Analysis Seminar

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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.

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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