculty/leonardo-zepeda-n-ez Leonardo Zepeda-Nunez](Berkeley)<br />
|[[#Dec 7: Leonardo Zepeda-Nunez (Berkeley) | Accelerating ab-initio molecular dynamics via multi-scale neural networks ]]<br />
| Stechmann<br />
|<br />
|-<br />
|Dec 10 '''Monday'''<br />
| [http://math.mit.edu/~maxe/ Max Engelstein](MIT)<br />
|[[#Dec 10: Max Engelstein (MIT)| The role of Energy in Regularity ]]<br />
| Feldman<br />
|<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
=== Sep 12: Gunther Uhlmann (Univ. of Washington) ===<br />
Harry Potter's Cloak via Transformation Optics<br />
<br />
Can we make objects invisible? This has been a subject of human<br />
fascination for millennia in Greek mythology, movies, science fiction,<br />
etc. including the legend of Perseus versus Medusa and the more recent<br />
Star Trek and Harry Potter. In the last fifteen years or so there have been<br />
several scientific proposals to achieve invisibility. We will introduce in a non-technical fashion<br />
one of them, the so-called "traansformation optics"<br />
in a non-technical fashion n the so-called that has received the most attention in the<br />
scientific literature.<br />
<br />
=== Sep 14: Gunther Uhlmann (Univ. of Washington) ===<br />
Journey to the Center of the Earth<br />
<br />
We will consider the inverse problem of determining the sound<br />
speed or index of refraction of a medium by measuring the travel times of<br />
waves going through the medium. This problem arises in global seismology<br />
in an attempt to determine the inner structure of the Earth by measuring<br />
travel times of earthquakes. It has also several applications in optics<br />
and medical imaging among others.<br />
<br />
The problem can be recast as a geometric problem: Can one determine the<br />
Riemannian metric of a Riemannian manifold with boundary by measuring<br />
the distance function between boundary points? This is the boundary<br />
rigidity problem. We will also consider the problem of determining<br />
the metric from the scattering relation, the so-called lens rigidity<br />
problem. The linearization of these problems involve the integration<br />
of a tensor along geodesics, similar to the X-ray transform.<br />
<br />
We will also describe some recent results, join with Plamen Stefanov<br />
and Andras Vasy, on the partial data case, where you are making<br />
measurements on a subset of the boundary. No previous knowledge of<br />
Riemannian geometry will be assumed.<br />
<br />
=== Sep 21: Andrew Stuart (Caltech) ===<br />
<br />
The Legacy of Rudolph Kalman<br />
<br />
In 1960 Rudolph Kalman published what is arguably the first paper to develop a systematic, principled approach to the use of data to improve the predictive capability of mathematical models. As our ability to gather data grows at an enormous rate, the importance of this work continues to grow too. The lecture will describe this paper, and developments that have stemmed from it, revolutionizing fields such space-craft control, weather prediction, oceanography and oil recovery, and with potential for use in new fields such as medical imaging and artificial intelligence. Some mathematical details will be also provided, but limited to simple concepts such as optimization, and iteration; the talk is designed to be broadly accessible to anyone with an interest in quantitative science.<br />
<br />
=== Sep 28: Gautam Iyer (CMU) ===<br />
<br />
Stirring and Mixing<br />
<br />
Mixing is something one encounters often in everyday life (e.g. stirring cream into coffee). I will talk about two mathematical<br />
aspects of mixing that arise in the context of fluid dynamics:<br />
<br />
1. How efficiently can stirring "mix"?<br />
<br />
2. What is the interaction between diffusion and mixing.<br />
<br />
Both these aspects are rich in open problems whose resolution involves tools from various different areas. I present a brief survey of existing<br />
results, and talk about a few open problems.<br />
<br />
=== Oct 5: Eyal Subag (Penn State)===<br />
<br />
Symmetries of the hydrogen atom and algebraic families<br />
<br />
The hydrogen atom system is one of the most thoroughly studied examples of a quantum mechanical system. It can be fully solved, and the main reason why is its (hidden) symmetry. In this talk I shall explain how the symmetries of the Schrödinger equation for the hydrogen atom, both visible and hidden, give rise to an example in the recently developed theory of algebraic families of Harish-Chandra modules. I will show how the algebraic structure of these symmetries completely determines the spectrum of the Schrödinger operator and sheds new light on the quantum nature of the system. No prior knowledge on quantum mechanics or representation theory will be assumed.<br />
<br />
=== Oct 12: Andrei Caldararu (Madison)===<br />
<br />
Mirror symmetry and derived categories<br />
<br />
Mirror symmetry is a remarkable phenomenon, first discovered in physics. It relates two seemingly disparate areas of mathematics, symplectic and algebraic geometry. Its initial formulation was rather narrow, as a technique for computing enumerative invariants (so-called Gromov-Witten invariants) of symplectic varieties by solving certain differential equations describing the variation of Hodge structure of “mirror" varieties. Over the past 25 years this narrow view has expanded considerably, largely due to insights of M. Kontsevich who introduced techniques from derived categories into the subject. Nowadays mirror symmetry encompasses wide areas of mathematics, touching on subjects like birational geometry, number theory, homological algebra, etc.<br />
<br />
In my talk I shall survey some of the recent developments in mirror symmetry, and I will explain how my work fits in the general picture. In particular I will describe an example of derived equivalent but not birational Calabi-Yau three folds (joint work with Lev Borisov); and a recent computation of a categorical Gromov-Witten invariant of positive genus (work with my former student Junwu Tu).<br />
<br />
=== Oct 19: Jeremy Teitelbaum (U Connecticut)===<br />
Lessons Learned and New Perspectives:<br />
From Dean and Provost to aspiring Data Scientist<br />
<br />
After more than 10 years in administration, including 9 as Dean of<br />
Arts and Sciences and 1 as interim Provost at UConn, I have returned<br />
to my faculty position. I am spending a year as a visiting scientist<br />
at the Jackson Laboratory for Genomic Medicine (JAX-GM) in Farmington,<br />
Connecticut, trying to get a grip on some of the mathematical problems<br />
of interest to researchers in cancer genomics. In this talk, I will offer some personal<br />
observations about being a mathematician and a high-level administrator, talk a bit about<br />
the research environment at an independent research institute like JAX-GM, outline<br />
a few problems that I've begun to learn about, and conclude with a<br />
discussion of how these experiences have shaped my view of graduate training in mathematics.<br />
<br />
=== Oct 26: Douglas Ulmer (Arizona)===<br />
<br />
Rational numbers, rational functions, and rational points<br />
<br />
One of the central concerns of arithmetic geometry is the study of<br />
solutions of systems of polynomial equations where the solutions are<br />
required to lie in a "small" field such as the rational numbers. I<br />
will explain the landscape of expectations and conjectures in this<br />
area, focusing on curves and their Jacobians over global fields<br />
(number fields and function fields), and then survey the progress made<br />
over the last decade in the function field case. The talk is intended<br />
to be accessible to a wide audience.<br />
<br />
=== Nov 2: Ruixiang Zhang (Madison)===<br />
<br />
The Fourier extension operator<br />
<br />
I will present an integral operator that originated in the study of the Euclidean Fourier transform and is closely related to many problems in PDE, spectral theory, analytic number theory, and combinatorics. I will then introduce some recent developments in harmonic analysis concerning this operator. I will mainly focus on various new ways to "induct on scales" that played an important role in the recent solution in all dimensions to Carleson's a.e. convergence problem on free Schrödinger solutions.<br />
<br />
=== Nov 7: Luca Spolaor (MIT)===<br />
<br />
(Log)-Epiperimetric Inequality and the Regularity of Variational Problems<br />
<br />
In this talk I will present a new method for studying the regularity of minimizers to variational problems. I will start by introducing the notion of blow-up, using as a model case the so-called Obstacle problem. Then I will state the (Log)-epiperimetric inequality and explain how it is used to prove uniqueness of the blow-up and regularity results for the solution near its singular set. I will then show the flexibility of this method by describing how it can be applied to other free-boundary problems and to (almost)-area minimizing currents.<br />
Finally I will describe some future applications of this method both in regularity theory and in other settings.<br />
<br />
=== Nov 9: Anne Shiu (Texas A&M)===<br />
<br />
Dynamics of biochemical reaction systems<br />
<br />
Reaction networks taken with mass-action kinetics arise in many settings, <br />
from epidemiology to population biology to systems of chemical reactions. <br />
This talk focuses on certain biological signaling networks, namely, <br />
phosphorylation networks, and their resulting dynamical systems. For many <br />
of these systems, the set of steady states admits a rational <br />
parametrization (that is, the set is the image of a map with <br />
rational-function coordinates). We describe how such a parametrization <br />
allows us to investigate the dynamics, including the emergence of <br />
bistability in a network underlying ERK regulation, and the capacity for <br />
oscillations in a mixed processive/distributive phosphorylation network.<br />
<br />
=== Nov 19: Alexander Yom Din (Caltech)===<br />
<br />
From analysis to algebra to geometry - an example in representation theory of real groups<br />
<br />
Representation theory of non-compact real groups, such as SL(2,R), is a fundamental discipline with uses in harmonic analysis, number theory, physics, and more. This theory is analytical in nature, but in the course of the 20th century it was algebraized and geometrized (the key contributions are by Harish-Chandra for the former and by Beilinson-Bernstein for the latter). Roughly and generally speaking, algebraization strips layers from the objects of study until we are left with a bare skeleton, amenable to symbolic manipulation. Geometrization, again very roughly, reveals how algebraic objects have secret lives over spaces - thus more amenable to human intuition. In this talk, I will try to motivate and present one example - the calculation of the Casselman-Jacquet module of a principal series representation (I will explain the terms in the talk).<br />
<br />
=== Nov 20: Denis Hirschfeldt (University of Chicago)===<br />
<br />
Computability and Ramsey Theory<br />
<br />
Computability theory can be seen as the study of the fine <br />
structure of definability. Much of its power relies on the deep <br />
connections between definability and computation. These connections can be seen in fundamental results such as Post's Theorem, which establishes a connection between the complexity of formulas needed to define a given set of natural numbers and its computability-theoretic strength. As has become increasingly clear, they can also be seen in the computability-theoretic analysis of objects whose definitions come from notions that arise naturally in combinatorics. The heuristic here is that <br />
computability-theoretically natural notions tend to be combinatorially <br />
natural, and vice-versa. I will discuss some results and open questions in <br />
the computability-theoretic analysis of combinatorial principles, in <br />
particular Ramsey-theoretic ones such as versions of Ramsey's Theorem for colorings of countably infinite sets, and versions of Hindman's Theorem, which states that for every coloring of the natural numbers with finitely many colors, there is an infinite set of numbers such that all nonempty sums of distinct elements of this set have the same color.<br />
<br />
=== Nov 26: Vadim Gorin (MIT)===<br />
<br />
Macroscopic fluctuations through Schur generating functions<br />
<br />
I will talk about a special class of large-dimensional stochastic systems with strong correlations. The main examples will be random tilings, non-colliding random walks, eigenvalues of random matrices, and measures governing decompositions of group representations into irreducible components.<br />
<br />
It is believed that macroscopic fluctuations in such systems are universally described by log-correlated Gaussian fields. I will present an approach to handle this question based on the notion of the Schur generating function of a probability distribution, and explain how it leads to a rigorous confirmation of this belief in a variety of situations.<br />
<br />
=== Nov 28: Gao Chen (IAS) ===<br />
<br />
A Torelli type theorem<br />
<br />
The length of a circle determines the shape of it. In this talk, we will discuss non-trivial generalizations of this fact for Riemann surfaces, hyperkähler 4-manifolds, Calabi-Yau threefolds and G_2, Spin(7) manifolds. <br />
<br />
=== Nov 30: David Fisher (Indiana U.) ===<br />
<br />
New Techniques for Zimmer's Conjecture<br />
<br />
Lattices in higher rank simple Lie groups are known to be<br />
extremely rigid. Examples of this are Margulis' superrigidity theorem,<br />
which shows they have very few linear represenations, and Margulis'<br />
arithmeticity theorem, which shows they are all constructed via number<br />
theory. Motivated by these and other results, in 1983 Zimmer made a<br />
number of conjectures about actions of these groups on compact<br />
manifolds. After providing some history and motivation, I will discuss<br />
a recent result that makes dramatic progress on the conjecture in all<br />
cases and proves it in many of them. I will place some emphasis on<br />
surprising connections to other areas of mathematics that arise in the<br />
proof.<br />
<br />
=== Dec 3: Bena Tshishiku (Harvard) ===<br />
<br />
Surface bundles, monodromy, and arithmetic groups<br />
<br />
Fiber bundles with fiber a surface arise in many areas including hyperbolic geometry, symplectic geometry, and algebraic geometry. Up to isomorphism, a surface bundle is completely determined by its monodromy representation, which is a homomorphism to a mapping class group. This allows one to use algebra to study the topology of surface bundles. Unfortunately, the monodromy representation is typically difficult to ``compute" (e.g. determine its image). In this talk, I will discuss some recent work toward computing monodromy groups for holomorphic surface bundles, including certain examples of Atiyah and Kodaira. This can be applied to the problem of counting the number of ways that certain 4-manifolds fiber over a surface. This is joint work with Nick Salter. <br />
<br />
=== Dec 5: Subhabrata Sen (MIT and Microsoft Research New England) ===<br />
<br />
Random graphs, Optimization, and Spin glasses<br />
<br />
Combinatorial optimization problems are ubiquitous in diverse mathematical applications. The desire to understand their ``typical" behavior motivates a study of these problems on random instances. In spite of a long and rich history, many natural questions in this domain are still intractable to rigorous mathematical analysis. Graph cut problems such as Max-Cut and Min-bisection are canonical examples in this class. On the other hand, physicists study these questions using the non-rigorous ``replica" and ``cavity" methods, and predict complex, intriguing features. In this talk, I will describe some recent progress in our understanding of their typical properties on random graphs, obtained via connections to the theory of mean-field spin glasses. The new techniques are broadly applicable, and lead to novel algorithmic and statistical consequences.<br />
<br />
=== Dec 7: Leonardo Zepeda-Nunez (Berkeley) ===<br />
<br />
Accelerating ab-initio molecular dynamics via multi-scale neural networks<br />
<br />
Deep learning has rapidly become a large field with an ever-growing range of applications; however, its intersection with scientific computing remains in its infancy, mainly due to the high accuracy that scientific computing problems require, which depends greatly on the architecture of the neural network. <br />
<br />
In this talk we present a novel deep neural network with a multi-scale architecture inspired in H-matrices (and H2-matrices) to efficiently approximate, within 3-4 digits, several challenging non-linear maps arising from the discretization of PDEs, whose evaluation would otherwise require computationally intensive iterative methods. <br />
<br />
In particular, we focus on the notoriously difficult Kohn-Sham map arising from Density Functional Theory (DFT). We show that the proposed multiscale-neural network can efficiently learn this map, thus bypassing an expensive self-consistent field iteration. In addition, we show the application of this methodology to ab-initio molecular dynamics, for which we provide examples for 1D problems and small, albeit realistic, 3D systems. <br />
<br />
Joint work with Y. Fan, J. Feliu-Faaba, L. Lin, W. Jia, and L. Ying<br />
<br />
=== Dec 10: Max Engelstein (MIT) ===<br />
<br />
The role of Energy in Regularity<br />
<br />
The calculus of variations asks us to minimize some energy and then describe the shape/properties of the minimizers. It is perhaps a surprising fact that minimizers to ``nice" energies are more regular than one, a priori, assumes. A useful tool for understanding this phenomenon is the Euler-Lagrange equation, which is a partial differential equation satisfied by the critical points of the energy. <br />
<br />
However, as we teach our calculus students, not every critical point is a minimizer. In this talk we will discuss some techniques to distinguish the behavior of general critical points from that of minimizers. We will then outline how these techniques may be used to solve some central open problems in the field. <br />
<br />
We will then turn the tables, and examine PDEs which look like they should be an Euler-Lagrange equation but for which there is no underlying energy. For some of these PDEs the solutions will regularize (as if there were an underlying energy) for others, pathological behavior can occur. <br />
<br />
== Past Colloquia ==<br />
<br />
[[Colloquia/Blank|Blank]]<br />
<br />
[[Colloquia/Spring2018|Spring 2018]]<br />
<br />
[[Colloquia/Fall2017|Fall 2017]]<br />
<br />
[[Colloquia/Spring2017|Spring 2017]]<br />
<br />
[[Archived Fall 2016 Colloquia|Fall 2016]]<br />
<br />
[[Colloquia/Spring2016|Spring 2016]]<br />
<br />
[[Colloquia/Fall2015|Fall 2015]]<br />
<br />
[[Colloquia/Spring2014|Spring 2015]]<br />
<br />
[[Colloquia/Fall2014|Fall 2014]]<br />
<br />
[[Colloquia/Spring2014|Spring 2014]]<br />
<br />
[[Colloquia/Fall2013|Fall 2013]]<br />
<br />
[[Colloquia 2012-2013|Spring 2013]]<br />
<br />
[[Colloquia 2012-2013#Fall 2012|Fall 2012]]</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Colloquia/Fall18&diff=16703Colloquia/Fall182019-01-24T14:40:20Z<p>Nagreen: </p>
<hr />
<div>= Mathematics Colloquium =<br />
<br />
All colloquia are on Fridays at 4:00 pm in Van Vleck B239, '''unless otherwise indicated'''.<br />
<br />
The calendar for spring 2019 can be found [[Colloquia/Spring2019|here]].<br />
<br />
==Spring 2019==<br />
<br />
== Fall 2018 ==<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Sep 12 '''Room 911'''<br />
| [https://sites.math.washington.edu/~gunther/ Gunther Uhlmann] (Univ. of Washington) Distinguished Lecture series<br />
|[[#Sep 12: Gunther Uhlmann (Univ. of Washington)| Harry Potter's Cloak via Transformation Optics ]]<br />
| Li<br />
|<br />
|-<br />
|Sep 14 '''Room 911'''<br />
| [https://sites.math.washington.edu/~gunther/ Gunther Uhlmann] (Univ. of Washington) Distinguished Lecture series<br />
|[[#Sep 14: Gunther Uhlmann (Univ. of Washington) | Journey to the Center of the Earth ]]<br />
| Li<br />
|<br />
|-<br />
|Sep 21 '''Room 911'''<br />
| [http://stuart.caltech.edu/ Andrew Stuart] (Caltech) LAA lecture<br />
|[[#Sep 21: Andrew Stuart (Caltech) | The Legacy of Rudolph Kalman ]]<br />
| Jin<br />
|<br />
|-<br />
|Sep 28<br />
| [https://www.math.cmu.edu/~gautam/sj/index.html Gautam Iyer] (CMU)<br />
|[[#Sep 28: Gautam Iyer (CMU)| Stirring and Mixing ]]<br />
| Thiffeault<br />
|<br />
|-<br />
|Oct 5<br />
| [http://www.personal.psu.edu/eus25/ Eyal Subag] (Penn State)<br />
|[[#Oct 5: Eyal Subag (Penn State)| Symmetries of the hydrogen atom and algebraic families ]]<br />
| Gurevich<br />
|<br />
|-<br />
|Oct 12<br />
| [https://www.math.wisc.edu/~andreic/ Andrei Caldararu] (Madison)<br />
|[[#Oct 12: Andrei Caldararu (Madison) | Mirror symmetry and derived categories ]]<br />
| ...<br />
|<br />
|-<br />
|Oct 19<br />
| [https://teitelbaum.math.uconn.edu/# Jeremy Teitelbaum] (U Connecticut)<br />
|[[#Oct 19: Jeremy Teitelbaum (U Connecticut)| Lessons Learned and New Perspectives: From Dean and Provost to aspiring Data Scientist ]]<br />
| Boston<br />
|<br />
|-<br />
|Oct 26<br />
| [http://math.arizona.edu/~ulmer/index.html Douglas Ulmer] (Arizona)<br />
|[[#Oct 26: Douglas Ulmer (Arizona) | Rational numbers, rational functions, and rational points ]]<br />
| Yang<br />
|<br />
|-<br />
|Nov 2 '''Room 911'''<br />
| [https://sites.google.com/view/ruixiang-zhang/home?authuser=0# Ruixiang Zhang] (Madison)<br />
|[[#Nov 2: Ruixiang Zhang (Madison) | The Fourier extension operator ]]<br />
| <br />
|<br />
|-<br />
|Nov 7 '''Wednesday'''<br />
| [http://math.mit.edu/~lspolaor/ Luca Spolaor] (MIT)<br />
|[[#Nov 7: Luca Spolaor (MIT) | (Log)-Epiperimetric Inequality and the Regularity of Variational Problems ]]<br />
| Feldman<br />
|<br />
|-<br />
|Nov 12 '''Monday'''<br />
| [http://www.math.tamu.edu/~annejls/ Anne Shiu] (Texas A&M)<br />
|[[#Nov 9: Anne Shiu (Texas A&M) | Dynamics of biochemical reaction systems ]]<br />
| Craciun, Stechmann<br />
|<br />
|-<br />
|Nov 19 '''Monday'''<br />
| [https://sites.google.com/site/ayomdin/ Alexander Yom Din] (Caltech) <br />
|[[#Nov 19: Alexander Yom Din (Caltech) | From analysis to algebra to geometry - an example in representation theory of real groups ]]<br />
| Boston, Gurevitch<br />
|<br />
|-<br />
|Nov 20 '''Tuesday, Room 911'''<br />
| [http://http://www.math.uchicago.edu/~drh/ Denis Hirschfeldt] (University of Chicago)<br />
|[[#Nov 20: Denis Hirschfeldt (University of Chicago)| Computability and Ramsey Theory ]]<br />
| Andrews<br />
|<br />
|-<br />
|Nov 26 '''Monday, Room 911'''<br />
| [http://math.mit.edu/directory/profile.php?pid=1415 Vadim Gorin] (MIT)<br />
|[[#Nov 26: Vadim Gorin (MIT)| Macroscopic fluctuations through Schur generating functions ]]<br />
| Anderson<br />
|<br />
|-<br />
|Nov 28 '''Wednesday'''<br />
| [http://www.math.ias.edu/~gchen/ Gao Chen](IAS)<br />
|[[#Nov 28: Gao Chen(IAS) | A Torelli type theorem ]]<br />
| Paul <br />
|<br />
|-<br />
|Nov 30<br />
| [https://math.indiana.edu/about/faculty/fisher-david.html David Fisher](Indiana U.)<br />
|[[#Nov 30: David Fisher (Indiana U.) | New Techniques for Zimmer's Conjecture ]]<br />
| Kent<br />
|-<br />
|Dec 3 '''Monday'''<br />
| [http://bena-tshishiku.squarespace.com/ Bena Tshishiku](Harvard)<br />
|[[#Dec 3: Bena Tshishiku (Harvard)| Surface bundles, monodromy, and arithmetic groups ]]<br />
| Paul<br />
|<br />
|-<br />
|Dec 5 '''Wednesday, Room 911'''<br />
| [http://www.mit.edu/~ssen90/ Subhabrata Sen](MIT and Microsoft Research New England)<br />
|[[#Dec 5: Subhabrata Sen (MIT and Microsoft Research New England) | Random graphs, Optimization, and Spin glasses ]]<br />
| Anderson<br />
|<br />
|-<br />
|Dec 7 '''Room 911'''<br />
| [https://math.berkeley.edu/people/faculty/leonardo-zepeda-n-ez Leonardo Zepeda-Nunez](Berkeley)<br />
|[[#Dec 7: Leonardo Zepeda-Nunez (Berkeley) | Accelerating ab-initio molecular dynamics via multi-scale neural networks ]]<br />
| Stechmann<br />
|<br />
|-<br />
|Dec 10 '''Monday'''<br />
| [http://math.mit.edu/~maxe/ Max Engelstein](MIT)<br />
|[[#Dec 10: Max Engelstein (MIT)| The role of Energy in Regularity ]]<br />
| Feldman<br />
|<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
=== Sep 12: Gunther Uhlmann (Univ. of Washington) ===<br />
Harry Potter's Cloak via Transformation Optics<br />
<br />
Can we make objects invisible? This has been a subject of human<br />
fascination for millennia in Greek mythology, movies, science fiction,<br />
etc. including the legend of Perseus versus Medusa and the more recent<br />
Star Trek and Harry Potter. In the last fifteen years or so there have been<br />
several scientific proposals to achieve invisibility. We will introduce in a non-technical fashion<br />
one of them, the so-called "traansformation optics"<br />
in a non-technical fashion n the so-called that has received the most attention in the<br />
scientific literature.<br />
<br />
=== Sep 14: Gunther Uhlmann (Univ. of Washington) ===<br />
Journey to the Center of the Earth<br />
<br />
We will consider the inverse problem of determining the sound<br />
speed or index of refraction of a medium by measuring the travel times of<br />
waves going through the medium. This problem arises in global seismology<br />
in an attempt to determine the inner structure of the Earth by measuring<br />
travel times of earthquakes. It has also several applications in optics<br />
and medical imaging among others.<br />
<br />
The problem can be recast as a geometric problem: Can one determine the<br />
Riemannian metric of a Riemannian manifold with boundary by measuring<br />
the distance function between boundary points? This is the boundary<br />
rigidity problem. We will also consider the problem of determining<br />
the metric from the scattering relation, the so-called lens rigidity<br />
problem. The linearization of these problems involve the integration<br />
of a tensor along geodesics, similar to the X-ray transform.<br />
<br />
We will also describe some recent results, join with Plamen Stefanov<br />
and Andras Vasy, on the partial data case, where you are making<br />
measurements on a subset of the boundary. No previous knowledge of<br />
Riemannian geometry will be assumed.<br />
<br />
=== Sep 21: Andrew Stuart (Caltech) ===<br />
<br />
The Legacy of Rudolph Kalman<br />
<br />
In 1960 Rudolph Kalman published what is arguably the first paper to develop a systematic, principled approach to the use of data to improve the predictive capability of mathematical models. As our ability to gather data grows at an enormous rate, the importance of this work continues to grow too. The lecture will describe this paper, and developments that have stemmed from it, revolutionizing fields such space-craft control, weather prediction, oceanography and oil recovery, and with potential for use in new fields such as medical imaging and artificial intelligence. Some mathematical details will be also provided, but limited to simple concepts such as optimization, and iteration; the talk is designed to be broadly accessible to anyone with an interest in quantitative science.<br />
<br />
=== Sep 28: Gautam Iyer (CMU) ===<br />
<br />
Stirring and Mixing<br />
<br />
Mixing is something one encounters often in everyday life (e.g. stirring cream into coffee). I will talk about two mathematical<br />
aspects of mixing that arise in the context of fluid dynamics:<br />
<br />
1. How efficiently can stirring "mix"?<br />
<br />
2. What is the interaction between diffusion and mixing.<br />
<br />
Both these aspects are rich in open problems whose resolution involves tools from various different areas. I present a brief survey of existing<br />
results, and talk about a few open problems.<br />
<br />
=== Oct 5: Eyal Subag (Penn State)===<br />
<br />
Symmetries of the hydrogen atom and algebraic families<br />
<br />
The hydrogen atom system is one of the most thoroughly studied examples of a quantum mechanical system. It can be fully solved, and the main reason why is its (hidden) symmetry. In this talk I shall explain how the symmetries of the Schrödinger equation for the hydrogen atom, both visible and hidden, give rise to an example in the recently developed theory of algebraic families of Harish-Chandra modules. I will show how the algebraic structure of these symmetries completely determines the spectrum of the Schrödinger operator and sheds new light on the quantum nature of the system. No prior knowledge on quantum mechanics or representation theory will be assumed.<br />
<br />
=== Oct 12: Andrei Caldararu (Madison)===<br />
<br />
Mirror symmetry and derived categories<br />
<br />
Mirror symmetry is a remarkable phenomenon, first discovered in physics. It relates two seemingly disparate areas of mathematics, symplectic and algebraic geometry. Its initial formulation was rather narrow, as a technique for computing enumerative invariants (so-called Gromov-Witten invariants) of symplectic varieties by solving certain differential equations describing the variation of Hodge structure of “mirror" varieties. Over the past 25 years this narrow view has expanded considerably, largely due to insights of M. Kontsevich who introduced techniques from derived categories into the subject. Nowadays mirror symmetry encompasses wide areas of mathematics, touching on subjects like birational geometry, number theory, homological algebra, etc.<br />
<br />
In my talk I shall survey some of the recent developments in mirror symmetry, and I will explain how my work fits in the general picture. In particular I will describe an example of derived equivalent but not birational Calabi-Yau three folds (joint work with Lev Borisov); and a recent computation of a categorical Gromov-Witten invariant of positive genus (work with my former student Junwu Tu).<br />
<br />
=== Oct 19: Jeremy Teitelbaum (U Connecticut)===<br />
Lessons Learned and New Perspectives:<br />
From Dean and Provost to aspiring Data Scientist<br />
<br />
After more than 10 years in administration, including 9 as Dean of<br />
Arts and Sciences and 1 as interim Provost at UConn, I have returned<br />
to my faculty position. I am spending a year as a visiting scientist<br />
at the Jackson Laboratory for Genomic Medicine (JAX-GM) in Farmington,<br />
Connecticut, trying to get a grip on some of the mathematical problems<br />
of interest to researchers in cancer genomics. In this talk, I will offer some personal<br />
observations about being a mathematician and a high-level administrator, talk a bit about<br />
the research environment at an independent research institute like JAX-GM, outline<br />
a few problems that I've begun to learn about, and conclude with a<br />
discussion of how these experiences have shaped my view of graduate training in mathematics.<br />
<br />
=== Oct 26: Douglas Ulmer (Arizona)===<br />
<br />
Rational numbers, rational functions, and rational points<br />
<br />
One of the central concerns of arithmetic geometry is the study of<br />
solutions of systems of polynomial equations where the solutions are<br />
required to lie in a "small" field such as the rational numbers. I<br />
will explain the landscape of expectations and conjectures in this<br />
area, focusing on curves and their Jacobians over global fields<br />
(number fields and function fields), and then survey the progress made<br />
over the last decade in the function field case. The talk is intended<br />
to be accessible to a wide audience.<br />
<br />
=== Nov 2: Ruixiang Zhang (Madison)===<br />
<br />
The Fourier extension operator<br />
<br />
I will present an integral operator that originated in the study of the Euclidean Fourier transform and is closely related to many problems in PDE, spectral theory, analytic number theory, and combinatorics. I will then introduce some recent developments in harmonic analysis concerning this operator. I will mainly focus on various new ways to "induct on scales" that played an important role in the recent solution in all dimensions to Carleson's a.e. convergence problem on free Schrödinger solutions.<br />
<br />
=== Nov 7: Luca Spolaor (MIT)===<br />
<br />
(Log)-Epiperimetric Inequality and the Regularity of Variational Problems<br />
<br />
In this talk I will present a new method for studying the regularity of minimizers to variational problems. I will start by introducing the notion of blow-up, using as a model case the so-called Obstacle problem. Then I will state the (Log)-epiperimetric inequality and explain how it is used to prove uniqueness of the blow-up and regularity results for the solution near its singular set. I will then show the flexibility of this method by describing how it can be applied to other free-boundary problems and to (almost)-area minimizing currents.<br />
Finally I will describe some future applications of this method both in regularity theory and in other settings.<br />
<br />
=== Nov 9: Anne Shiu (Texas A&M)===<br />
<br />
Dynamics of biochemical reaction systems<br />
<br />
Reaction networks taken with mass-action kinetics arise in many settings, <br />
from epidemiology to population biology to systems of chemical reactions. <br />
This talk focuses on certain biological signaling networks, namely, <br />
phosphorylation networks, and their resulting dynamical systems. For many <br />
of these systems, the set of steady states admits a rational <br />
parametrization (that is, the set is the image of a map with <br />
rational-function coordinates). We describe how such a parametrization <br />
allows us to investigate the dynamics, including the emergence of <br />
bistability in a network underlying ERK regulation, and the capacity for <br />
oscillations in a mixed processive/distributive phosphorylation network.<br />
<br />
=== Nov 19: Alexander Yom Din (Caltech)===<br />
<br />
From analysis to algebra to geometry - an example in representation theory of real groups<br />
<br />
Representation theory of non-compact real groups, such as SL(2,R), is a fundamental discipline with uses in harmonic analysis, number theory, physics, and more. This theory is analytical in nature, but in the course of the 20th century it was algebraized and geometrized (the key contributions are by Harish-Chandra for the former and by Beilinson-Bernstein for the latter). Roughly and generally speaking, algebraization strips layers from the objects of study until we are left with a bare skeleton, amenable to symbolic manipulation. Geometrization, again very roughly, reveals how algebraic objects have secret lives over spaces - thus more amenable to human intuition. In this talk, I will try to motivate and present one example - the calculation of the Casselman-Jacquet module of a principal series representation (I will explain the terms in the talk).<br />
<br />
=== Nov 20: Denis Hirschfeldt (University of Chicago)===<br />
<br />
Computability and Ramsey Theory<br />
<br />
Computability theory can be seen as the study of the fine <br />
structure of definability. Much of its power relies on the deep <br />
connections between definability and computation. These connections can be seen in fundamental results such as Post's Theorem, which establishes a connection between the complexity of formulas needed to define a given set of natural numbers and its computability-theoretic strength. As has become increasingly clear, they can also be seen in the computability-theoretic analysis of objects whose definitions come from notions that arise naturally in combinatorics. The heuristic here is that <br />
computability-theoretically natural notions tend to be combinatorially <br />
natural, and vice-versa. I will discuss some results and open questions in <br />
the computability-theoretic analysis of combinatorial principles, in <br />
particular Ramsey-theoretic ones such as versions of Ramsey's Theorem for colorings of countably infinite sets, and versions of Hindman's Theorem, which states that for every coloring of the natural numbers with finitely many colors, there is an infinite set of numbers such that all nonempty sums of distinct elements of this set have the same color.<br />
<br />
=== Nov 26: Vadim Gorin (MIT)===<br />
<br />
Macroscopic fluctuations through Schur generating functions<br />
<br />
I will talk about a special class of large-dimensional stochastic systems with strong correlations. The main examples will be random tilings, non-colliding random walks, eigenvalues of random matrices, and measures governing decompositions of group representations into irreducible components.<br />
<br />
It is believed that macroscopic fluctuations in such systems are universally described by log-correlated Gaussian fields. I will present an approach to handle this question based on the notion of the Schur generating function of a probability distribution, and explain how it leads to a rigorous confirmation of this belief in a variety of situations.<br />
<br />
=== Nov 28: Gao Chen (IAS) ===<br />
<br />
A Torelli type theorem<br />
<br />
The length of a circle determines the shape of it. In this talk, we will discuss non-trivial generalizations of this fact for Riemann surfaces, hyperkähler 4-manifolds, Calabi-Yau threefolds and G_2, Spin(7) manifolds. <br />
<br />
=== Nov 30: David Fisher (Indiana U.) ===<br />
<br />
New Techniques for Zimmer's Conjecture<br />
<br />
Lattices in higher rank simple Lie groups are known to be<br />
extremely rigid. Examples of this are Margulis' superrigidity theorem,<br />
which shows they have very few linear represenations, and Margulis'<br />
arithmeticity theorem, which shows they are all constructed via number<br />
theory. Motivated by these and other results, in 1983 Zimmer made a<br />
number of conjectures about actions of these groups on compact<br />
manifolds. After providing some history and motivation, I will discuss<br />
a recent result that makes dramatic progress on the conjecture in all<br />
cases and proves it in many of them. I will place some emphasis on<br />
surprising connections to other areas of mathematics that arise in the<br />
proof.<br />
<br />
=== Dec 3: Bena Tshishiku (Harvard) ===<br />
<br />
Surface bundles, monodromy, and arithmetic groups<br />
<br />
Fiber bundles with fiber a surface arise in many areas including hyperbolic geometry, symplectic geometry, and algebraic geometry. Up to isomorphism, a surface bundle is completely determined by its monodromy representation, which is a homomorphism to a mapping class group. This allows one to use algebra to study the topology of surface bundles. Unfortunately, the monodromy representation is typically difficult to ``compute" (e.g. determine its image). In this talk, I will discuss some recent work toward computing monodromy groups for holomorphic surface bundles, including certain examples of Atiyah and Kodaira. This can be applied to the problem of counting the number of ways that certain 4-manifolds fiber over a surface. This is joint work with Nick Salter. <br />
<br />
=== Dec 5: Subhabrata Sen (MIT and Microsoft Research New England) ===<br />
<br />
Random graphs, Optimization, and Spin glasses<br />
<br />
Combinatorial optimization problems are ubiquitous in diverse mathematical applications. The desire to understand their ``typical" behavior motivates a study of these problems on random instances. In spite of a long and rich history, many natural questions in this domain are still intractable to rigorous mathematical analysis. Graph cut problems such as Max-Cut and Min-bisection are canonical examples in this class. On the other hand, physicists study these questions using the non-rigorous ``replica" and ``cavity" methods, and predict complex, intriguing features. In this talk, I will describe some recent progress in our understanding of their typical properties on random graphs, obtained via connections to the theory of mean-field spin glasses. The new techniques are broadly applicable, and lead to novel algorithmic and statistical consequences.<br />
<br />
=== Dec 7: Leonardo Zepeda-Nunez (Berkeley) ===<br />
<br />
Accelerating ab-initio molecular dynamics via multi-scale neural networks<br />
<br />
Deep learning has rapidly become a large field with an ever-growing range of applications; however, its intersection with scientific computing remains in its infancy, mainly due to the high accuracy that scientific computing problems require, which depends greatly on the architecture of the neural network. <br />
<br />
In this talk we present a novel deep neural network with a multi-scale architecture inspired in H-matrices (and H2-matrices) to efficiently approximate, within 3-4 digits, several challenging non-linear maps arising from the discretization of PDEs, whose evaluation would otherwise require computationally intensive iterative methods. <br />
<br />
In particular, we focus on the notoriously difficult Kohn-Sham map arising from Density Functional Theory (DFT). We show that the proposed multiscale-neural network can efficiently learn this map, thus bypassing an expensive self-consistent field iteration. In addition, we show the application of this methodology to ab-initio molecular dynamics, for which we provide examples for 1D problems and small, albeit realistic, 3D systems. <br />
<br />
Joint work with Y. Fan, J. Feliu-Faaba, L. Lin, W. Jia, and L. Ying<br />
<br />
=== Dec 10: Max Engelstein (MIT) ===<br />
<br />
The role of Energy in Regularity<br />
<br />
The calculus of variations asks us to minimize some energy and then describe the shape/properties of the minimizers. It is perhaps a surprising fact that minimizers to ``nice" energies are more regular than one, a priori, assumes. A useful tool for understanding this phenomenon is the Euler-Lagrange equation, which is a partial differential equation satisfied by the critical points of the energy. <br />
<br />
However, as we teach our calculus students, not every critical point is a minimizer. In this talk we will discuss some techniques to distinguish the behavior of general critical points from that of minimizers. We will then outline how these techniques may be used to solve some central open problems in the field. <br />
<br />
We will then turn the tables, and examine PDEs which look like they should be an Euler-Lagrange equation but for which there is no underlying energy. For some of these PDEs the solutions will regularize (as if there were an underlying energy) for others, pathological behavior can occur. <br />
<br />
== Past Colloquia ==<br />
<br />
[[Colloquia/Blank|Blank]]<br />
<br />
[[Colloquia/Spring2018|Spring 2018]]<br />
<br />
[[Colloquia/Fall2017|Fall 2017]]<br />
<br />
[[Colloquia/Spring2017|Spring 2017]]<br />
<br />
[[Archived Fall 2016 Colloquia|Fall 2016]]<br />
<br />
[[Colloquia/Spring2016|Spring 2016]]<br />
<br />
[[Colloquia/Fall2015|Fall 2015]]<br />
<br />
[[Colloquia/Spring2014|Spring 2015]]<br />
<br />
[[Colloquia/Fall2014|Fall 2014]]<br />
<br />
[[Colloquia/Spring2014|Spring 2014]]<br />
<br />
[[Colloquia/Fall2013|Fall 2013]]<br />
<br />
[[Colloquia 2012-2013|Spring 2013]]<br />
<br />
[[Colloquia 2012-2013#Fall 2012|Fall 2012]]</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Applied/ACMS&diff=16675Applied/ACMS2019-01-22T15:22:50Z<p>Nagreen: /* Spring 2019 */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Applied and Computational Mathematics Seminar =<br />
<br />
*'''When:''' Fridays at 2:25pm (except as otherwise indicated)<br />
*'''Where:''' 901 Van Vleck Hall<br />
*'''Organizers:''' [http://www.math.wisc.edu/~qinli/ Qin Li] and [http://www.math.wisc.edu/~jeanluc Jean-Luc Thiffeault]<br />
*'''To join the ACMS mailing list:''' See [https://admin.lists.wisc.edu/index.php?p=11&l=acms mailing list] website.<br />
<br />
<br><br />
<br />
<br />
== Spring 2019 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
| Jan 25<br />
|[http://pages.cs.wisc.edu/~jerryzhu/ Jerry Zhu] (UW-Madison, CS)<br />
|''[[Applied/ACMS/absS19#Jerry Zhu (UW-Madison, CS)|Machine Teaching: Optimal Control of Machine Learning]]''<br />
| host<br />
|-<br />
| Feb 1<br />
|[https://www.math.wisc.edu/~cntzou/ Chung-Nan Tzou] (UW-Madison)<br />
|''[[Applied/ACMS/absS19#Chung-Nan Tzou (UW-Madison)|title]]''<br />
| host<br />
|-<br />
| Feb 8<br />
|[https://www.math.wisc.edu/~deshpande/ Abhishek Deshpande] (UW-Madison)<br />
|''[[Applied/ACMS/absS19#Abhishek Deshpande (UW-Madison)|title]]''<br />
| host<br />
|-<br />
| Feb 15<br />
|[https://sites.google.com/site/amylouisecochran/ Amy Cochran] (UW-Madison, Math and Medical Informatics)<br />
|''[[Applied/ACMS/absS19#Amy Cochran (UW-Madison, Math and Medical Informatics)|title]]''<br />
| host<br />
|-<br />
| Feb 22<br />
|[https://www.ma.utexas.edu/users/ren/index.html Kui Ren] (UT-Austin and Columbia)<br />
|''[[Applied/ACMS/absS19#Kui Ren (UT-Austin and Columbia)|title]]''<br />
| host<br />
|-<br />
| Mar 1<br />
|[https://www.medphysics.wisc.edu/directory/guanghong.php Guanghong Chen] (UW-Madison, Medical Physics)<br />
|''[[Applied/ACMS/absS19#Guanghong Chen (UW-Madison, Medical Physics)|title]]''<br />
| Li<br />
|-<br />
| Mar 8<br />
|[http://www.nicolasgarciat.com/ Nicolas Garcia Trillos] (UW-Madison, Statistics)<br />
|''[[Applied/ACMS/absS19#Nicolas Garcia Trillos (UW-Madison, Statistics)|title]]''<br />
| host<br />
|-<br />
| Mar 15<br />
|[http://www.sfu.ca/~weirans/ Weiran Sun] (Simon Fraser)<br />
|''[[Applied/ACMS/absS19#Weiran Sun (Simon Fraser)|title]]''<br />
| host<br />
|-<br />
| Mar 22<br />
|[spring recess] (Institute)<br />
|''[[Applied/ACMS/absS19#Name (Institute)|title]]''<br />
| host<br />
|-<br />
| Mar 29<br />
|[https://math.berkeley.edu/~linlin/ Lin Lin] (UC-Berkeley)<br />
|''[[Applied/ACMS/absS19#Lin Lin (UC-Berkeley)|title]]''<br />
| host<br />
|-<br />
| Apr 5<br />
|[https://scholar.google.com/citations?user=85z4Cl4AAAAJ&hl=en Mustafa Mohamad] (NYU/Courant)<br />
|''[[Applied/ACMS/absS19#Name (Institute)|title]]''<br />
| Chen<br />
|-<br />
| Apr 12<br />
|[https://sites.tufts.edu/hening/ Alexandru Hening] (Tufts University)<br />
|''[[Applied/ACMS/absS19#Alexandru Hening (Tufts University)|title TBA]]''<br />
| Craciun<br />
|-<br />
| Apr 19<br />
|[website TBA] (Institute)<br />
|''[[Applied/ACMS/absS19#Name (Institute)|title]]''<br />
| host<br />
|-<br />
| Apr 26<br />
|[http://ins.sjtu.edu.cn/people/leili/ Lei Li] (Shanghai Jiao Tong University)<br />
|''[[Applied/ACMS/absS19#Lei Li (Shanghai Jiao Tong University)|TBA]]''<br />
| Spagnolie<br />
|-<br />
| May 3<br />
|[https://www.math.ucla.edu/~jiajun/ Jiajun Tong] (UCLA)<br />
|''[[Applied/ACMS/absS19#Jiajun Tong (UCLA)|title]]''<br />
| Chen<br />
|}<br />
<br />
== Future semesters ==<br />
<br />
*[[Applied/ACMS/Spring2019|Spring 2019]]<br />
<br />
== Archived semesters ==<br />
*[[Applied/ACMS/Fall2018|Fall 2018]]<br />
*[[Applied/ACMS/Spring2018|Spring 2018]]<br />
*[[Applied/ACMS/Fall2017|Fall 2017]]<br />
*[[Applied/ACMS/Spring2017|Spring 2017]]<br />
*[[Applied/ACMS/Fall2016|Fall 2016]]<br />
*[[Applied/ACMS/Spring2016|Spring 2016]]<br />
*[[Applied/ACMS/Fall2015|Fall 2015]]<br />
*[[Applied/ACMS/Spring2015|Spring 2015]]<br />
*[[Applied/ACMS/Fall2014|Fall 2014]]<br />
*[[Applied/ACMS/Spring2014|Spring 2014]]<br />
*[[Applied/ACMS/Fall2013|Fall 2013]]<br />
*[[Applied/ACMS/Spring2013|Spring 2013]]<br />
*[[Applied/ACMS/Fall2012|Fall 2012]]<br />
*[[Applied/ACMS/Spring2012|Spring 2012]]<br />
*[[Applied/ACMS/Fall2011|Fall 2011]]<br />
*[[Applied/ACMS/Spring2011|Spring 2011]]<br />
*[[Applied/ACMS/Fall2010|Fall 2010]]<br />
<!--<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring10.html Spring 2010]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall09.html Fall 2009]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring09.html Spring 2009]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall08.html Fall 2008]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring08.html Spring 2008]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall07.html Fall 2007]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring07.html Spring 2007]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall06.html Fall 2006]<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [[Applied|Applied Mathematics Group Page]]</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Applied/ACMS&diff=16674Applied/ACMS2019-01-22T15:22:36Z<p>Nagreen: /* Spring 2019 */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Applied and Computational Mathematics Seminar =<br />
<br />
*'''When:''' Fridays at 2:25pm (except as otherwise indicated)<br />
*'''Where:''' 901 Van Vleck Hall<br />
*'''Organizers:''' [http://www.math.wisc.edu/~qinli/ Qin Li] and [http://www.math.wisc.edu/~jeanluc Jean-Luc Thiffeault]<br />
*'''To join the ACMS mailing list:''' See [https://admin.lists.wisc.edu/index.php?p=11&l=acms mailing list] website.<br />
<br />
<br><br />
<br />
<br />
== Spring 2019 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
| Jan 25<br />
|[http://pages.cs.wisc.edu/~jerryzhu/ Jerry Zhu] (UW-Madison, CS)<br />
|''[[Applied/ACMS/absS19#Jerry Zhu (UW-Madison, CS)|Machine Teaching: Optimal Control of Machine Learning]]''<br />
| host<br />
|-<br />
| Feb 1<br />
|[https://www.math.wisc.edu/~cntzou/ Chung-Nan Tzou] (UW-Madison)<br />
|''[[Applied/ACMS/absS19#Chung-Nan Tzou (UW-Madison)|title]]''<br />
| host<br />
|-<br />
| Feb 8<br />
|[https://www.math.wisc.edu/~deshpande/ Abhishek Deshpande] (UW-Madison)<br />
|''[[Applied/ACMS/absS19#Abhishek Deshpande (UW-Madison)|title]]''<br />
| host<br />
|-<br />
| Feb 15<br />
|[https://sites.google.com/site/amylouisecochran/ Amy Cochran] (UW-Madison, Math and Medical Informatics)<br />
|''[[Applied/ACMS/absS19#Amy Cochran (UW-Madison, Math and Medical Informatics)|title]]''<br />
| host<br />
|-<br />
| Feb 22<br />
|[https://www.ma.utexas.edu/users/ren/index.html Kui Ren] (UT-Austin and Columbia)<br />
|''[[Applied/ACMS/absS19#Kui Ren (UT-Austin and Columbia)|title]]''<br />
| host<br />
|-<br />
| Mar 1<br />
|[https://www.medphysics.wisc.edu/directory/guanghong.php Guanghong Chen] (UW-Madison, Medical Physics)<br />
|''[[Applied/ACMS/absS19#Guanghong Chen (UW-Madison, Medical Physics)|title]]''<br />
| Li<br />
|-<br />
| Mar 8<br />
|[http://www.nicolasgarciat.com/ Nicolas Garcia Trillos] (UW-Madison, Statistics)<br />
|''[[Applied/ACMS/absS19#Nicolas Garcia Trillos (UW-Madison, Statistics)|title]]''<br />
| host<br />
|-<br />
| Mar 15<br />
|[http://www.sfu.ca/~weirans/ Weiran Sun] (Simon Fraser)<br />
|''[[Applied/ACMS/absS19#Weiran Sun (Simon Fraser)|title]]''<br />
| host<br />
|-<br />
| Mar 22<br />
|[spring recess] (Institute)<br />
|''[[Applied/ACMS/absS19#Name (Institute)|title]]''<br />
| host<br />
|-<br />
| Mar 29<br />
|[https://math.berkeley.edu/~linlin/ Lin Lin] (UC-Berkeley)<br />
|''[[Applied/ACMS/absS19#Lin Lin (UC-Berkeley)|title]]''<br />
| host<br />
|-<br />
| Apr 5<br />
|[https://scholar.google.com/citations?user=85z4Cl4AAAAJ&hl=en Mustafa Mohamad] (NYU/Courant)<br />
|''[[Applied/ACMS/absS19#Name (Institute)|title]]''<br />
| Chen<br />
|-<br />
| Apr 12<br />
|[https://sites.tufts.edu/hening/ Alexandru Hening] (Tufts University)<br />
|''[[Applied/ACMS/absS19#Alexandru Hening (Tufts University)|title TBA]]''<br />
| Craciun<br />
|-<br />
| Apr 19<br />
|[website TBA] (Institute)<br />
|''[[Applied/ACMS/absS19#Name (Institute)|title]]''<br />
| host<br />
|-<br />
| Apr 26<br />
|[http://ins.sjtu.edu.cn/people/leili/ Lei Li] (Shanghai Jiao Tong University)<br />
|''[[Applied/ACMS/absS19#Lei Li (Shanghai Jiao Tong University)|TBA]]''<br />
| Spagnolie<br />
|-<br />
| May 3<br />
|[https://www.math.ucla.edu/~jiajun/ Jiajun Tong] (UCLA)<br />
|''[[Applied/ACMS/absS19#Jiajun Tong (UCLA)|title]]''<br />
| Chen<br />
|-}<br />
<br />
== Future semesters ==<br />
<br />
*[[Applied/ACMS/Spring2019|Spring 2019]]<br />
<br />
== Archived semesters ==<br />
*[[Applied/ACMS/Fall2018|Fall 2018]]<br />
*[[Applied/ACMS/Spring2018|Spring 2018]]<br />
*[[Applied/ACMS/Fall2017|Fall 2017]]<br />
*[[Applied/ACMS/Spring2017|Spring 2017]]<br />
*[[Applied/ACMS/Fall2016|Fall 2016]]<br />
*[[Applied/ACMS/Spring2016|Spring 2016]]<br />
*[[Applied/ACMS/Fall2015|Fall 2015]]<br />
*[[Applied/ACMS/Spring2015|Spring 2015]]<br />
*[[Applied/ACMS/Fall2014|Fall 2014]]<br />
*[[Applied/ACMS/Spring2014|Spring 2014]]<br />
*[[Applied/ACMS/Fall2013|Fall 2013]]<br />
*[[Applied/ACMS/Spring2013|Spring 2013]]<br />
*[[Applied/ACMS/Fall2012|Fall 2012]]<br />
*[[Applied/ACMS/Spring2012|Spring 2012]]<br />
*[[Applied/ACMS/Fall2011|Fall 2011]]<br />
*[[Applied/ACMS/Spring2011|Spring 2011]]<br />
*[[Applied/ACMS/Fall2010|Fall 2010]]<br />
<!--<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring10.html Spring 2010]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall09.html Fall 2009]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring09.html Spring 2009]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall08.html Fall 2008]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring08.html Spring 2008]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall07.html Fall 2007]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring07.html Spring 2007]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall06.html Fall 2006]<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [[Applied|Applied Mathematics Group Page]]</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=NTS_ABSTRACTSpring2019&diff=16635NTS ABSTRACTSpring20192019-01-16T16:46:15Z<p>Nagreen: /* Jan 23 */</p>
<hr />
<div>Return to [https://www.math.wisc.edu/wiki/index.php/NTS ]<br />
<br />
<br />
== Jan 23 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Yunqing Tang '''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Reductions of abelian surfaces over global function fields<br />
|-<br />
| bgcolor="#BCD2EE" | For a non-isotrivial ordinary abelian surface $A$ over a global function field, under mild assumptions, we prove that there are infinitely many places modulo which $A$ is geometrically isogenous to the product of two elliptic curves. This result can be viewed as a generalization of a theorem of Chai and Oort. This is joint work with Davesh Maulik and Ananth Shankar.<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== Jan 24 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Hassan-Mao-Smith--Zhu'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: Assume a polynomial-time algorithm for factoring integers, Conjecture~\ref{conj}, $d\geq 3,$ and $q$ and $p$ prime numbers, where $p\leq q^A$ for some $A>0$. We develop a polynomial-time algorithm in $\log(q)$ that lifts every $\mathbb{Z}/q\mathbb{Z}$ point of $S^{d-2}\subset S^{d}$ to a $\mathbb{Z}[1/p]$ point of $S^d$ with the minimum height. We implement our algorithm for $d=3 \text{ and }4$. Based on our numerical results, we formulate a conjecture which can be checked in polynomial-time and gives the optimal bound on the diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$. <br />
<br />
|} <br />
</center><br />
<br />
== March 28 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Shamgar Gurevitch'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Harmonic Analysis on GLn over finite fields<br />
|-<br />
| bgcolor="#BCD2EE" | Abstract: There are many formulas that express interesting properties of a group G in terms of sums over its characters.<br />
For evaluating or estimating these sums, one of the most salient quantities to understand is the {\it character ratio}:<br />
$$trace (\rho(g))/dim (\rho),$$<br />
for an irreducible representation $\rho$ of G and an element g of G. For example, Diaconis and Shahshahani stated a formula of this type for analyzing G-biinvariant random walks on G. It turns out that, for classical groups G over finite fields (which provide most examples of finite simple groups), there is a natural invariant of representations that provides strong information on the character ratio. We call this invariant {\it rank}. This talk will discuss the notion of rank for GLn over finite fields, and apply the results to random walks. This is joint work with Roger Howe (TAMU).<br />
|} <br />
</center></div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=NTS_Spring_2019_Semester&diff=16634NTS Spring 2019 Semester2019-01-16T16:45:50Z<p>Nagreen: </p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad_Spring_2019 graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
= Spring 2019 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 23<br />
'''Wed. Room TBA'''<br />
| bgcolor="#F0B0B0" align="center" | [http://web.math.princeton.edu/~yunqingt/ Yunqing Tang (Princeton University)]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_23 Reductions of abelian surfaces over global function fields]<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Jan 24<br />
| bgcolor="#F0B0B0" align="center" | Hassan-Mao-Smith--Zhu<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#Jan_24 The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$]<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Jan 31<br />
| bgcolor="#F0B0B0" align="center" | [https://faculty.math.illinois.edu/~kpratt4/ Kyle Pratt (University of Illinois at Urbana-Champaign)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 7 <br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 14<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 21<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Feb 28<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 7<br />
| bgcolor="#F0B0B0" align="center" |[https://sites.google.com/view/masoudzargar/ Masoud Zargar (Regensburg)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 14<br />
| bgcolor="#F0B0B0" align="center" | [http://www.its.caltech.edu/~mantovan/ Elena Mantovan (Caltech)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 21<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | March 28<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.wisc.edu/~shamgar/ SHAMGAR GUREVITCH]<br />
| bgcolor="#BCE2FE"|[https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACTSpring2019#March_28 Harmonic Analysis on GLn over finite fields] <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 4<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.tamu.edu/~wltsai/ Wei-Lun Tsai (Texas A&M University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 11<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~tmcadam/ Taylor McAdam (UCSD)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 18 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucsd.edu/~ila/ Ila Varma (UCSD)]<br />
| bgcolor="#BCE2FE"|<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | April 25<br />
| bgcolor="#F0B0B0" align="center" | [https://math.rice.edu/~jb93/ Jen Berg (Rice University)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 2<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | May 9 <br />
| bgcolor="#F0B0B0" align="center" | [http://www.mathcs.emory.edu/~dzb/ David Zureick-Brown (Emory College of Arts and Sciences)]<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
|}<br />
</center><br />
<br />
<br><br />
<br />
*to be confirmed<br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~ntalebiz/ Naser Talebizadeh Sardari]<br />
<br />
[http://www.math.wisc.edu/~ruixiang/ Ruixiang Zhang]<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Spring_2018_Schedule&diff=16583Spring 2018 Schedule2018-12-26T15:27:03Z<p>Nagreen: </p>
<hr />
<div>== Spring 2018 Schedule ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s) <br />
<br />
|-<br />
|January 26<br />
|[http://homepages.math.uic.edu/~tmoulinos/ Tasos Moulinos (UIC)] <br />
|[[#Tasos Moulinos|Derived Azumaya Algebras and Twisted K-theory]]<br />
|Michael<br />
|-<br />
|February 2<br />
|Daniel Erman (Wisconsin) <br />
|[[#Daniel Erman|TBA]]<br />
|Local<br />
|-<br />
|'''February 8''' 2:30-3:30 in VV B113<br />
|[http://www.mathematics.pitt.edu/person/roman-fedorov/ Roman Fedorov (University of Pittsburgh)]<br />
|[[#Roman Fedorov|A conjecture of Grothendieck and Serre on principal bundles in mixed characteristic]]<br />
|Dima<br />
|-<br />
|February 9<br />
|Juliette Bruce (Wisconsin) <br />
|[[#Juliette Bruce|Asymptotic Syzygies in the Semi-Ample Setting ]]<br />
|Local<br />
|-<br />
|February 16<br />
|[http://www.math.wisc.edu/~andreic/ Andrei Caldararu (Wisconsin)]<br />
|[[#Andrei Caldararu|Computing a categorical Gromov-Witten invariant]]<br />
|Local<br />
|-<br />
|February 23<br />
|Aron Heleodoro (Northwestern) <br />
|[[#Aron Heleodoro|Normally ordered tensor product of Tate objects and decomposition of higher adeles]]<br />
|Dima<br />
|-<br />
|March 2<br />
|Moisés Herradón Cueto (Wisconsin)<br />
|[[#Moisés Herradón Cueto|Local type of difference equations]]<br />
|Local<br />
|-<br />
|March 9<br />
|Eva Elduque (Wisconsin)<br />
|[[#Eva Elduque|On the signed Euler characteristic property for subvarieties of Abelian varieties]]<br />
|Local<br />
|-<br />
|March 16<br />
|[https://math.berkeley.edu/~chenhi/ Harrison Chen (Berkeley)]<br />
|[[#Harrison Chen|Equivariant localization for periodic cyclic homology and derived loop spaces]]<br />
|Andrei<br />
|-<br />
|March 23<br />
|[http://www-personal.umich.edu/~ptoste/ Phil Tosteson (Michigan)]<br />
|[[#Phil Tosteson|Stability in the homology of Deligne-Mumford compactifications]]<br />
|Steven<br />
|-<br />
|-<br />
|April 6<br />
|[http://www-personal.umich.edu/~weiho/ Wei Ho (Michigan)]<br />
|Noncommutative Galois closures and moduli problems<br />
|Daniel/Wanlin<br />
|-<br />
|-<br />
|April 13<br />
|[https://sites.google.com/site/dcorey2814/ Daniel Corey (Yale)]<br />
|[#Corey|Initial degenerations of Grassmannians]<br />
|Daniel<br />
|-<br />
|April 20<br />
|Alena Pirutka (NYU)<br />
|[[#Alena Pirutka|Irrationality problems]]<br />
|Jordan<br />
|-<br />
|'''April 23''' 2:30-3:30 at 225 Ingraham<br />
|Nero Budur (Leuven)<br />
|[[#Nero Budur|Homotopy of singular algebraic varieties]]<br />
|Botong<br />
|-<br />
|April 27<br />
|Alexander Yom Din (Caltech) <br />
|[[#Alexander Yom Din|Drinfeld-Gaitsgory functor and contragradient duality for (g,K)-modules]]<br />
|Dima<br />
|-<br />
|May 4<br />
|John Lesieutre (UIC) <br />
|[[#John Lesieutre|Some higher-dimensional cases of the Kawaguchi-Silverman conjecture]]<br />
|Daniel<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
===Tasos Moulinos===<br />
<br />
'''Derived Azumaya Algebras and Twisted K-theory'''<br />
<br />
Topological K-theory of dg-categories is a localizing invariant of dg-categories over <math> \mathbb{C} </math><br />
taking values in the <math> \infty </math>-category of <math> KU </math>-modules. In this talk I describe a relative version<br />
of this construction; namely for <math>X</math> a quasi-compact, quasi-separated <math> \mathbb{C} </math>-scheme I construct a<br />
functor valued in the <math> \infty </math>-category of sheaves of spectra on <math> X(\mathbb{C}) </math>, the complex points of <math>X</math>. For inputs<br />
of the form <math>\operatorname{Perf}(X, A)</math> where <math>A</math> is an Azumaya algebra over <math>X</math>, I characterize the values<br />
of this functor in terms of the twisted topological K-theory of <math> X(\mathbb{C}) </math>. From this I deduce<br />
a certain decomposition, for <math> X </math> a finite CW-complex equipped with a bundle <math> P </math> of projective<br />
spaces over <math> X </math>, of <math> KU(P) </math> in terms of the twisted topological K-theory of <math> X </math> ; this is<br />
a topological analogue of a result of Quillen’s on the algebraic K-theory of Severi-Brauer<br />
schemes.<br />
<br />
===Roman Fedorov===<br />
<br />
'''A conjecture of Grothendieck and Serre on principal bundles in mixed<br />
characteristic'''<br />
<br />
Let G be a reductive group scheme over a regular local ring R. An old<br />
conjecture of Grothendieck and Serre predicts that such a principal<br />
bundle is trivial, if it is trivial over the fraction field of R. The<br />
conjecture has recently been proved in the "geometric" case, that is,<br />
when R contains a field. In the remaining case, the difficulty comes<br />
from the fact, that the situation is more rigid, so that a certain<br />
general position argument does not go through. I will discuss this<br />
difficulty and a way to circumvent it to obtain some partial results.<br />
<br />
===Juliette Bruce===<br />
<br />
'''Asymptotic Syzygies in the Semi-Ample Setting'''<br />
<br />
In recent years numerous conjectures have been made describing the asymptotic Betti numbers of a projective variety as the embedding line bundle becomes more ample. I will discuss recent work attempting to generalize these conjectures to the case when the embedding line bundle becomes more semi-ample. (Recall a line bundle is semi-ample if a sufficiently large multiple is base point free.) In particular, I will discuss how the monomial methods of Ein, Erman, and Lazarsfeld used to prove non-vanishing results on projective space can be extended to prove non-vanishing results for products of projective space.<br />
<br />
===Andrei Caldararu===<br />
<br />
'''Computing a categorical Gromov-Witten invariant'''<br />
<br />
In his 2005 paper "The Gromov-Witten potential associated to a TCFT" Kevin Costello described a procedure for recovering an analogue of the Gromov-Witten potential directly out of a cyclic A-inifinity algebra or category. Applying his construction to the derived category of sheaves of a complex projective variety provides a definition of higher genus B-model Gromov-Witten invariants, independent of the BCOV formalism. This has several advantages. Due to the categorical invariance of these invariants, categorical mirror symmetry automatically implies classical mirror symmetry to all genera. Also, the construction can be applied to other categories like categories of matrix factorization, giving a direct definition of FJRW invariants, for example.<br />
<br />
In my talk I shall describe the details of the computation (joint with Junwu Tu) of the invariant, at g=1, n=1, for elliptic curves. The result agrees with the predictions of mirror symmetry, matching classical calculations of Dijkgraaf. It is the first non-trivial computation of a categorical Gromov-Witten invariant.<br />
<br />
===Aron Heleodoro===<br />
<br />
'''Normally ordered tensor product of Tate objects and decomposition of higher adeles'''<br />
<br />
In this talk I will introduce the different tensor products that exist on Tate objects over vector spaces (or more generally coherent sheaves on a given scheme). As an application, I will explain how these can be used to describe higher adeles on an n-dimensional smooth scheme. Both Tate objects and higher adeles would be introduced in the talk. (This is based on joint work with Braunling, Groechenig and Wolfson.)<br />
<br />
===Moisés Herradón Cueto===<br />
<br />
'''Local type of difference equations'''<br />
<br />
The theory of algebraic differential equations on the affine line is very well-understood. In particular, there is a well-defined notion of restricting a D-module to a formal neighborhood of a point, and these restrictions are completely described by two vector spaces, called vanishing cycles and nearby cycles, and some maps between them. We give an analogous notion of "restriction to a formal disk" for difference equations that satisfies several desirable properties: first of all, a difference module can be recovered uniquely from its restriction to the complement of a point and its restriction to a formal disk around this point. Secondly, it gives rise to a local Mellin transform, which relates vanishing cycles of a difference module to nearby cycles of its Mellin transform. Since the Mellin transform of a difference module is a D-module, the Mellin transform brings us back to the familiar world of D-modules.<br />
<br />
===Eva Elduque===<br />
<br />
'''On the signed Euler characteristic property for subvarieties of Abelian varieties'''<br />
<br />
Franecki and Kapranov proved that the Euler characteristic of a perverse sheaf on a semi-abelian variety is non-negative. This result has several purely topological consequences regarding the sign of the (topological and intersection homology) Euler characteristic of a subvariety of an abelian variety, and it is natural to attempt to justify them by more elementary methods. In this talk, we'll explore the geometric tools used recently in the proof of the signed Euler<br />
characteristic property. Joint work with Christian Geske and Laurentiu Maxim.<br />
<br />
===Harrison Chen===<br />
<br />
'''Equivariant localization for periodic cyclic homology and derived loop spaces'''<br />
<br />
There is a close relationship between derived loop spaces, a geometric object, and (periodic) cyclic homology, a categorical invariant. In this talk we will discuss this relationship and how it leads to an equivariant localization result, which has an intuitive interpretation using the language of derived loop spaces. We discuss ongoing generalizations and potential applications in computing the periodic cyclic homology of categories of equivariant (coherent) sheaves on algebraic varieties.<br />
<br />
===Phil Tosteson===<br />
<br />
'''Stability in the homology of Deligne-Mumford compactifications'''<br />
<br />
The space <math>\bar M_{g,n}</math> is a compactification of the moduli space algebraic curves with marked points, obtained by allowing smooth curves to degenerate to nodal ones. We will talk about how the asymptotic behavior of its homology, <math>H_i(\bar M_{g,n})</math>, for <math>n \gg 0</math> can be studied using the representation theory of the category of finite sets and surjections.<br />
<br />
===Wei Ho===<br />
<br />
'''Noncommutative Galois closures and moduli problems'''<br />
<br />
In this talk, we will discuss the notion of a Galois closure for a possibly noncommutative algebra. We will explain how this problem is related to certain moduli problems involving genus one curves and torsors for Jacobians of higher genus curves. This is joint work with Matt Satriano.<br />
<br />
===Daniel Corey===<br />
<br />
'''Initial degenerations of Grassmannians'''<br />
<br />
Let Gr_0(d,n) denote the open subvariety of the Grassmannian Gr(d,n) consisting of d-1 dimensional subspaces of P^{n-1} meeting the toric boundary transversely. We prove that Gr_0(3,7) is schoen in the sense that all of its initial degenerations are smooth. The main technique we will use is to express the initial degenerations of Gr_0(3,7) as a inverse limit of thin Schubert cells. We use this to show that the Chow quotient of Gr(3,7) by the maximal torus H in GL(7) is the log canonical compactification of the moduli space of 7 lines in P^2 in linear general position.<br />
<br />
===Alena Pirutka===<br />
<br />
'''Irrationality problems'''<br />
<br />
Let X be a projective algebraic variety, the set of solutions of a system of homogeneous polynomial equations. Several classical notions describe how ``unconstrained'' the solutions are, i.e., how close X is to projective space: there are notions of rational, unirational and stably rational varieties. Over the field of complex numbers, these notions coincide in dimensions one and two, but diverge in higher<br />
dimensions. In the last years, many new classes of non stably rational varieties were found, using a specialization technique, introduced by C. Voisin. This method also allowed to prove that the rationality is not a deformation invariant in smooth and projective families of complex varieties: this is a joint work with B. Hassett and Y. Tschinkel. In my talk I will describe classical examples, as well as the recent progress around these rationality questions.<br />
<br />
===Nero Budur===<br />
<br />
'''Homotopy of singular algebraic varieties'''<br />
<br />
By work of Simpson, Kollár, Kapovich, every finitely generated group can be the fundamental group of an irreducible complex algebraic variety with only normal crossings and Whitney umbrellas as singularities. In contrast, we show that if a complex algebraic variety has no weight zero 1-cohomology classes, then the fundamental group is strongly restricted: the irreducible components of the cohomology jump loci of rank one local systems containing the constant sheaf are complex affine tori. Same for links and Milnor fibers. This is joint work with Marcel Rubió.<br />
<br />
<br />
===Alexander Yom Din===<br />
<br />
'''Drinfeld-Gaitsgory functor and contragradient duality for (g,K)-modules'''<br />
<br />
Drinfeld suggested the definition of a certain endo-functor, called the pseudo-identity functor (or the Drinfeld-Gaitsgory functor), on the category of D-modules on an algebraic stack. We extend this definition to an arbitrary DG category, and show that if certain finiteness conditions are satisfied, this functor is the inverse of the Serre functor. We show that the pseudo-identity functor for (g,K)-modules is isomorphic to the composition of cohomological and contragredient dualities, which is parallel to an analogous assertion for p-adic groups.<br />
<br />
In this talk I will try to discuss some of these results and around them. This is joint work with Dennis Gaitsgory.<br />
<br />
===John Lesieutre===<br />
'''Some higher-dimensional cases of the Kawaguchi-Silverman conjecture'''<br />
<br />
Given a dominant rational self-map f : X -->X of a variety defined over a number field, the first dynamical degree $\lambda_1(f)$ and the arithmetic degree $\alpha_f(P)$ are two measures of the complexity of the dynamics of f: the first measures the rate of growth of the degrees of the iterates f^n, while the second measures the rate of growth of the heights of the iterates f^n(P) for a point P. A conjecture of Kawaguchi and Silverman predicts that if P has Zariski-dense orbit, then these two quantities coincide. I will prove this conjecture in several higher-dimensional settings, including for all automorphisms of hyper-K\"ahler varieties. This is joint work with Matthew Satriano.</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Spring_2018_Schedule&diff=16582Spring 2018 Schedule2018-12-26T15:25:56Z<p>Nagreen: Created page with "== Spring 2018 Schedule == {| cellpadding="8" !align="left" | date !align="left" | speaker !align="left" | title !align="left" | host(s) |- |January 26 |[http://homepages.m..."</p>
<hr />
<div>== Spring 2018 Schedule ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s) <br />
<br />
|-<br />
|January 26<br />
|[http://homepages.math.uic.edu/~tmoulinos/ Tasos Moulinos (UIC)] <br />
|[[#Tasos Moulinos|Derived Azumaya Algebras and Twisted K-theory]]<br />
|Michael<br />
|-<br />
|February 2<br />
|Daniel Erman (Wisconsin) <br />
|[[#Daniel Erman|TBA]]<br />
|Local<br />
|-<br />
|'''February 8''' 2:30-3:30 in VV B113<br />
|[http://www.mathematics.pitt.edu/person/roman-fedorov/ Roman Fedorov (University of Pittsburgh)]<br />
|[[#Roman Fedorov|A conjecture of Grothendieck and Serre on principal bundles in mixed characteristic]]<br />
|Dima<br />
|-<br />
|February 9<br />
|Juliette Bruce (Wisconsin) <br />
|[[#Juliette Bruce|Asymptotic Syzygies in the Semi-Ample Setting ]]<br />
|Local<br />
|-<br />
|February 16<br />
|[http://www.math.wisc.edu/~andreic/ Andrei Caldararu (Wisconsin)]<br />
|[[#Andrei Caldararu|Computing a categorical Gromov-Witten invariant]]<br />
|Local<br />
|-<br />
|February 23<br />
|Aron Heleodoro (Northwestern) <br />
|[[#Aron Heleodoro|Normally ordered tensor product of Tate objects and decomposition of higher adeles]]<br />
|Dima<br />
|-<br />
|March 2<br />
|Moisés Herradón Cueto (Wisconsin)<br />
|[[#Moisés Herradón Cueto|Local type of difference equations]]<br />
|Local<br />
|-<br />
|March 9<br />
|Eva Elduque (Wisconsin)<br />
|[[#Eva Elduque|On the signed Euler characteristic property for subvarieties of Abelian varieties]]<br />
|Local<br />
|-<br />
|March 16<br />
|[https://math.berkeley.edu/~chenhi/ Harrison Chen (Berkeley)]<br />
|[[#Harrison Chen|Equivariant localization for periodic cyclic homology and derived loop spaces]]<br />
|Andrei<br />
|-<br />
|March 23<br />
|[http://www-personal.umich.edu/~ptoste/ Phil Tosteson (Michigan)]<br />
|[[#Phil Tosteson|Stability in the homology of Deligne-Mumford compactifications]]<br />
|Steven<br />
|-<br />
|-<br />
|April 6<br />
|[http://www-personal.umich.edu/~weiho/ Wei Ho (Michigan)]<br />
|Noncommutative Galois closures and moduli problems<br />
|Daniel/Wanlin<br />
|-<br />
|-<br />
|April 13<br />
|[https://sites.google.com/site/dcorey2814/ Daniel Corey (Yale)]<br />
|[#Corey|Initial degenerations of Grassmannians]<br />
|Daniel<br />
|-<br />
|April 20<br />
|Alena Pirutka (NYU)<br />
|[[#Alena Pirutka|Irrationality problems]]<br />
|Jordan<br />
|-<br />
|'''April 23''' 2:30-3:30 at 225 Ingraham<br />
|Nero Budur (Leuven)<br />
|[[#Nero Budur|Homotopy of singular algebraic varieties]]<br />
|Botong<br />
|-<br />
|April 27<br />
|Alexander Yom Din (Caltech) <br />
|[[#Alexander Yom Din|Drinfeld-Gaitsgory functor and contragradient duality for (g,K)-modules]]<br />
|Dima<br />
|-<br />
|May 4<br />
|John Lesieutre (UIC) <br />
|[[#John Lesieutre|Some higher-dimensional cases of the Kawaguchi-Silverman conjecture]]<br />
|Daniel<br />
|}</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Algebra_and_Algebraic_Geometry_Seminar_Spring_2018&diff=16581Algebra and Algebraic Geometry Seminar Spring 20182018-12-26T15:25:49Z<p>Nagreen: /* Schedules */</p>
<hr />
<div>The seminar meets on Fridays at 2:25 pm in room B235.<br />
<br />
Here is the schedule for [[Algebraic Geometry Seminar Spring 2017 | the previous semester]], [[Algebra and Algebraic Geometry Seminar Fall 2018 | the next semester]], and for [[Algebra and Algebraic Geometry Seminar | this semester]]. <br />
<br />
==Algebra and Algebraic Geometry Mailing List==<br />
<br />
<br />
*Please join the [https://admin.lists.wisc.edu/index.php?p=11&l=ags AGS Mailing List] to hear about upcoming seminars, lunches, and other algebraic geometry events in the department (it is possible you must be on a math department computer to use this link).<br />
<br />
<br />
== Schedules ==<br />
<br />
[[Algebra and Algebraic Geometry Seminar Fall 2018 | Fall 2018 schedule]]<br />
<br />
[[Spring 2018 Schedule]]<br />
<br />
== Spring 2018 Schedule ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s) <br />
<br />
|-<br />
|January 26<br />
|[http://homepages.math.uic.edu/~tmoulinos/ Tasos Moulinos (UIC)] <br />
|[[#Tasos Moulinos|Derived Azumaya Algebras and Twisted K-theory]]<br />
|Michael<br />
|-<br />
|February 2<br />
|Daniel Erman (Wisconsin) <br />
|[[#Daniel Erman|TBA]]<br />
|Local<br />
|-<br />
|'''February 8''' 2:30-3:30 in VV B113<br />
|[http://www.mathematics.pitt.edu/person/roman-fedorov/ Roman Fedorov (University of Pittsburgh)]<br />
|[[#Roman Fedorov|A conjecture of Grothendieck and Serre on principal bundles in mixed characteristic]]<br />
|Dima<br />
|-<br />
|February 9<br />
|Juliette Bruce (Wisconsin) <br />
|[[#Juliette Bruce|Asymptotic Syzygies in the Semi-Ample Setting ]]<br />
|Local<br />
|-<br />
|February 16<br />
|[http://www.math.wisc.edu/~andreic/ Andrei Caldararu (Wisconsin)]<br />
|[[#Andrei Caldararu|Computing a categorical Gromov-Witten invariant]]<br />
|Local<br />
|-<br />
|February 23<br />
|Aron Heleodoro (Northwestern) <br />
|[[#Aron Heleodoro|Normally ordered tensor product of Tate objects and decomposition of higher adeles]]<br />
|Dima<br />
|-<br />
|March 2<br />
|Moisés Herradón Cueto (Wisconsin)<br />
|[[#Moisés Herradón Cueto|Local type of difference equations]]<br />
|Local<br />
|-<br />
|March 9<br />
|Eva Elduque (Wisconsin)<br />
|[[#Eva Elduque|On the signed Euler characteristic property for subvarieties of Abelian varieties]]<br />
|Local<br />
|-<br />
|March 16<br />
|[https://math.berkeley.edu/~chenhi/ Harrison Chen (Berkeley)]<br />
|[[#Harrison Chen|Equivariant localization for periodic cyclic homology and derived loop spaces]]<br />
|Andrei<br />
|-<br />
|March 23<br />
|[http://www-personal.umich.edu/~ptoste/ Phil Tosteson (Michigan)]<br />
|[[#Phil Tosteson|Stability in the homology of Deligne-Mumford compactifications]]<br />
|Steven<br />
|-<br />
|-<br />
|April 6<br />
|[http://www-personal.umich.edu/~weiho/ Wei Ho (Michigan)]<br />
|Noncommutative Galois closures and moduli problems<br />
|Daniel/Wanlin<br />
|-<br />
|-<br />
|April 13<br />
|[https://sites.google.com/site/dcorey2814/ Daniel Corey (Yale)]<br />
|[#Corey|Initial degenerations of Grassmannians]<br />
|Daniel<br />
|-<br />
|April 20<br />
|Alena Pirutka (NYU)<br />
|[[#Alena Pirutka|Irrationality problems]]<br />
|Jordan<br />
|-<br />
|'''April 23''' 2:30-3:30 at 225 Ingraham<br />
|Nero Budur (Leuven)<br />
|[[#Nero Budur|Homotopy of singular algebraic varieties]]<br />
|Botong<br />
|-<br />
|April 27<br />
|Alexander Yom Din (Caltech) <br />
|[[#Alexander Yom Din|Drinfeld-Gaitsgory functor and contragradient duality for (g,K)-modules]]<br />
|Dima<br />
|-<br />
|May 4<br />
|John Lesieutre (UIC) <br />
|[[#John Lesieutre|Some higher-dimensional cases of the Kawaguchi-Silverman conjecture]]<br />
|Daniel<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
===Tasos Moulinos===<br />
<br />
'''Derived Azumaya Algebras and Twisted K-theory'''<br />
<br />
Topological K-theory of dg-categories is a localizing invariant of dg-categories over <math> \mathbb{C} </math><br />
taking values in the <math> \infty </math>-category of <math> KU </math>-modules. In this talk I describe a relative version<br />
of this construction; namely for <math>X</math> a quasi-compact, quasi-separated <math> \mathbb{C} </math>-scheme I construct a<br />
functor valued in the <math> \infty </math>-category of sheaves of spectra on <math> X(\mathbb{C}) </math>, the complex points of <math>X</math>. For inputs<br />
of the form <math>\operatorname{Perf}(X, A)</math> where <math>A</math> is an Azumaya algebra over <math>X</math>, I characterize the values<br />
of this functor in terms of the twisted topological K-theory of <math> X(\mathbb{C}) </math>. From this I deduce<br />
a certain decomposition, for <math> X </math> a finite CW-complex equipped with a bundle <math> P </math> of projective<br />
spaces over <math> X </math>, of <math> KU(P) </math> in terms of the twisted topological K-theory of <math> X </math> ; this is<br />
a topological analogue of a result of Quillen’s on the algebraic K-theory of Severi-Brauer<br />
schemes.<br />
<br />
===Roman Fedorov===<br />
<br />
'''A conjecture of Grothendieck and Serre on principal bundles in mixed<br />
characteristic'''<br />
<br />
Let G be a reductive group scheme over a regular local ring R. An old<br />
conjecture of Grothendieck and Serre predicts that such a principal<br />
bundle is trivial, if it is trivial over the fraction field of R. The<br />
conjecture has recently been proved in the "geometric" case, that is,<br />
when R contains a field. In the remaining case, the difficulty comes<br />
from the fact, that the situation is more rigid, so that a certain<br />
general position argument does not go through. I will discuss this<br />
difficulty and a way to circumvent it to obtain some partial results.<br />
<br />
===Juliette Bruce===<br />
<br />
'''Asymptotic Syzygies in the Semi-Ample Setting'''<br />
<br />
In recent years numerous conjectures have been made describing the asymptotic Betti numbers of a projective variety as the embedding line bundle becomes more ample. I will discuss recent work attempting to generalize these conjectures to the case when the embedding line bundle becomes more semi-ample. (Recall a line bundle is semi-ample if a sufficiently large multiple is base point free.) In particular, I will discuss how the monomial methods of Ein, Erman, and Lazarsfeld used to prove non-vanishing results on projective space can be extended to prove non-vanishing results for products of projective space.<br />
<br />
===Andrei Caldararu===<br />
<br />
'''Computing a categorical Gromov-Witten invariant'''<br />
<br />
In his 2005 paper "The Gromov-Witten potential associated to a TCFT" Kevin Costello described a procedure for recovering an analogue of the Gromov-Witten potential directly out of a cyclic A-inifinity algebra or category. Applying his construction to the derived category of sheaves of a complex projective variety provides a definition of higher genus B-model Gromov-Witten invariants, independent of the BCOV formalism. This has several advantages. Due to the categorical invariance of these invariants, categorical mirror symmetry automatically implies classical mirror symmetry to all genera. Also, the construction can be applied to other categories like categories of matrix factorization, giving a direct definition of FJRW invariants, for example.<br />
<br />
In my talk I shall describe the details of the computation (joint with Junwu Tu) of the invariant, at g=1, n=1, for elliptic curves. The result agrees with the predictions of mirror symmetry, matching classical calculations of Dijkgraaf. It is the first non-trivial computation of a categorical Gromov-Witten invariant.<br />
<br />
===Aron Heleodoro===<br />
<br />
'''Normally ordered tensor product of Tate objects and decomposition of higher adeles'''<br />
<br />
In this talk I will introduce the different tensor products that exist on Tate objects over vector spaces (or more generally coherent sheaves on a given scheme). As an application, I will explain how these can be used to describe higher adeles on an n-dimensional smooth scheme. Both Tate objects and higher adeles would be introduced in the talk. (This is based on joint work with Braunling, Groechenig and Wolfson.)<br />
<br />
===Moisés Herradón Cueto===<br />
<br />
'''Local type of difference equations'''<br />
<br />
The theory of algebraic differential equations on the affine line is very well-understood. In particular, there is a well-defined notion of restricting a D-module to a formal neighborhood of a point, and these restrictions are completely described by two vector spaces, called vanishing cycles and nearby cycles, and some maps between them. We give an analogous notion of "restriction to a formal disk" for difference equations that satisfies several desirable properties: first of all, a difference module can be recovered uniquely from its restriction to the complement of a point and its restriction to a formal disk around this point. Secondly, it gives rise to a local Mellin transform, which relates vanishing cycles of a difference module to nearby cycles of its Mellin transform. Since the Mellin transform of a difference module is a D-module, the Mellin transform brings us back to the familiar world of D-modules.<br />
<br />
===Eva Elduque===<br />
<br />
'''On the signed Euler characteristic property for subvarieties of Abelian varieties'''<br />
<br />
Franecki and Kapranov proved that the Euler characteristic of a perverse sheaf on a semi-abelian variety is non-negative. This result has several purely topological consequences regarding the sign of the (topological and intersection homology) Euler characteristic of a subvariety of an abelian variety, and it is natural to attempt to justify them by more elementary methods. In this talk, we'll explore the geometric tools used recently in the proof of the signed Euler<br />
characteristic property. Joint work with Christian Geske and Laurentiu Maxim.<br />
<br />
===Harrison Chen===<br />
<br />
'''Equivariant localization for periodic cyclic homology and derived loop spaces'''<br />
<br />
There is a close relationship between derived loop spaces, a geometric object, and (periodic) cyclic homology, a categorical invariant. In this talk we will discuss this relationship and how it leads to an equivariant localization result, which has an intuitive interpretation using the language of derived loop spaces. We discuss ongoing generalizations and potential applications in computing the periodic cyclic homology of categories of equivariant (coherent) sheaves on algebraic varieties.<br />
<br />
===Phil Tosteson===<br />
<br />
'''Stability in the homology of Deligne-Mumford compactifications'''<br />
<br />
The space <math>\bar M_{g,n}</math> is a compactification of the moduli space algebraic curves with marked points, obtained by allowing smooth curves to degenerate to nodal ones. We will talk about how the asymptotic behavior of its homology, <math>H_i(\bar M_{g,n})</math>, for <math>n \gg 0</math> can be studied using the representation theory of the category of finite sets and surjections.<br />
<br />
===Wei Ho===<br />
<br />
'''Noncommutative Galois closures and moduli problems'''<br />
<br />
In this talk, we will discuss the notion of a Galois closure for a possibly noncommutative algebra. We will explain how this problem is related to certain moduli problems involving genus one curves and torsors for Jacobians of higher genus curves. This is joint work with Matt Satriano.<br />
<br />
===Daniel Corey===<br />
<br />
'''Initial degenerations of Grassmannians'''<br />
<br />
Let Gr_0(d,n) denote the open subvariety of the Grassmannian Gr(d,n) consisting of d-1 dimensional subspaces of P^{n-1} meeting the toric boundary transversely. We prove that Gr_0(3,7) is schoen in the sense that all of its initial degenerations are smooth. The main technique we will use is to express the initial degenerations of Gr_0(3,7) as a inverse limit of thin Schubert cells. We use this to show that the Chow quotient of Gr(3,7) by the maximal torus H in GL(7) is the log canonical compactification of the moduli space of 7 lines in P^2 in linear general position.<br />
<br />
===Alena Pirutka===<br />
<br />
'''Irrationality problems'''<br />
<br />
Let X be a projective algebraic variety, the set of solutions of a system of homogeneous polynomial equations. Several classical notions describe how ``unconstrained'' the solutions are, i.e., how close X is to projective space: there are notions of rational, unirational and stably rational varieties. Over the field of complex numbers, these notions coincide in dimensions one and two, but diverge in higher<br />
dimensions. In the last years, many new classes of non stably rational varieties were found, using a specialization technique, introduced by C. Voisin. This method also allowed to prove that the rationality is not a deformation invariant in smooth and projective families of complex varieties: this is a joint work with B. Hassett and Y. Tschinkel. In my talk I will describe classical examples, as well as the recent progress around these rationality questions.<br />
<br />
===Nero Budur===<br />
<br />
'''Homotopy of singular algebraic varieties'''<br />
<br />
By work of Simpson, Kollár, Kapovich, every finitely generated group can be the fundamental group of an irreducible complex algebraic variety with only normal crossings and Whitney umbrellas as singularities. In contrast, we show that if a complex algebraic variety has no weight zero 1-cohomology classes, then the fundamental group is strongly restricted: the irreducible components of the cohomology jump loci of rank one local systems containing the constant sheaf are complex affine tori. Same for links and Milnor fibers. This is joint work with Marcel Rubió.<br />
<br />
<br />
===Alexander Yom Din===<br />
<br />
'''Drinfeld-Gaitsgory functor and contragradient duality for (g,K)-modules'''<br />
<br />
Drinfeld suggested the definition of a certain endo-functor, called the pseudo-identity functor (or the Drinfeld-Gaitsgory functor), on the category of D-modules on an algebraic stack. We extend this definition to an arbitrary DG category, and show that if certain finiteness conditions are satisfied, this functor is the inverse of the Serre functor. We show that the pseudo-identity functor for (g,K)-modules is isomorphic to the composition of cohomological and contragredient dualities, which is parallel to an analogous assertion for p-adic groups.<br />
<br />
In this talk I will try to discuss some of these results and around them. This is joint work with Dennis Gaitsgory.<br />
<br />
===John Lesieutre===<br />
'''Some higher-dimensional cases of the Kawaguchi-Silverman conjecture'''<br />
<br />
Given a dominant rational self-map f : X -->X of a variety defined over a number field, the first dynamical degree $\lambda_1(f)$ and the arithmetic degree $\alpha_f(P)$ are two measures of the complexity of the dynamics of f: the first measures the rate of growth of the degrees of the iterates f^n, while the second measures the rate of growth of the heights of the iterates f^n(P) for a point P. A conjecture of Kawaguchi and Silverman predicts that if P has Zariski-dense orbit, then these two quantities coincide. I will prove this conjecture in several higher-dimensional settings, including for all automorphisms of hyper-K\"ahler varieties. This is joint work with Matthew Satriano.</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Algebra_and_Algebraic_Geometry_Seminar_Spring_2018&diff=16580Algebra and Algebraic Geometry Seminar Spring 20182018-12-26T15:25:24Z<p>Nagreen: /* Schedules */</p>
<hr />
<div>The seminar meets on Fridays at 2:25 pm in room B235.<br />
<br />
Here is the schedule for [[Algebraic Geometry Seminar Spring 2017 | the previous semester]], [[Algebra and Algebraic Geometry Seminar Fall 2018 | the next semester]], and for [[Algebra and Algebraic Geometry Seminar | this semester]]. <br />
<br />
==Algebra and Algebraic Geometry Mailing List==<br />
<br />
<br />
*Please join the [https://admin.lists.wisc.edu/index.php?p=11&l=ags AGS Mailing List] to hear about upcoming seminars, lunches, and other algebraic geometry events in the department (it is possible you must be on a math department computer to use this link).<br />
<br />
<br />
== Schedules ==<br />
<br />
[[Algebra and Algebraic Geometry Seminar Fall 2018 | Fall 2018 schedule]]<br />
<br />
[[Algebra and Algebraic Geometry Seminar Spring 2018 | Spring 2018 schedule]]<br />
<br />
== Spring 2018 Schedule ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s) <br />
<br />
|-<br />
|January 26<br />
|[http://homepages.math.uic.edu/~tmoulinos/ Tasos Moulinos (UIC)] <br />
|[[#Tasos Moulinos|Derived Azumaya Algebras and Twisted K-theory]]<br />
|Michael<br />
|-<br />
|February 2<br />
|Daniel Erman (Wisconsin) <br />
|[[#Daniel Erman|TBA]]<br />
|Local<br />
|-<br />
|'''February 8''' 2:30-3:30 in VV B113<br />
|[http://www.mathematics.pitt.edu/person/roman-fedorov/ Roman Fedorov (University of Pittsburgh)]<br />
|[[#Roman Fedorov|A conjecture of Grothendieck and Serre on principal bundles in mixed characteristic]]<br />
|Dima<br />
|-<br />
|February 9<br />
|Juliette Bruce (Wisconsin) <br />
|[[#Juliette Bruce|Asymptotic Syzygies in the Semi-Ample Setting ]]<br />
|Local<br />
|-<br />
|February 16<br />
|[http://www.math.wisc.edu/~andreic/ Andrei Caldararu (Wisconsin)]<br />
|[[#Andrei Caldararu|Computing a categorical Gromov-Witten invariant]]<br />
|Local<br />
|-<br />
|February 23<br />
|Aron Heleodoro (Northwestern) <br />
|[[#Aron Heleodoro|Normally ordered tensor product of Tate objects and decomposition of higher adeles]]<br />
|Dima<br />
|-<br />
|March 2<br />
|Moisés Herradón Cueto (Wisconsin)<br />
|[[#Moisés Herradón Cueto|Local type of difference equations]]<br />
|Local<br />
|-<br />
|March 9<br />
|Eva Elduque (Wisconsin)<br />
|[[#Eva Elduque|On the signed Euler characteristic property for subvarieties of Abelian varieties]]<br />
|Local<br />
|-<br />
|March 16<br />
|[https://math.berkeley.edu/~chenhi/ Harrison Chen (Berkeley)]<br />
|[[#Harrison Chen|Equivariant localization for periodic cyclic homology and derived loop spaces]]<br />
|Andrei<br />
|-<br />
|March 23<br />
|[http://www-personal.umich.edu/~ptoste/ Phil Tosteson (Michigan)]<br />
|[[#Phil Tosteson|Stability in the homology of Deligne-Mumford compactifications]]<br />
|Steven<br />
|-<br />
|-<br />
|April 6<br />
|[http://www-personal.umich.edu/~weiho/ Wei Ho (Michigan)]<br />
|Noncommutative Galois closures and moduli problems<br />
|Daniel/Wanlin<br />
|-<br />
|-<br />
|April 13<br />
|[https://sites.google.com/site/dcorey2814/ Daniel Corey (Yale)]<br />
|[#Corey|Initial degenerations of Grassmannians]<br />
|Daniel<br />
|-<br />
|April 20<br />
|Alena Pirutka (NYU)<br />
|[[#Alena Pirutka|Irrationality problems]]<br />
|Jordan<br />
|-<br />
|'''April 23''' 2:30-3:30 at 225 Ingraham<br />
|Nero Budur (Leuven)<br />
|[[#Nero Budur|Homotopy of singular algebraic varieties]]<br />
|Botong<br />
|-<br />
|April 27<br />
|Alexander Yom Din (Caltech) <br />
|[[#Alexander Yom Din|Drinfeld-Gaitsgory functor and contragradient duality for (g,K)-modules]]<br />
|Dima<br />
|-<br />
|May 4<br />
|John Lesieutre (UIC) <br />
|[[#John Lesieutre|Some higher-dimensional cases of the Kawaguchi-Silverman conjecture]]<br />
|Daniel<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
===Tasos Moulinos===<br />
<br />
'''Derived Azumaya Algebras and Twisted K-theory'''<br />
<br />
Topological K-theory of dg-categories is a localizing invariant of dg-categories over <math> \mathbb{C} </math><br />
taking values in the <math> \infty </math>-category of <math> KU </math>-modules. In this talk I describe a relative version<br />
of this construction; namely for <math>X</math> a quasi-compact, quasi-separated <math> \mathbb{C} </math>-scheme I construct a<br />
functor valued in the <math> \infty </math>-category of sheaves of spectra on <math> X(\mathbb{C}) </math>, the complex points of <math>X</math>. For inputs<br />
of the form <math>\operatorname{Perf}(X, A)</math> where <math>A</math> is an Azumaya algebra over <math>X</math>, I characterize the values<br />
of this functor in terms of the twisted topological K-theory of <math> X(\mathbb{C}) </math>. From this I deduce<br />
a certain decomposition, for <math> X </math> a finite CW-complex equipped with a bundle <math> P </math> of projective<br />
spaces over <math> X </math>, of <math> KU(P) </math> in terms of the twisted topological K-theory of <math> X </math> ; this is<br />
a topological analogue of a result of Quillen’s on the algebraic K-theory of Severi-Brauer<br />
schemes.<br />
<br />
===Roman Fedorov===<br />
<br />
'''A conjecture of Grothendieck and Serre on principal bundles in mixed<br />
characteristic'''<br />
<br />
Let G be a reductive group scheme over a regular local ring R. An old<br />
conjecture of Grothendieck and Serre predicts that such a principal<br />
bundle is trivial, if it is trivial over the fraction field of R. The<br />
conjecture has recently been proved in the "geometric" case, that is,<br />
when R contains a field. In the remaining case, the difficulty comes<br />
from the fact, that the situation is more rigid, so that a certain<br />
general position argument does not go through. I will discuss this<br />
difficulty and a way to circumvent it to obtain some partial results.<br />
<br />
===Juliette Bruce===<br />
<br />
'''Asymptotic Syzygies in the Semi-Ample Setting'''<br />
<br />
In recent years numerous conjectures have been made describing the asymptotic Betti numbers of a projective variety as the embedding line bundle becomes more ample. I will discuss recent work attempting to generalize these conjectures to the case when the embedding line bundle becomes more semi-ample. (Recall a line bundle is semi-ample if a sufficiently large multiple is base point free.) In particular, I will discuss how the monomial methods of Ein, Erman, and Lazarsfeld used to prove non-vanishing results on projective space can be extended to prove non-vanishing results for products of projective space.<br />
<br />
===Andrei Caldararu===<br />
<br />
'''Computing a categorical Gromov-Witten invariant'''<br />
<br />
In his 2005 paper "The Gromov-Witten potential associated to a TCFT" Kevin Costello described a procedure for recovering an analogue of the Gromov-Witten potential directly out of a cyclic A-inifinity algebra or category. Applying his construction to the derived category of sheaves of a complex projective variety provides a definition of higher genus B-model Gromov-Witten invariants, independent of the BCOV formalism. This has several advantages. Due to the categorical invariance of these invariants, categorical mirror symmetry automatically implies classical mirror symmetry to all genera. Also, the construction can be applied to other categories like categories of matrix factorization, giving a direct definition of FJRW invariants, for example.<br />
<br />
In my talk I shall describe the details of the computation (joint with Junwu Tu) of the invariant, at g=1, n=1, for elliptic curves. The result agrees with the predictions of mirror symmetry, matching classical calculations of Dijkgraaf. It is the first non-trivial computation of a categorical Gromov-Witten invariant.<br />
<br />
===Aron Heleodoro===<br />
<br />
'''Normally ordered tensor product of Tate objects and decomposition of higher adeles'''<br />
<br />
In this talk I will introduce the different tensor products that exist on Tate objects over vector spaces (or more generally coherent sheaves on a given scheme). As an application, I will explain how these can be used to describe higher adeles on an n-dimensional smooth scheme. Both Tate objects and higher adeles would be introduced in the talk. (This is based on joint work with Braunling, Groechenig and Wolfson.)<br />
<br />
===Moisés Herradón Cueto===<br />
<br />
'''Local type of difference equations'''<br />
<br />
The theory of algebraic differential equations on the affine line is very well-understood. In particular, there is a well-defined notion of restricting a D-module to a formal neighborhood of a point, and these restrictions are completely described by two vector spaces, called vanishing cycles and nearby cycles, and some maps between them. We give an analogous notion of "restriction to a formal disk" for difference equations that satisfies several desirable properties: first of all, a difference module can be recovered uniquely from its restriction to the complement of a point and its restriction to a formal disk around this point. Secondly, it gives rise to a local Mellin transform, which relates vanishing cycles of a difference module to nearby cycles of its Mellin transform. Since the Mellin transform of a difference module is a D-module, the Mellin transform brings us back to the familiar world of D-modules.<br />
<br />
===Eva Elduque===<br />
<br />
'''On the signed Euler characteristic property for subvarieties of Abelian varieties'''<br />
<br />
Franecki and Kapranov proved that the Euler characteristic of a perverse sheaf on a semi-abelian variety is non-negative. This result has several purely topological consequences regarding the sign of the (topological and intersection homology) Euler characteristic of a subvariety of an abelian variety, and it is natural to attempt to justify them by more elementary methods. In this talk, we'll explore the geometric tools used recently in the proof of the signed Euler<br />
characteristic property. Joint work with Christian Geske and Laurentiu Maxim.<br />
<br />
===Harrison Chen===<br />
<br />
'''Equivariant localization for periodic cyclic homology and derived loop spaces'''<br />
<br />
There is a close relationship between derived loop spaces, a geometric object, and (periodic) cyclic homology, a categorical invariant. In this talk we will discuss this relationship and how it leads to an equivariant localization result, which has an intuitive interpretation using the language of derived loop spaces. We discuss ongoing generalizations and potential applications in computing the periodic cyclic homology of categories of equivariant (coherent) sheaves on algebraic varieties.<br />
<br />
===Phil Tosteson===<br />
<br />
'''Stability in the homology of Deligne-Mumford compactifications'''<br />
<br />
The space <math>\bar M_{g,n}</math> is a compactification of the moduli space algebraic curves with marked points, obtained by allowing smooth curves to degenerate to nodal ones. We will talk about how the asymptotic behavior of its homology, <math>H_i(\bar M_{g,n})</math>, for <math>n \gg 0</math> can be studied using the representation theory of the category of finite sets and surjections.<br />
<br />
===Wei Ho===<br />
<br />
'''Noncommutative Galois closures and moduli problems'''<br />
<br />
In this talk, we will discuss the notion of a Galois closure for a possibly noncommutative algebra. We will explain how this problem is related to certain moduli problems involving genus one curves and torsors for Jacobians of higher genus curves. This is joint work with Matt Satriano.<br />
<br />
===Daniel Corey===<br />
<br />
'''Initial degenerations of Grassmannians'''<br />
<br />
Let Gr_0(d,n) denote the open subvariety of the Grassmannian Gr(d,n) consisting of d-1 dimensional subspaces of P^{n-1} meeting the toric boundary transversely. We prove that Gr_0(3,7) is schoen in the sense that all of its initial degenerations are smooth. The main technique we will use is to express the initial degenerations of Gr_0(3,7) as a inverse limit of thin Schubert cells. We use this to show that the Chow quotient of Gr(3,7) by the maximal torus H in GL(7) is the log canonical compactification of the moduli space of 7 lines in P^2 in linear general position.<br />
<br />
===Alena Pirutka===<br />
<br />
'''Irrationality problems'''<br />
<br />
Let X be a projective algebraic variety, the set of solutions of a system of homogeneous polynomial equations. Several classical notions describe how ``unconstrained'' the solutions are, i.e., how close X is to projective space: there are notions of rational, unirational and stably rational varieties. Over the field of complex numbers, these notions coincide in dimensions one and two, but diverge in higher<br />
dimensions. In the last years, many new classes of non stably rational varieties were found, using a specialization technique, introduced by C. Voisin. This method also allowed to prove that the rationality is not a deformation invariant in smooth and projective families of complex varieties: this is a joint work with B. Hassett and Y. Tschinkel. In my talk I will describe classical examples, as well as the recent progress around these rationality questions.<br />
<br />
===Nero Budur===<br />
<br />
'''Homotopy of singular algebraic varieties'''<br />
<br />
By work of Simpson, Kollár, Kapovich, every finitely generated group can be the fundamental group of an irreducible complex algebraic variety with only normal crossings and Whitney umbrellas as singularities. In contrast, we show that if a complex algebraic variety has no weight zero 1-cohomology classes, then the fundamental group is strongly restricted: the irreducible components of the cohomology jump loci of rank one local systems containing the constant sheaf are complex affine tori. Same for links and Milnor fibers. This is joint work with Marcel Rubió.<br />
<br />
<br />
===Alexander Yom Din===<br />
<br />
'''Drinfeld-Gaitsgory functor and contragradient duality for (g,K)-modules'''<br />
<br />
Drinfeld suggested the definition of a certain endo-functor, called the pseudo-identity functor (or the Drinfeld-Gaitsgory functor), on the category of D-modules on an algebraic stack. We extend this definition to an arbitrary DG category, and show that if certain finiteness conditions are satisfied, this functor is the inverse of the Serre functor. We show that the pseudo-identity functor for (g,K)-modules is isomorphic to the composition of cohomological and contragredient dualities, which is parallel to an analogous assertion for p-adic groups.<br />
<br />
In this talk I will try to discuss some of these results and around them. This is joint work with Dennis Gaitsgory.<br />
<br />
===John Lesieutre===<br />
'''Some higher-dimensional cases of the Kawaguchi-Silverman conjecture'''<br />
<br />
Given a dominant rational self-map f : X -->X of a variety defined over a number field, the first dynamical degree $\lambda_1(f)$ and the arithmetic degree $\alpha_f(P)$ are two measures of the complexity of the dynamics of f: the first measures the rate of growth of the degrees of the iterates f^n, while the second measures the rate of growth of the heights of the iterates f^n(P) for a point P. A conjecture of Kawaguchi and Silverman predicts that if P has Zariski-dense orbit, then these two quantities coincide. I will prove this conjecture in several higher-dimensional settings, including for all automorphisms of hyper-K\"ahler varieties. This is joint work with Matthew Satriano.</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Algebra_and_Algebraic_Geometry_Seminar_Spring_2018&diff=16579Algebra and Algebraic Geometry Seminar Spring 20182018-12-26T15:25:05Z<p>Nagreen: /* Fall 2018 Schedule */</p>
<hr />
<div>The seminar meets on Fridays at 2:25 pm in room B235.<br />
<br />
Here is the schedule for [[Algebraic Geometry Seminar Spring 2017 | the previous semester]], [[Algebra and Algebraic Geometry Seminar Fall 2018 | the next semester]], and for [[Algebra and Algebraic Geometry Seminar | this semester]]. <br />
<br />
==Algebra and Algebraic Geometry Mailing List==<br />
<br />
<br />
*Please join the [https://admin.lists.wisc.edu/index.php?p=11&l=ags AGS Mailing List] to hear about upcoming seminars, lunches, and other algebraic geometry events in the department (it is possible you must be on a math department computer to use this link).<br />
<br />
<br />
== Schedules ==<br />
<br />
[[Algebra and Algebraic Geometry Seminar Fall 2018 | Fall 2018 schedule]]<br />
[[Algebra and Algebraic Geometry Seminar Spring 2018 | Spring 2018 schedule]]<br />
<br />
== Spring 2018 Schedule ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s) <br />
<br />
|-<br />
|January 26<br />
|[http://homepages.math.uic.edu/~tmoulinos/ Tasos Moulinos (UIC)] <br />
|[[#Tasos Moulinos|Derived Azumaya Algebras and Twisted K-theory]]<br />
|Michael<br />
|-<br />
|February 2<br />
|Daniel Erman (Wisconsin) <br />
|[[#Daniel Erman|TBA]]<br />
|Local<br />
|-<br />
|'''February 8''' 2:30-3:30 in VV B113<br />
|[http://www.mathematics.pitt.edu/person/roman-fedorov/ Roman Fedorov (University of Pittsburgh)]<br />
|[[#Roman Fedorov|A conjecture of Grothendieck and Serre on principal bundles in mixed characteristic]]<br />
|Dima<br />
|-<br />
|February 9<br />
|Juliette Bruce (Wisconsin) <br />
|[[#Juliette Bruce|Asymptotic Syzygies in the Semi-Ample Setting ]]<br />
|Local<br />
|-<br />
|February 16<br />
|[http://www.math.wisc.edu/~andreic/ Andrei Caldararu (Wisconsin)]<br />
|[[#Andrei Caldararu|Computing a categorical Gromov-Witten invariant]]<br />
|Local<br />
|-<br />
|February 23<br />
|Aron Heleodoro (Northwestern) <br />
|[[#Aron Heleodoro|Normally ordered tensor product of Tate objects and decomposition of higher adeles]]<br />
|Dima<br />
|-<br />
|March 2<br />
|Moisés Herradón Cueto (Wisconsin)<br />
|[[#Moisés Herradón Cueto|Local type of difference equations]]<br />
|Local<br />
|-<br />
|March 9<br />
|Eva Elduque (Wisconsin)<br />
|[[#Eva Elduque|On the signed Euler characteristic property for subvarieties of Abelian varieties]]<br />
|Local<br />
|-<br />
|March 16<br />
|[https://math.berkeley.edu/~chenhi/ Harrison Chen (Berkeley)]<br />
|[[#Harrison Chen|Equivariant localization for periodic cyclic homology and derived loop spaces]]<br />
|Andrei<br />
|-<br />
|March 23<br />
|[http://www-personal.umich.edu/~ptoste/ Phil Tosteson (Michigan)]<br />
|[[#Phil Tosteson|Stability in the homology of Deligne-Mumford compactifications]]<br />
|Steven<br />
|-<br />
|-<br />
|April 6<br />
|[http://www-personal.umich.edu/~weiho/ Wei Ho (Michigan)]<br />
|Noncommutative Galois closures and moduli problems<br />
|Daniel/Wanlin<br />
|-<br />
|-<br />
|April 13<br />
|[https://sites.google.com/site/dcorey2814/ Daniel Corey (Yale)]<br />
|[#Corey|Initial degenerations of Grassmannians]<br />
|Daniel<br />
|-<br />
|April 20<br />
|Alena Pirutka (NYU)<br />
|[[#Alena Pirutka|Irrationality problems]]<br />
|Jordan<br />
|-<br />
|'''April 23''' 2:30-3:30 at 225 Ingraham<br />
|Nero Budur (Leuven)<br />
|[[#Nero Budur|Homotopy of singular algebraic varieties]]<br />
|Botong<br />
|-<br />
|April 27<br />
|Alexander Yom Din (Caltech) <br />
|[[#Alexander Yom Din|Drinfeld-Gaitsgory functor and contragradient duality for (g,K)-modules]]<br />
|Dima<br />
|-<br />
|May 4<br />
|John Lesieutre (UIC) <br />
|[[#John Lesieutre|Some higher-dimensional cases of the Kawaguchi-Silverman conjecture]]<br />
|Daniel<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
===Tasos Moulinos===<br />
<br />
'''Derived Azumaya Algebras and Twisted K-theory'''<br />
<br />
Topological K-theory of dg-categories is a localizing invariant of dg-categories over <math> \mathbb{C} </math><br />
taking values in the <math> \infty </math>-category of <math> KU </math>-modules. In this talk I describe a relative version<br />
of this construction; namely for <math>X</math> a quasi-compact, quasi-separated <math> \mathbb{C} </math>-scheme I construct a<br />
functor valued in the <math> \infty </math>-category of sheaves of spectra on <math> X(\mathbb{C}) </math>, the complex points of <math>X</math>. For inputs<br />
of the form <math>\operatorname{Perf}(X, A)</math> where <math>A</math> is an Azumaya algebra over <math>X</math>, I characterize the values<br />
of this functor in terms of the twisted topological K-theory of <math> X(\mathbb{C}) </math>. From this I deduce<br />
a certain decomposition, for <math> X </math> a finite CW-complex equipped with a bundle <math> P </math> of projective<br />
spaces over <math> X </math>, of <math> KU(P) </math> in terms of the twisted topological K-theory of <math> X </math> ; this is<br />
a topological analogue of a result of Quillen’s on the algebraic K-theory of Severi-Brauer<br />
schemes.<br />
<br />
===Roman Fedorov===<br />
<br />
'''A conjecture of Grothendieck and Serre on principal bundles in mixed<br />
characteristic'''<br />
<br />
Let G be a reductive group scheme over a regular local ring R. An old<br />
conjecture of Grothendieck and Serre predicts that such a principal<br />
bundle is trivial, if it is trivial over the fraction field of R. The<br />
conjecture has recently been proved in the "geometric" case, that is,<br />
when R contains a field. In the remaining case, the difficulty comes<br />
from the fact, that the situation is more rigid, so that a certain<br />
general position argument does not go through. I will discuss this<br />
difficulty and a way to circumvent it to obtain some partial results.<br />
<br />
===Juliette Bruce===<br />
<br />
'''Asymptotic Syzygies in the Semi-Ample Setting'''<br />
<br />
In recent years numerous conjectures have been made describing the asymptotic Betti numbers of a projective variety as the embedding line bundle becomes more ample. I will discuss recent work attempting to generalize these conjectures to the case when the embedding line bundle becomes more semi-ample. (Recall a line bundle is semi-ample if a sufficiently large multiple is base point free.) In particular, I will discuss how the monomial methods of Ein, Erman, and Lazarsfeld used to prove non-vanishing results on projective space can be extended to prove non-vanishing results for products of projective space.<br />
<br />
===Andrei Caldararu===<br />
<br />
'''Computing a categorical Gromov-Witten invariant'''<br />
<br />
In his 2005 paper "The Gromov-Witten potential associated to a TCFT" Kevin Costello described a procedure for recovering an analogue of the Gromov-Witten potential directly out of a cyclic A-inifinity algebra or category. Applying his construction to the derived category of sheaves of a complex projective variety provides a definition of higher genus B-model Gromov-Witten invariants, independent of the BCOV formalism. This has several advantages. Due to the categorical invariance of these invariants, categorical mirror symmetry automatically implies classical mirror symmetry to all genera. Also, the construction can be applied to other categories like categories of matrix factorization, giving a direct definition of FJRW invariants, for example.<br />
<br />
In my talk I shall describe the details of the computation (joint with Junwu Tu) of the invariant, at g=1, n=1, for elliptic curves. The result agrees with the predictions of mirror symmetry, matching classical calculations of Dijkgraaf. It is the first non-trivial computation of a categorical Gromov-Witten invariant.<br />
<br />
===Aron Heleodoro===<br />
<br />
'''Normally ordered tensor product of Tate objects and decomposition of higher adeles'''<br />
<br />
In this talk I will introduce the different tensor products that exist on Tate objects over vector spaces (or more generally coherent sheaves on a given scheme). As an application, I will explain how these can be used to describe higher adeles on an n-dimensional smooth scheme. Both Tate objects and higher adeles would be introduced in the talk. (This is based on joint work with Braunling, Groechenig and Wolfson.)<br />
<br />
===Moisés Herradón Cueto===<br />
<br />
'''Local type of difference equations'''<br />
<br />
The theory of algebraic differential equations on the affine line is very well-understood. In particular, there is a well-defined notion of restricting a D-module to a formal neighborhood of a point, and these restrictions are completely described by two vector spaces, called vanishing cycles and nearby cycles, and some maps between them. We give an analogous notion of "restriction to a formal disk" for difference equations that satisfies several desirable properties: first of all, a difference module can be recovered uniquely from its restriction to the complement of a point and its restriction to a formal disk around this point. Secondly, it gives rise to a local Mellin transform, which relates vanishing cycles of a difference module to nearby cycles of its Mellin transform. Since the Mellin transform of a difference module is a D-module, the Mellin transform brings us back to the familiar world of D-modules.<br />
<br />
===Eva Elduque===<br />
<br />
'''On the signed Euler characteristic property for subvarieties of Abelian varieties'''<br />
<br />
Franecki and Kapranov proved that the Euler characteristic of a perverse sheaf on a semi-abelian variety is non-negative. This result has several purely topological consequences regarding the sign of the (topological and intersection homology) Euler characteristic of a subvariety of an abelian variety, and it is natural to attempt to justify them by more elementary methods. In this talk, we'll explore the geometric tools used recently in the proof of the signed Euler<br />
characteristic property. Joint work with Christian Geske and Laurentiu Maxim.<br />
<br />
===Harrison Chen===<br />
<br />
'''Equivariant localization for periodic cyclic homology and derived loop spaces'''<br />
<br />
There is a close relationship between derived loop spaces, a geometric object, and (periodic) cyclic homology, a categorical invariant. In this talk we will discuss this relationship and how it leads to an equivariant localization result, which has an intuitive interpretation using the language of derived loop spaces. We discuss ongoing generalizations and potential applications in computing the periodic cyclic homology of categories of equivariant (coherent) sheaves on algebraic varieties.<br />
<br />
===Phil Tosteson===<br />
<br />
'''Stability in the homology of Deligne-Mumford compactifications'''<br />
<br />
The space <math>\bar M_{g,n}</math> is a compactification of the moduli space algebraic curves with marked points, obtained by allowing smooth curves to degenerate to nodal ones. We will talk about how the asymptotic behavior of its homology, <math>H_i(\bar M_{g,n})</math>, for <math>n \gg 0</math> can be studied using the representation theory of the category of finite sets and surjections.<br />
<br />
===Wei Ho===<br />
<br />
'''Noncommutative Galois closures and moduli problems'''<br />
<br />
In this talk, we will discuss the notion of a Galois closure for a possibly noncommutative algebra. We will explain how this problem is related to certain moduli problems involving genus one curves and torsors for Jacobians of higher genus curves. This is joint work with Matt Satriano.<br />
<br />
===Daniel Corey===<br />
<br />
'''Initial degenerations of Grassmannians'''<br />
<br />
Let Gr_0(d,n) denote the open subvariety of the Grassmannian Gr(d,n) consisting of d-1 dimensional subspaces of P^{n-1} meeting the toric boundary transversely. We prove that Gr_0(3,7) is schoen in the sense that all of its initial degenerations are smooth. The main technique we will use is to express the initial degenerations of Gr_0(3,7) as a inverse limit of thin Schubert cells. We use this to show that the Chow quotient of Gr(3,7) by the maximal torus H in GL(7) is the log canonical compactification of the moduli space of 7 lines in P^2 in linear general position.<br />
<br />
===Alena Pirutka===<br />
<br />
'''Irrationality problems'''<br />
<br />
Let X be a projective algebraic variety, the set of solutions of a system of homogeneous polynomial equations. Several classical notions describe how ``unconstrained'' the solutions are, i.e., how close X is to projective space: there are notions of rational, unirational and stably rational varieties. Over the field of complex numbers, these notions coincide in dimensions one and two, but diverge in higher<br />
dimensions. In the last years, many new classes of non stably rational varieties were found, using a specialization technique, introduced by C. Voisin. This method also allowed to prove that the rationality is not a deformation invariant in smooth and projective families of complex varieties: this is a joint work with B. Hassett and Y. Tschinkel. In my talk I will describe classical examples, as well as the recent progress around these rationality questions.<br />
<br />
===Nero Budur===<br />
<br />
'''Homotopy of singular algebraic varieties'''<br />
<br />
By work of Simpson, Kollár, Kapovich, every finitely generated group can be the fundamental group of an irreducible complex algebraic variety with only normal crossings and Whitney umbrellas as singularities. In contrast, we show that if a complex algebraic variety has no weight zero 1-cohomology classes, then the fundamental group is strongly restricted: the irreducible components of the cohomology jump loci of rank one local systems containing the constant sheaf are complex affine tori. Same for links and Milnor fibers. This is joint work with Marcel Rubió.<br />
<br />
<br />
===Alexander Yom Din===<br />
<br />
'''Drinfeld-Gaitsgory functor and contragradient duality for (g,K)-modules'''<br />
<br />
Drinfeld suggested the definition of a certain endo-functor, called the pseudo-identity functor (or the Drinfeld-Gaitsgory functor), on the category of D-modules on an algebraic stack. We extend this definition to an arbitrary DG category, and show that if certain finiteness conditions are satisfied, this functor is the inverse of the Serre functor. We show that the pseudo-identity functor for (g,K)-modules is isomorphic to the composition of cohomological and contragredient dualities, which is parallel to an analogous assertion for p-adic groups.<br />
<br />
In this talk I will try to discuss some of these results and around them. This is joint work with Dennis Gaitsgory.<br />
<br />
===John Lesieutre===<br />
'''Some higher-dimensional cases of the Kawaguchi-Silverman conjecture'''<br />
<br />
Given a dominant rational self-map f : X -->X of a variety defined over a number field, the first dynamical degree $\lambda_1(f)$ and the arithmetic degree $\alpha_f(P)$ are two measures of the complexity of the dynamics of f: the first measures the rate of growth of the degrees of the iterates f^n, while the second measures the rate of growth of the heights of the iterates f^n(P) for a point P. A conjecture of Kawaguchi and Silverman predicts that if P has Zariski-dense orbit, then these two quantities coincide. I will prove this conjecture in several higher-dimensional settings, including for all automorphisms of hyper-K\"ahler varieties. This is joint work with Matthew Satriano.</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=SIAM_Student_Chapter_Seminar&diff=15989SIAM Student Chapter Seminar2018-09-14T18:09:57Z<p>Nagreen: /* Applied and Computational Mathematics Seminar */</p>
<hr />
<div>__NOTOC__<br />
<br />
<br />
<br />
*'''When:''' Every Other Wednesday at 2:00 pm (except as otherwise indicated)<br />
*'''Where:''' 901 Van Vleck Hall<br />
*'''Organizers:''' [http://www.math.wisc.edu/~ke/ Ke Chen] <br />
*'''To join the SIAM Chapter mailing list:''' email [join-siam-chapter@lists.wisc.edu] website.<br />
<br />
<br><br />
<br />
== Fall 2018 ==<br />
09/12: Ke Chen, Inverse Problem in Optical Tomography</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Graduate_Algebraic_Geometry_Seminar&diff=15988Graduate Algebraic Geometry Seminar2018-09-14T17:43:49Z<p>Nagreen: </p>
<hr />
<div>'''<br />
'''When:''' Wednesdays 4:10pm<br />
<br />
'''Where:''' Van Vleck B215 (Fall 2018)<br />
[[Image:cat.jpg|thumb|220px| | Lizzie the OFFICIAL mascot of GAGS!!]]<br />
<br />
'''Who:''' All undergraduate and graduate students interested in algebraic geometry, commutative algebra, and related fields are welcome to attend.<br />
<br />
'''Why:''' The purpose of this seminar is to learn algebraic geometry and commutative algebra by giving and listening to talks in a informal setting. Talks are typically accessible to beginning graduate students and take many different forms. Sometimes people present an interesting paper they find. Other times people give a prep talk for the Friday Algebraic Geometry Seminar. Other times people give a series of talks on a topic they have been studying in-depth. Regardless the goal of GAGS is to provide a supportive and inclusive place for all to learn more about algebraic geometry and commutative algebra.<br />
<br />
'''How:''' If you want to get emails regarding time, place, and talk topics ('''which are often assigned quite last minute''') add yourself to the gags mailing list: gags@lists.wisc.edu. The list registration page is [https://admin.lists.wisc.edu/index.php?p=11&l=gags here].<br />
'''<br />
<br />
== Organize the seminar! ==<br />
<br />
'''This could be you writing this wiki page! Soon (Spring 2019) we will need volunteers to organize the seminar!! Why not start now?'''<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:moises@math.wisc.edu Moisés], or just add yourself to the list (though in that case we might move your talk later without your permission). Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
<br />
<br />
== Being an audience member ==<br />
The goal of GAGS is to create a safe and comfortable space inclusive of all who wish to expand their knowledge of algebraic geometry and commutative algebra. In order to promote such an environment in addition to the standard expectations of respect/kindness all participants are asked to following the following guidelines:<br />
* Do Not Speak For/Over the Speaker: <br />
* Ask Questions Appropriately: <br />
<br />
==The List of Topics that we Made February 2018==<br />
<br />
On February 21st of the Month of February of The 2018th Year of the Seventh Age of The Sun, the People Present at GAGS Compiled Ye Followinge Liste of Topics They Wished to Hear Aboute:<br />
<br />
Feel free to edit the list and/or add references to learn this stuff from. Since then, we've succeeded in talking about some of these, which doesn't mean there shouldn't be another talk. Ask around or look at old semester's websites.<br />
<br />
* Schubert Calculus, aka how many lines intersect four given lines in three-dimensional space? The answer to this question is prettiest when you think about it as a problem of intersecting subvarieties in the Grassmanian. ''What is the Grassmanian, you say?'' That's probably a talk we should have every year, so you should give it!<br />
<br />
* Kindergarten GAGA. GAGA stands for Algebraic Geometry - Analytic Geometry. Serre wrote a famous paper explaining how the two are related, and you could give an exposition suitable to kindergardeners.<br />
<br />
* Katz and Mazur explanation of what a modular form is. What is it?<br />
<br />
* Kindergarten moduli of curves.<br />
<br />
* What is a dualizing sheaf? What is a dualizing complex? What is Serre duality? What is local duality? Can local duality help us understand Serre duality?<br />
<br />
* Generalizations of Riemann - Roch. (Grothendieck - Riemann - Roch? Hirzebruch - Riemann - Roch?)<br />
<br />
* Hodge theory for babies<br />
<br />
* What is a Néron model?<br />
<br />
* What is a crystal? What does it have to do with D-modules? [http://www.math.harvard.edu/~gaitsgde/grad_2009/SeminarNotes/Nov17-19(Crystals).pdf Here's an encouragingly short set of notes on it].<br />
<br />
* What and why is a dessin d'enfants?<br />
<br />
* DG Schemes.<br />
<br />
<br />
==Ed Dewey's Wish List Of Olde==<br />
<br />
Back in the day Ed and Nathan made this list of topics they wanted to hear. They all sound super duper cool, but it's also true that they had many years of AG behind their backs, so this list might not be very representative of what the GAGS audience wants to hear bout.<br />
<br />
Here are the topics we're '''DYING''' to learn about! Please consider looking into one of these topics and giving one or two GAGS talks.<br />
<br />
===Specifically Vague Topics===<br />
* D-modules 101: basics of D-modules, equivalence between left and right D-modules, pullbacks, pushforwards, maybe the Gauss-Manin Connection. Claude Sabbah's introduction to the subject could be a good place to start.<br />
<br />
* Sheaf operations on D-modules (the point is that then you can get a Fourier-Mukai transform between certain O-modules and certain D-modules, which is more or less how geometric Langlands is supposed to work)<br />
<br />
===Famous Theorems===<br />
<br />
===Interesting Papers & Books===<br />
* ''Symplectic structure of the moduli space of sheaves on an abelian or K3 surface'' - Shigeru Mukai.<br />
<br />
* ''Residues and Duality'' - Robin Hatshorne.<br />
** Have you heard of Serre Duality? Would you like to really understand the nuts and bolts of it and its generalizations? If so this book is for you. (You wouldn't need to read the whole book to give a talk ;).)<br />
<br />
* ''Coherent sheaves on P^n and problems in linear algebra'' - A. A. Beilinson.<br />
** In this two page paper constructs the semi-orthogonal decomposition of the derived category of coherent sheaves on projective space. (This topic is very important, and there are a ton of other resources for this result and the general theory of derived categories.)<br />
<br />
* ''Frobenius splitting and cohomology vanishing for Schubert varieties'' - V.B. Mehta and A. Ramanathan.<br />
** In characteristic p the fact that (x+y)^p=x^p+y^p means that one has the Frobenius morphism, which sends f to f^p. In this paper the authors introduce the notion of what it means for a variety to be Frobenius split, and use this to prove certain cohomologcal vanishing results for Schubert varieties. Since then Frobenius splitting -- and its related cousins (F-regularity, strong F-regularity, F-purity, etc.) have played large roles in geometry and algebra in characteristic p. This is a good place to get a sense for what kicked all this stuff off! <br />
<br />
* ''Schubert Calculus'' - S. L. Kleiman and Dan Laksov.<br />
** An introduction to Schubert calculus suitable for those of all ages. I am told the paper essentially only uses linear algebra!<br />
<br />
* ''Rational Isogenies of Prime Degree'' - Barry Mazur.<br />
** In this paper Mazur classifies all isogenies of rational elliptic curves of prime order. As a result of this he deduces his famous result that the torsion subgroup of an elliptic curve (over Q) is one of 15 abelian groups. This definitely stares into the land of number theory, but certainly would still be of interest to many.<br />
<br />
* ''Esquisse d’une programme'' - Alexander Grothendieck.<br />
** Originating from a grant proposal in the mid 1980's this famous paper outlines a tantalizing research program, which seeks to tie numerous different areas of math (algebraic geometry, Teichmuller theory, Galois theory, etc.) together. This is where Grothendieck introduced his famous Lego game and dessin d'enfant. While just a research proposal this paper has seemingly inspired a ton of cool math, and will allow you to "blow peoples’ minds". (The original paper is in French, but there are English translations out there.)<br />
<br />
* ''Géométrie algébraique et géométrie analytique'' - J.P. Serre.<br />
** A projective variety X over the complex numbers has two lives, an algebraic and an analytic, depending on which topology one wishes to work with. That is one can think about X as a complex manifold and work with holomorphic functions or as an algebraic variety and work with regular functions. Hence to any complex projective variety we have two sheaf theories and as a result two cohomology theories. In this famous paper Serre compares these two and shows they are in fact the same. (''Note: This is a super fundamental result that is used all the time; normally in the following way: Uhh... What do you mean by cohomology? Well by GAGA or something it doesn't really mater.) (The original paper is in French, but there are English translations out there.)<br />
<br />
* ''Limit linear series: Basic theory''- David Eisenbud and Joe Harris.<br />
** One of the more profitable tools -- especially when studying moduli spaces -- in a geometers tool box is the theory of degenerations. However, sometimes we care about more than just the variety we are degenerating and want to keep track of things like vector/line bundles. In this paper Eisenbud and Harris develop the theory of degenerating a curve together with a linear series. From this they prove a ton of cool results: M_g is of general type for g>24, Brill-Noether theory, etc.<br />
<br />
* ''Picard Groups of Moduli Problems'' - David Mumford.<br />
** This paper is essentially the origin of algebraic stacks.<br />
<br />
* ''The Structure of Algebraic Threefolds: An Introduction to Mori's Program'' - Janos Kollar<br />
** This paper is an introduction to Mori's famous ``minimal model'' program, which is a far reaching program seeking to understand the birational geometry of higher dimensional varieties. <br />
<br />
* ''Cayley-Bacharach Formulas'' - Qingchun Ren, Jürgen Richter-Gebert, Bernd Sturmfels.<br />
** A classical result we all learn in a first semester of algebraic geometry is that 5 points in the plane (in general position) determine a unique plane conic. One can similarly show that 9 (general) points in the plane determine a unique plane cubic curve. This paper tries to answer the question: ``What is equation for this cubic curve?''.<br />
<br />
* ''On Varieties of Minimal Degree (A Centennial Approach)'' - David Eisenbud and Joe Harris.<br />
** Suppose X is a projective variety embedded in projective space so that X is not contained in any hyperplane. By projecting from general points one can see that the degree of X is at least codim(X)+1. This paper discusses the classification of varieties that achieve this lower degree bound i.e. varieties of minimal degree. This topic is quite classical and the paper seems to contain a nice mixture of classical and modern geometry.<br />
<br />
* ''The Gromov-Witten potential associated to a TCFT'' - Kevin J. Costello.<br />
** This seems incredibly interesting, but fairing warning this paper has been described as ''highly technical'', which considering it uses A-infinity algebras and the derived category of a Calabi-Yau seems like a reasonable description. (This paper may be covered in Caldararu's Spring 2017 topics course.)<br />
__NOTOC__<br />
<br />
== Spring 2017 ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#A6B658" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| September 12<br />
| bgcolor="#C6D46E"| Moisés Herradón Cueto<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 12| Hodge Theory: One hour closer to understanding what it's about]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 19<br />
| bgcolor="#C6D46E"| Caitlyn Booms<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 12| Linear Resolutions of Edge Ideals]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 26<br />
| bgcolor="#C6D46E"| Qiao He<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 26| TBD]]<br />
|-<br />
| bgcolor="#E0E0E0"| October 3<br />
| bgcolor="#C6D46E"| Wanlin Li<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 3| TBD]]<br />
|-<br />
| bgcolor="#E0E0E0"| October 10<br />
| bgcolor="#C6D46E"| Ewan Dalby<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 10| TBD]]<br />
|-<br />
| bgcolor="#E0E0E0"| October 17<br />
| bgcolor="#C6D46E"| Johnnie Han<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 17| TBD]]<br />
|-<br />
| bgcolor="#E0E0E0"| October 24<br />
| bgcolor="#C6D46E"| Solly Parenti<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 24| TBD]]<br />
|-<br />
| bgcolor="#E0E0E0"| October 31<br />
| bgcolor="#C6D46E"| Brandon Boggess<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 31| TBD]]<br />
|-<br />
| bgcolor="#E0E0E0"| November 7<br />
| bgcolor="#C6D46E"| Vladimir Sotirov/David Wagner<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 7| TBD]]<br />
|-<br />
| bgcolor="#E0E0E0"| November 14<br />
| bgcolor="#C6D46E"| David Wagner/Vladimir Sotirov<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 14| TBD]]<br />
|-<br />
| bgcolor="#E0E0E0"| November 21<br />
| bgcolor="#C6D46E"| A turkey/Smallpox<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 21| TBD]]<br />
|-<br />
| bgcolor="#E0E0E0"| November 28<br />
| bgcolor="#C6D46E"| Asvin Gothandaraman<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 30| TBD]]<br />
|-<br />
| bgcolor="#E0E0E0"| December 5<br />
| bgcolor="#C6D46E"| Soumya Sankar<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 5| TBD]]<br />
|-<br />
| bgcolor="#E0E0E0"| December 12<br />
| bgcolor="#C6D46E"| Sun Woo Park<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 12| TBD]]<br />
|}<br />
</center><br />
<br />
== September 12 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Moisés Herradón Cueto'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Hodge Theory: One hour closer to understanding what it's about<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
Following the request for baby Hodge theory from our meeting last semester, I will speak for one hour about Hodge theory, starting from the beginning of times, as they say. There will be d's, dbar's, Kählers and Hodge structures, but that's the extent of my promises. It will be a joyful time!<br />
|} <br />
</center><br />
<br />
== September 19 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
|} <br />
</center><br />
<br />
== September 26 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
|} <br />
</center><br />
<br />
== October 3 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
|} <br />
</center><br />
<br />
== October 10 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
|} <br />
</center><br />
<br />
== October 17 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
|} <br />
</center><br />
<br />
== October 24 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
|} <br />
</center><br />
<br />
== October 31 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
|} <br />
</center><br />
<br />
== November 7 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
|} <br />
</center><br />
<br />
== November 14 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
|} <br />
</center><br />
<br />
== November 21 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
|} <br />
</center><br />
<br />
== November 28 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
|} <br />
</center><br />
<br />
== November 7 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
|} <br />
</center><br />
<br />
== December 5 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
|} <br />
</center><br />
<br />
== December 12 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
|} <br />
</center><br />
<br />
== Organizers' Contact Info ==<br />
<br />
[https://www.math.wisc.edu/~moises Moisés Herradón Cueto]<br />
<br />
== Past Semesters ==<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_Spring_2018 Spring 2018]<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_Fall_2017 Fall 2017]<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_Spring_2017 Spring 2017]<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_Fall_2016 Fall 2016]<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_Spring_2016 Spring 2016]<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_(Fall_2015) Fall 2015]</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Accessing_your_Math_department_network_space&diff=15982Accessing your Math department network space2018-09-13T20:29:35Z<p>Nagreen: </p>
<hr />
<div>Members of the University of Wisconsin-Madison Department of Mathematics are allocated a certain amount of space on a shared network file system. This space can be accessed by simply logging into any departmental machine. Your network space appears as your home directory when you log into a linux computer or as the X: drive when you log into a Windows machine. Users sometimes need to access this space from their own laptop or home computers. This document explains some of the methods by which that can be done.<br />
<br />
=== Linux ===<br />
The easiest way to access your network disk space from a linux computer is to use sftp. To use sftp to access your network space, simply type 'sftp username@login.math.wisc.edu' in a terminal window.<br />
<br />
Another way to access your network space is via sshfs. Sshfs packages are avaiable in all of the major flavors of linux. In debian or ubuntu linux, you can install sshfs by simply opening a terminal window and typing, "sudo apt-get install sshfs". <br />
<br />
Once sshfs is installed, you may wish to add your user name to the fuse group. This will allow you to mount sshfs file systems as a regular user. For example, if you usually log into your linux computer as user johndoe, you would add yourself to the fuse group by opening a terminal window and typeing, "sudo adduser johndoe fuse". <br />
<br />
To mount an sshfs file system, open a terminal window and type something like:<code><nowiki><br />
<br />
mkdir ~/mathfs<br />
sshfs username@login.math.wisc.edu:/path_to_your_home_directory/ ~/mathfs<br />
<br />
</nowiki></code><br />
This will mount your Math department network space on the /mathfs directory in your home directory. Replace 'username' in the above example with your Math department user name. Also, replace 'path_to_your_home_directory' with the path to your home directory. For faculty, this is /fac/username. For graduate students, this is /grad/username. For staff, this is /staff/username. For visitors, it is /visitor/username. <br />
<br />
Hint: You can make it possible to connect to your Math Department network file space by typing just a few characters. To do this:<br />
# Create an alias for the sshfs command you use to mount your network space. Edit your shell startup script, either .cshrc for csh and tsh users or .bash_profile for bash users. If you use csh, you would add a line similar to the following: <code><nowiki>alias mathfs 'sshfs jsmith@login.math.wisc.edu:/grad/jsmith mathfs"</code></nowiki>. For bash users, add a line similar to the following: alias mathfs='sshfs jsmith@login.math.wisc.edu:/grad/jsmith mathfs'. Use your own Math department login name and home directory, of course.<br />
# Generate a ssh key to connect without a password. To do this, use the ssh-keygen program. For instructions on using ssh-keygen, type 'man ssh-keygen' in a terminal window. <br />
<br />
At this point, just typing 'mathfs' in a terminal window will mount your Math Department file space on the mathfs directory.<br />
<br />
=== Windows ===<br />
Please refer to the following link for instructions on remotely accessing your files on a Windows machine:<br />
<br />
https://sites.google.com/a/wisc.edu/math-intranet/home/computing/remote-connectivity/map-windows-drive<br />
<br />
=== Macintosh ===<br />
Please refer to the following link for instructions on remotely accessing your files on a Macintosh machine:<br />
<br />
https://sites.google.com/a/wisc.edu/math-intranet/home/computing/remote-connectivity/map-mac-drive</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=Accessing_your_Math_department_network_space&diff=15981Accessing your Math department network space2018-09-13T20:28:40Z<p>Nagreen: </p>
<hr />
<div>Members of the University of Wisconsin-Madison Department of Mathematics are allocated a certain amount of space on a shared network file system. This space can be accessed by simply logging into any departmental machine. Your network space appears as your home directory when you log into a linux computer or as the X: drive when you log into a Windows machine. Users sometimes need to access this space from their own laptop or home computers. This document explains some of the methods by which that can be done.<br />
<br />
=== Linux ===<br />
The easiest way to access your network disk space from a linux computer is to use sftp. To use sftp to access your network space, simply type 'sftp username@login.math.wisc.edu' in a terminal window.<br />
<br />
Another way to access your network space is via sshfs. Sshfs packages are avaiable in all of the major flavors of linux. In debian or ubuntu linux, you can install sshfs by simply opening a terminal window and typing, "sudo apt-get install sshfs". <br />
<br />
Once sshfs is installed, you may wish to add your user name to the fuse group. This will allow you to mount sshfs file systems as a regular user. For example, if you usually log into your linux computer as user johndoe, you would add yourself to the fuse group by opening a terminal window and typeing, "sudo adduser johndoe fuse". <br />
<br />
To mount an sshfs file system, open a terminal window and type something like:<code><nowiki><br />
<br />
mkdir ~/mathfs<br />
sshfs username@login.math.wisc.edu:/path_to_your_home_directory/ ~/mathfs<br />
<br />
</nowiki></code><br />
This will mount your Math department network space on the /mathfs directory in your home directory. Replace 'username' in the above example with your Math department user name. Also, replace 'path_to_your_home_directory' with the path to your home directory. For faculty, this is /fac/username. For graduate students, this is /grad/username. For staff, this is /staff/username. For visitors, it is /visitor/username. <br />
<br />
Hint: You can make it possible to connect to your Math Department network file space by typing just a few characters. To do this:<br />
# Create an alias for the sshfs command you use to mount your network space. Edit your shell startup script, either .cshrc for csh and tsh users or .bash_profile for bash users. If you use csh, you would add a line similar to the following: <code><nowiki>alias mathfs 'sshfs jsmith@login.math.wisc.edu:/grad/jsmith mathfs"</code></nowiki>. For bash users, add a line similar to the following: alias mathfs='sshfs jsmith@login.math.wisc.edu:/grad/jsmith mathfs'. Use your own Math department login name and home directory, of course.<br />
# Generate a ssh key to connect without a password. To do this, use the ssh-keygen program. For instructions on using ssh-keygen, type 'man ssh-keygen' in a terminal window. <br />
<br />
At this point, just typing 'mathfs' in a terminal window will mount your Math Department file space on the mathfs directory.<br />
<br />
=== Windows ===<br />
Please refer to the following link for instructions on remotely accessing your files on a Windows machine:<br />
<br />
http://atrium.math.wisc.edu/computing/node/1688<br />
<br />
=== Macintosh ===<br />
Please refer to the following link for instructions on remotely accessing your files on a Macintosh machine:<br />
https://sites.google.com/a/wisc.edu/math-intranet/home/computing/remote-connectivity/map-mac-drive</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=NTSGrad&diff=15943NTSGrad2018-09-10T13:32:47Z<p>Nagreen: /* Organizers */</p>
<hr />
<div>= Graduate Student Number Theory / Representation Theory Seminar, University of Wisconsin – Madison =<br />
<br />
*'''When:''' Tuesdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
<br />
The purpose of this seminar is to have a talk on each Tuesday by a graduate student to<br />
help orient ourselves for the [[NTS|Number Theory Seminar]] talk on the following Thursday.<br />
These talks should be aimed at beginning graduate students, and should try to <br />
explain some of the background, terminology, and ideas for the Thursday talk.<br />
<br />
== Organizers ==<br />
Soumya Sankar (ssankar3@wisc.edu)<br />
<br />
----<br />
<br />
The seminar webpage for Fall 2018 is [[NTSGrad_Fall_2018|here]].<br><br />
The seminar webpage for Spring 2017 is [[NTSGrad_Spring_2017|here]].<br><br />
The seminar webpage for Fall 2016 is [[NTSGrad_Fall_2016|here]]<br><br />
The seminar webpage for Spring 2016 is [[NTSGrad_Spring_2016|here]]<br><br />
The seminar webpage for Fall 2015, is [[NTSGrad_Fall_2015|here]].<br><br />
The seminar webpage for Spring 2018 is [[NTSGrad_Spring_2018|here]].<br><br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=NTSGrad&diff=15942NTSGrad2018-09-10T13:32:28Z<p>Nagreen: </p>
<hr />
<div>= Graduate Student Number Theory / Representation Theory Seminar, University of Wisconsin – Madison =<br />
<br />
*'''When:''' Tuesdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B113<br />
<br />
The purpose of this seminar is to have a talk on each Tuesday by a graduate student to<br />
help orient ourselves for the [[NTS|Number Theory Seminar]] talk on the following Thursday.<br />
These talks should be aimed at beginning graduate students, and should try to <br />
explain some of the background, terminology, and ideas for the Thursday talk.<br />
<br />
== Organizers ==<br />
Soumya Sankar (ssankar3@wisc.edu)<br />
<br />
----<br />
<br />
The seminar webpage for Fall 2018 is [[NTSGrad_Fall_2018|here]]<br>.<br />
The seminar webpage for Spring 2017 is [[NTSGrad_Spring_2017|here]].<br><br />
The seminar webpage for Fall 2016 is [[NTSGrad_Fall_2016|here]]<br><br />
The seminar webpage for Spring 2016 is [[NTSGrad_Spring_2016|here]]<br><br />
The seminar webpage for Fall 2015, is [[NTSGrad_Fall_2015|here]].<br><br />
The seminar webpage for Spring 2018 is [[NTSGrad_Spring_2018|here]].<br><br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Nagreenhttps://www.math.wisc.edu/wiki/index.php?title=NTSGrad&diff=15941NTSGrad2018-09-10T13:31:52Z<p>Nagreen: </p>
<hr />
<div>= Graduate Student Number Theory / Representation Theory Seminar, University of Wisconsin – Madison =<br />
<br />
*'''When:''' Tuesdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B119<br />
<br />
The purpose of this seminar is to have a talk on each Tuesday by a graduate student to<br />
help orient ourselves for the [[NTS|Number Theory Seminar]] talk on the following Thursday.<br />
These talks should be aimed at beginning graduate students, and should try to <br />
explain some of the background, terminology, and ideas for the Thursday talk.<br />
<br />
== Organizers ==<br />
<br />
Brandon Alberts (blalberts@math.wisc.edu)<br />
<br />
Megan Maguire (mmaguire2@math.wisc.edu)<br />
<br />
<br />
----<br />
<br />
The seminar webpage for Fall 2018 is [[NTSGrad_Fall_2018|here]]<br>.<br />
The seminar webpage for Spring 2017 is [[NTSGrad_Spring_2017|here]].<br><br />
The seminar webpage for Fall 2016 is [[NTSGrad_Fall_2016|here]]<br><br />
The seminar webpage for Spring 2016 is [[NTSGrad_Spring_2016|here]]<br><br />
The seminar webpage for Fall 2015, is [[NTSGrad_Fall_2015|here]].<br><br />
The seminar webpage for Spring 2018 is [[NTSGrad_Spring_2018|here]].<br><br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Nagreen