https://www.math.wisc.edu/wiki/api.php?action=feedcontributions&user=Nicodemus&feedformat=atomUW-Math Wiki - User contributions [en]2019-11-18T12:20:07ZUser contributionsMediaWiki 1.30.1https://www.math.wisc.edu/wiki/index.php?title=Summer_2019_Algebraic_Geometry_Reading_Group&diff=17415Summer 2019 Algebraic Geometry Reading Group2019-05-01T23:38:45Z<p>Nicodemus: </p>
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<div>This is the page for the Summer 2019 Algebraic Geometry Reading Group. <br />
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== Resources ==<br />
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We plan to primarily use the newest version of Ravi Vakil's The Rising Sea: Foundations of Algebraic Geometry, which can be found here: http://math.stanford.edu/~vakil/216blog/FOAGnov1817public.pdf.<br />
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At times we may also use Hartshorne's Algebraic Geometry.<br />
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== Schedule ==<br />
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10 Total Weeks: May 13-31, June 24-August 9<br />
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Roughly 3 meetings per week for 1-1.5 hours each.<br />
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Exact days will be determined based on the schedules of the participants.<br />
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'''Optimistic reading schedule (all chapters from Vakil):'''<br />
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'''Week of May 13:''' Ch. 3, Ch. 4 (Affine schemes, structure sheaf)<br />
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'''Week of May 20:''' Ch. 5, Start Ch. 6 (Properties of schemes, morphisms of schemes)<br />
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'''Week of May 27:''' Finish Ch. 6, Ch. 7 (Classes of morphisms of schemes)<br />
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'''Week of June 24:''' Ch. 8, Start Ch. 9 (Closed embeddings and Cartier divisors, fibered product of schemes)<br />
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'''Week of July 1:''' Finish Ch. 9, Ch. 10 (Separated and proper morphisms, varieties)<br />
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'''Week of July 8:''' Ch. 11, Start Ch. 12 (Dimension, regularity and smoothness)<br />
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'''Week of July 15:''' Finish Ch. 12, Ch. 13 (Quasicoherent and coherent sheaves)<br />
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'''Week of July 22:''' Ch. 14, Start Ch. 15 (Line bundles, projective schemes)<br />
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'''Week of July 29:''' Finish Ch. 15, Ch. 16 (Pushforwards and pullbacks of quasicoherent sheaves)<br />
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'''Week of August 5:''' Ch. 18, Ch. 19, Ch. 21 (Cech cohomology, curves, differentials)<br />
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== General Meeting Structure ==<br />
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This reading seminar will be structured as follows. Every meeting will have an assigned "leader," who will usually be one of the reading group participants, but could at times be an older grad student or professor. It will be expected that everyone attending will read the assigned chapters prior to the meeting. The "leader" is expected to additionally work out some examples prior and will be responsible for guiding the group discussion during the meeting. Meetings will primarily be spent discussing questions that everyone has about the reading and going through examples together. Depending on the interest of the group, we may also have problem solving sessions.<br />
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'''If you are interested in joining this reading group, please contact Caitlyn Booms at cbooms@wisc.edu by May 8, 2019 and join the mailing list by emailing join-ag (at) lists.wisc.edu'''<br />
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== Summer plans ==<br />
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If you feel like telling us your general plans for the summer, so that we'll know when you are around Madison, please do so here:<br />
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Caitlyn: out of town May 29-June 23 and Aug. 17-25<br />
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Colin: Out of town July 1-15 and one week sometime in June probably<br />
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Alex H: Probably mostly in town, but will be gone late July - early August.<br />
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Patrick: Leaving May 17th. Back sometime in June.</div>Nicodemushttps://www.math.wisc.edu/wiki/index.php?title=AMS_Student_Chapter_Seminar&diff=16960AMS Student Chapter Seminar2019-02-17T17:39:34Z<p>Nicodemus: </p>
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<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 />
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* '''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 />
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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 />
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The schedule of talks from past semesters can be found [[AMS Student Chapter Seminar, previous semesters|here]].<br />
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== Spring 2019 ==<br />
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=== February 6, Xiao Shen (in VV B139)===<br />
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Title: Limit Shape in last passage percolation<br />
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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 />
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=== February 13, Michel Alexis (in VV B139)===<br />
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Title: An instructive yet useless theorem about random Fourier Series<br />
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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 />
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=== February 20, Geoff Bentsen ===<br />
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Title: TBD<br />
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=== February 27, James Hanson ===<br />
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=== March 6, Working Group to establish an Association of Mathematics Graduate Students ===<br />
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Title: Math and Government<br />
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Abstract: TBD<br />
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=== March 13, TBD ===<br />
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=== March 26 (Prospective Student Visit Day), Multiple Speakers ===<br />
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====Eva Elduque====<br />
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====Rajula Srivastava====<br />
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====Soumya Sankar====<br />
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=== April 3, TBD ===<br />
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=== April 10, TBD ===<br />
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=== April 17, Hyun-Jong ===<br />
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=== April 24, TBD ===<br />
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Abstract: TBD</div>Nicodemushttps://www.math.wisc.edu/wiki/index.php?title=AMS_Student_Chapter_Seminar&diff=16225AMS Student Chapter Seminar2018-10-18T18:59:09Z<p>Nicodemus: /* December 5, TBD */</p>
<hr />
<div>The AMS Student Chapter Seminar is an informal, graduate student-run 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 />
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== Fall 2018 ==<br />
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=== September 26, Vladimir Sotirov ===<br />
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Title: Geometric Algebra<br />
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Abstract: Geometric algebra, developed at the end of the 19th century by Grassman, Clifford, and Lipschitz, is the forgotten progenitor of the linear algebra we use to this day developed by Gibbs and Heaviside.<br />
In this short introduction, I will use geometric algebra to do two things. First, I will construct the field of complex numbers and the division algebra of the quaternions in a coordinate-free way. Second, I will derive the geometric interpretation of complex numbers and quaternions as representations of rotations in 2- and 3-dimensional space. <br />
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=== October 3, Juliette Bruce ===<br />
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Title: Kissing Conics<br />
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Abstract: Have you every wondered how you can easily tell when two plane conics kiss (i.e. are tangent to each other at a point)? If so this talk is for you, if not, well there will be donuts.<br />
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=== October 10, Kurt Ehlert ===<br />
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Title: How to bet when gambling<br />
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Abstract: When gambling, typically casinos have the edge. But sometimes we can gain an edge by counting cards or other means. And sometimes we have an edge in the biggest casino of all: the financial markets. When we do have an advantage, then we still need to decide how much to bet. Bet too little, and we leave money on the table. Bet too much, and we risk financial ruin. We will discuss the "Kelly criterion", which is a betting strategy that is optimal in many senses.<br />
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=== October 17, Bryan Oakley ===<br />
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Title: Mixing rates<br />
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Abstract: Mixing is a necessary step in many areas from biology and atmospheric sciences to smoothies. Because we are impatient, the goal is usually to improve the rate at which a substance homogenizes. In this talk we define and quantify mixing and rates of mixing. We present some history of the field as well as current research and open questions.<br />
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=== October 24, Micky Soule Steinberg ===<br />
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Title: TBD<br />
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=== October 31, Sun Woo Park ===<br />
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=== November 7, TBD ===<br />
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=== November 14, Soumya Sankar ===<br />
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=== November 21, Cancelled due to Thanksgiving===<br />
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=== November 28, Niudun Wang ===<br />
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=== December 5, Patrick Nicodemus ===<br />
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Title: Applications of Algorithmic Randomness and Complexity<br />
Abstract: I will introduce the fascinating field of Kolmogorov Complexity and point out its applications in such varied areas as combinatorics, statistical inference and mathematical logic. In fact the Prime Number theorem, machine learning and Godel's Incompleteness theorem can all be investigated fruitfully through a wonderful common lens.<br />
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=== December 12, TBD ===<br />
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Title: TBD<br />
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Abstract: TBD</div>Nicodemus