Difference between revisions of "Analysis Seminar"
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− | '''Analysis Seminar | + | '''Fall 2019 and Spring 2020 Analysis Seminar Series |
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!align="left" | host(s) | !align="left" | host(s) | ||
|- | |- | ||
− | |Sept | + | |Sept 10 |
− | | | + | | José Madrid |
+ | | UCLA | ||
+ | |[[#José Madrid | On the regularity of maximal operators on Sobolev Spaces ]] | ||
+ | | Andreas, David | ||
+ | |- | ||
+ | |Sept 13 (Friday, B139) | ||
+ | | Yakun Xi | ||
+ | | University of Rochester | ||
+ | |[[#Yakun Xi | Distance sets on Riemannian surfaces and microlocal decoupling inequalities ]] | ||
+ | | Shaoming | ||
+ | |- | ||
+ | |Sept 17 | ||
+ | | Joris Roos | ||
| UW Madison | | UW Madison | ||
− | |[[# | + | |[[#Joris Roos | L^p improving estimates for maximal spherical averages ]] |
− | | | + | | Brian |
|- | |- | ||
− | | | + | |Sept 20 (2:25 PM Friday, Room B139 VV) |
− | | | + | | Xiaojun Huang |
− | | | + | | Rutgers University–New Brunswick |
− | | | + | |[[#linktoabstract | A generalized Kerner theorem and hyperbolic metrics on Stein spaces with compact spherical boundaries ]] |
− | | | + | | Xianghong |
|- | |- | ||
− | | | + | |Sept 24 |
− | | | + | | Person |
− | | | + | | Institution |
− | | | + | |[[#linktoabstract | Title ]] |
− | | | + | | Sponsor |
|- | |- | ||
− | | | + | |Oct 1 |
− | | | + | | Xiaocheng Li |
− | | | + | | UW Madison |
− | | | + | |[[#linktoabstract | Title ]] |
− | | | + | | Simon |
|- | |- | ||
− | | | + | |Oct 8 |
− | | | + | | Jeff Galkowski |
− | | | + | | Northeastern University |
− | | | + | |[[#linktoabstract | Title ]] |
− | | | + | | Betsy |
|- | |- | ||
− | |Oct | + | |Oct 15 |
− | | | + | | David Beltran |
− | | | + | | UW Madison |
− | |[[# | + | |[[#linktoabstract | Title ]] |
− | | | + | | Brian |
|- | |- | ||
− | |Oct | + | |Oct 22 |
− | | | + | | Laurent Stolovitch |
− | | | + | | University of Nice Sophia-Antipolis |
− | |[[# | + | |[[#linktoabstract | Title ]] |
− | | | + | | Xianghong |
|- | |- | ||
− | |Oct 23 | + | |<b>Wednesday Oct 23 in B129</b> |
− | | | + | |Dominique Kemp |
− | | | + | |Indiana University |
− | | | + | |tbd | tbd |
− | | | + | |Betsy |
|- | |- | ||
− | |Oct | + | |Oct 29 |
− | | | + | | Bingyang Hu |
− | |||
− | |||
− | |||
− | |||
− | |||
− | |||
| UW Madison | | UW Madison | ||
− | |[[# | + | |[[#linktoabstract | Title ]] |
− | | | + | | Street |
|- | |- | ||
− | | | + | |Nov 5 |
− | | | + | | Kevin O'Neill |
− | | | + | | UC Davis |
− | |[[# | + | |[[#linktoabstract | Title ]] |
− | | | + | | Betsy |
|- | |- | ||
− | |Nov | + | |Nov 12 |
− | | | + | | Francesco di Plinio |
− | | | + | | Washington University in St. Louis |
− | |[[# | + | |[[#linktoabstract | Title ]] |
− | | | + | | Shaoming |
|- | |- | ||
− | |Nov | + | |Nov 19 |
− | | | + | | Person |
− | | | + | | Institution |
− | |[[#linktoabstract | | + | |[[#linktoabstract | Title ]] |
− | | | + | | Sponsor |
|- | |- | ||
− | |Nov | + | |Nov 26 |
| No Seminar | | No Seminar | ||
| | | | ||
− | | | + | | |
| | | | ||
|- | |- | ||
− | |Dec | + | |Dec 3 |
+ | | Person | ||
+ | | Institution | ||
+ | |[[#linktoabstract | Title ]] | ||
+ | | Sponsor | ||
+ | |- | ||
+ | |Dec 10 | ||
| No Seminar | | No Seminar | ||
− | |||
| | | | ||
+ | | | ||
+ | | | ||
|- | |- | ||
− | |Jan | + | |Jan 21 |
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| No Seminar | | No Seminar | ||
| | | | ||
− | | | + | | |
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|- | |- | ||
− | | | + | |Jan 28 |
− | | | + | | Person |
− | | | + | | Institution |
− | |[[# | + | |[[#linktoabstract | Title ]] |
− | | | + | | Sponsor |
|- | |- | ||
− | | | + | |Feb 4 |
− | | | + | | Person |
− | | | + | | Institution |
− | |[[#linktoabstract | | + | |[[#linktoabstract | Title ]] |
− | | | + | | Sponsor |
|- | |- | ||
− | |Feb | + | |Feb 11 |
− | | | + | | Person |
− | | | + | | Institution |
− | |[[# | + | |[[#linktoabstract | Title ]] |
− | | | + | | Sponsor |
|- | |- | ||
− | | | + | |Feb 18 |
− | | | + | | Person |
− | | | + | | Institution |
− | |[[# | + | |[[#linktoabstract | Title ]] |
− | | | + | | Sponsor |
|- | |- | ||
− | | | + | |Feb 25 |
− | | | + | | Person |
− | | | + | | Institution |
− | |[[# | + | |[[#linktoabstract | Title ]] |
− | | | + | | Sponsor |
|- | |- | ||
− | | | + | |Mar 3 |
− | | | + | | Person |
− | | | + | | Institution |
− | |[[# | + | |[[#linktoabstract | Title ]] |
− | | | + | | Sponsor |
|- | |- | ||
− | | | + | |Mar 10 |
− | | | + | | Person |
− | | | + | | Institution |
− | | | + | |[[#linktoabstract | Title ]] |
− | | | + | | Sponsor |
|- | |- | ||
− | | | + | |Mar 17 |
− | | | + | | Spring Break! |
| | | | ||
| | | | ||
+ | | | ||
|- | |- | ||
− | |Mar | + | |Mar 24 |
− | | | + | | Oscar Dominguez |
− | | | + | | Universidad Complutense de Madrid |
|[[#linktoabstract | Title ]] | |[[#linktoabstract | Title ]] | ||
− | | | + | | Andreas |
|- | |- | ||
− | |Mar | + | |Mar 31 |
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| Person | | Person | ||
| Institution | | Institution | ||
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| Sponsor | | Sponsor | ||
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− | |Apr | + | |Apr 7 |
− | | | + | | Reserved |
− | | | + | | Institution |
|[[#linktoabstract | Title ]] | |[[#linktoabstract | Title ]] | ||
− | | | + | | Street |
|- | |- | ||
− | + | |Apr 14 | |
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| Sponsor | | Sponsor | ||
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− | |Apr | + | |Apr 21 |
| Person | | Person | ||
| Institution | | Institution | ||
|[[#linktoabstract | Title ]] | |[[#linktoabstract | Title ]] | ||
| Sponsor | | Sponsor | ||
+ | |- | ||
+ | |Apr 28 | ||
+ | | No Seminar | ||
+ | | | ||
+ | | | ||
+ | | | ||
|- | |- | ||
|} | |} | ||
=Abstracts= | =Abstracts= | ||
− | === | + | ===José Madrid=== |
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− | + | Title: On the regularity of maximal operators on Sobolev Spaces | |
− | In this talk, | + | Abstract: In this talk, we will discuss the regularity properties (boundedness and |
− | + | continuity) of the classical and fractional maximal | |
− | + | operators when these act on the Sobolev space W^{1,p}(\R^n). We will | |
− | + | focus on the endpoint case p=1. We will talk about | |
+ | some recent results and current open problems. | ||
+ | ===Yakun Xi=== | ||
− | + | Title: Distance sets on Riemannian surfaces and microlocal decoupling inequalities | |
− | + | Abstract: In this talk, we discuss the generalization of the Falconer distance problem to the Riemannian setting. In particular, we extend the recent result of Guth-Iosevich-Ou-Wang for the distance set in the plane to general Riemannian surfaces. The key new ingredient is a family of refined decoupling inequalities associated with phase functions that satisfy Carleson-Sj\”olin condition. This is joint work with Iosevich and Liu. | |
− | + | ===Joris Roos=== | |
− | + | Title: L^p improving estimates for maximal spherical averages | |
− | + | Abstract: For a given compact set of radii $E$ we will discuss $L^p$ improving properties of maximal spherical averages with a supremum over $E$. | |
+ | Our results are sharp up to endpoints for a large class of $E$. A new feature is that the optimal exponents depend on both, the upper Minkowski dimension and the Assouad dimension of the set $E$. | ||
+ | Joint work with Tess Anderson, Kevin Hughes and Andreas Seeger. | ||
− | + | ===Xiaojun Huang=== | |
− | |||
− | + | Title: A generalized Kerner theorem and hyperbolic metrics on Stein spaces with compact spherical boundaries | |
− | + | Abstract: This is a joint work with Ming Xiao. We discuss how to construct a hyperbolic metric over a Stein space with spherical boundary. The technique we use is to employ holomorphic continuation along curves for multiple valued functions. | |
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− | + | ===Name=== | |
− | + | Title | |
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− | === | + | ===Name=== |
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=Extras= | =Extras= | ||
[[Blank Analysis Seminar Template]] | [[Blank Analysis Seminar Template]] |
Latest revision as of 10:37, 17 September 2019
Fall 2019 and Spring 2020 Analysis Seminar Series
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(at)math
Contents
Previous Analysis seminars
Analysis Seminar Schedule
date | speaker | institution | title | host(s) |
---|---|---|---|---|
Sept 10 | José Madrid | UCLA | On the regularity of maximal operators on Sobolev Spaces | Andreas, David |
Sept 13 (Friday, B139) | Yakun Xi | University of Rochester | Distance sets on Riemannian surfaces and microlocal decoupling inequalities | Shaoming |
Sept 17 | Joris Roos | UW Madison | L^p improving estimates for maximal spherical averages | Brian |
Sept 20 (2:25 PM Friday, Room B139 VV) | Xiaojun Huang | Rutgers University–New Brunswick | A generalized Kerner theorem and hyperbolic metrics on Stein spaces with compact spherical boundaries | Xianghong |
Sept 24 | Person | Institution | Title | Sponsor |
Oct 1 | Xiaocheng Li | UW Madison | Title | Simon |
Oct 8 | Jeff Galkowski | Northeastern University | Title | Betsy |
Oct 15 | David Beltran | UW Madison | Title | Brian |
Oct 22 | Laurent Stolovitch | University of Nice Sophia-Antipolis | Title | Xianghong |
Wednesday Oct 23 in B129 | Dominique Kemp | Indiana University | tbd | Betsy |
Oct 29 | Bingyang Hu | UW Madison | Title | Street |
Nov 5 | Kevin O'Neill | UC Davis | Title | Betsy |
Nov 12 | Francesco di Plinio | Washington University in St. Louis | Title | Shaoming |
Nov 19 | Person | Institution | Title | Sponsor |
Nov 26 | No Seminar | |||
Dec 3 | Person | Institution | Title | Sponsor |
Dec 10 | No Seminar | |||
Jan 21 | No Seminar | |||
Jan 28 | Person | Institution | Title | Sponsor |
Feb 4 | Person | Institution | Title | Sponsor |
Feb 11 | Person | Institution | Title | Sponsor |
Feb 18 | Person | Institution | Title | Sponsor |
Feb 25 | Person | Institution | Title | Sponsor |
Mar 3 | Person | Institution | Title | Sponsor |
Mar 10 | Person | Institution | Title | Sponsor |
Mar 17 | Spring Break! | |||
Mar 24 | Oscar Dominguez | Universidad Complutense de Madrid | Title | Andreas |
Mar 31 | Person | Institution | Title | Sponsor |
Apr 7 | Reserved | Institution | Title | Street |
Apr 14 | Person | Institution | Title | Sponsor |
Apr 21 | Person | Institution | Title | Sponsor |
Apr 28 | No Seminar |
Abstracts
José Madrid
Title: On the regularity of maximal operators on Sobolev Spaces
Abstract: In this talk, we will discuss the regularity properties (boundedness and continuity) of the classical and fractional maximal operators when these act on the Sobolev space W^{1,p}(\R^n). We will focus on the endpoint case p=1. We will talk about some recent results and current open problems.
Yakun Xi
Title: Distance sets on Riemannian surfaces and microlocal decoupling inequalities
Abstract: In this talk, we discuss the generalization of the Falconer distance problem to the Riemannian setting. In particular, we extend the recent result of Guth-Iosevich-Ou-Wang for the distance set in the plane to general Riemannian surfaces. The key new ingredient is a family of refined decoupling inequalities associated with phase functions that satisfy Carleson-Sj\”olin condition. This is joint work with Iosevich and Liu.
Joris Roos
Title: L^p improving estimates for maximal spherical averages
Abstract: For a given compact set of radii $E$ we will discuss $L^p$ improving properties of maximal spherical averages with a supremum over $E$. Our results are sharp up to endpoints for a large class of $E$. A new feature is that the optimal exponents depend on both, the upper Minkowski dimension and the Assouad dimension of the set $E$. Joint work with Tess Anderson, Kevin Hughes and Andreas Seeger.
Xiaojun Huang
Title: A generalized Kerner theorem and hyperbolic metrics on Stein spaces with compact spherical boundaries
Abstract: This is a joint work with Ming Xiao. We discuss how to construct a hyperbolic metric over a Stein space with spherical boundary. The technique we use is to employ holomorphic continuation along curves for multiple valued functions.
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