Fall 2021 and Spring 2022 Analysis Seminars: Difference between revisions
No edit summary |
No edit summary |
||
| Line 31: | Line 31: | ||
| Joris Roos | | Joris Roos | ||
| UW Madison | | UW Madison | ||
|[[# | |[[#Joris Roos | L^p improving estimates for maximal spherical averages ]] | ||
| Brian | | Brian | ||
|- | |- | ||
| Line 226: | Line 226: | ||
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. | 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=== | ===Xiaojun Huang=== | ||
Revision as of 18:48, 16 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
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) | 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.
Name
Title
Abstract
Name
Title
Abstract
Name
Title
Abstract