Fall 2021 and Spring 2022 Analysis Seminars: Difference between revisions
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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.
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