Difference between revisions of "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.
+
The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger.
 +
It will be online at least for the Fall semester, with details to be announced in September.
  
If you wish to invite a speaker please contact Brian at street(at)math
+
If you'd like to suggest  speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).
  
===[[Previous Analysis seminars]]===
 
  
= Analysis Seminar Schedule =
+
 
 +
=[[Previous_Analysis_seminars]]=
 +
 
 +
https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars
 +
 
 +
= Current Analysis Seminar Schedule =
 
{| cellpadding="8"
 
{| cellpadding="8"
 
!align="left" | date   
 
!align="left" | date   
Line 16: Line 19:
 
!align="left" | host(s)
 
!align="left" | host(s)
 
|-
 
|-
|Sept 10
+
|September 22
| José Madrid
+
|Alexei Poltoratski
| UCLA
+
|UW Madison
|[[#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
 
|[[#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 ]]
 
|[[#linktoabstract  |  Title ]]
| Sponsor
+
|  
|-
 
|Oct 1
 
| Xiaocheng Li
 
| UW Madison
 
|[[#Xiaocheng Li  |  An Estimate for Spherical Functions on $\mathrm{SL}(3,\mathbb{R})$ ]]
 
| Simon
 
 
|-
 
|-
|Oct 8
+
|September 29
| Jeff Galkowski
+
|Polona Durcik
| Northeastern University
+
| Chapman University
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| Betsy
+
|  
 
|-
 
|-
|Oct 15
+
|September 30
| David Beltran
+
|Joris Roos
| UW Madison
+
|University of Massachusetts - Lowell
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| Brian
+
|  
 
|-
 
|-
|Oct 22
+
|October 6
| Laurent Stolovitch
+
|Andrew Zimmer
| University of Nice Sophia-Antipolis
+
|UW Madison
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| Xianghong
+
|  
 
|-
 
|-
|<b>Wednesday Oct 23 in B129</b>
+
|October 13
|Dominique Kemp
+
|Hong Wang
|Indiana University
+
|Princeton/IAS
|[[#Dominique Kemp | Decoupling for Real Analytic Surfaces Exhibiting Zero Curvature]]
 
|Betsy
 
|-
 
|Oct 29
 
| Bingyang Hu
 
| UW Madison
 
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| Street
+
|  
 
|-
 
|-
|Nov 5
+
|October 20
| Kevin O'Neill
+
|Kevin Luli
| UC Davis
+
|UC Davis
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| Betsy
+
|  
 
|-
 
|-
|Nov 12
+
|October 27
| Francesco di Plinio
+
|TBA
| Washington University in St. Louis
 
|[[#linktoabstract  |  Title ]]
 
| Shaoming
 
|-
 
|Nov 19
 
| Person
 
 
| Institution
 
| Institution
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| Sponsor
+
|  
 
|-
 
|-
|Nov 26
+
|November 3
| No Seminar
+
|No seminar
 
|  
 
|  
 
|
 
|
 
|  
 
|  
 
|-
 
|-
|Dec 3
+
|November 10
| Person
+
|TBA
 
| Institution
 
| Institution
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| Sponsor
+
|  
 
|-
 
|-
|Dec 10
+
|November 17
| No Seminar
+
|Tamas Titkos
 +
|BBS U of Applied Sciences and Renyi Institute
 +
|[[#linktoabstract  |  Title ]]
 
|  
 
|  
|
 
|
 
 
|-
 
|-
|Jan 21
+
|November 24
| No Seminar
+
| No seminar
 
|  
 
|  
 
|
 
|
|
+
|  
 
|-
 
|-
|Jan 28
+
|December 1
| Person
+
| TBA
 
| Institution
 
| Institution
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| Sponsor
+
|  
|-
 
|Feb 4
 
| Person
 
| Institution
 
|[[#linktoabstract  |  Title ]]
 
| Sponsor
 
|-
 
|Feb 11
 
| Person
 
| Institution
 
|[[#linktoabstract  |  Title ]]
 
| Sponsor
 
|-
 
|Feb 18
 
| Person
 
| Institution
 
|[[#linktoabstract  |  Title ]]
 
| Sponsor
 
 
|-
 
|-
|Feb 25
+
|December 8
| Person
+
|TBA
 
| Institution
 
| Institution
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| Sponsor
 
|-
 
|Mar 3
 
| Person
 
| Institution
 
|[[#linktoabstract  |  Title ]]
 
| Sponsor
 
|-
 
|Mar 10
 
| Person
 
| Institution
 
|[[#linktoabstract  |  Title ]]
 
| Sponsor
 
|-
 
|Mar 17
 
| Spring Break!
 
|
 
|
 
 
|  
 
|  
 
|-
 
|-
|Mar 24
+
 
| Oscar Dominguez
 
| Universidad Complutense de Madrid
 
|[[#linktoabstract  |  Title ]]
 
| Andreas
 
|-
 
|Mar 31
 
| Person
 
| Institution
 
|[[#linktoabstract  |  Title ]]
 
| Sponsor
 
|-
 
|Apr 7
 
| Reserved
 
| Institution
 
|[[#linktoabstract  |  Title ]]
 
| Street
 
|-
 
|Apr 14
 
| Person
 
| Institution
 
|[[#linktoabstract  |  Title ]]
 
| Sponsor
 
|-
 
|Apr 21
 
| Diogo Oliveira e Silva
 
| University of Birmingham
 
|[[#linktoabstract  |  Title ]]
 
| Betsy
 
|-
 
|Apr 28
 
| No Seminar
 
|
 
|
 
|
 
|-
 
 
|}
 
|}
  
 
=Abstracts=
 
=Abstracts=
===José Madrid===
+
===Name===
  
Title: On the regularity of maximal operators on Sobolev Spaces
+
Title
  
Abstract:  In this talk, we will discuss the regularity properties (boundedness and
+
Abstract
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
+
===Name===
  
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.
+
Title
  
===Joris Roos===
+
Abstract
  
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 $E$.
+
===Name===
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
  
Title: A generalized Kerner theorem and hyperbolic metrics on Stein spaces with compact spherical boundaries
+
Abstract
 
 
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.
 
 
 
 
 
 
 
 
 
===Xiaocheng Li===
 
 
 
Title:  An Estimate for Spherical Functions on $\mathrm{SL}(3,\mathbb{R})$
 
 
 
Abstract:  We prove an estimate for spherical functions $\phi_\lambda(a)$ on $\mathrm{SL}(3,\mathbb{R})$, establishing uniform decay in the spectral parameter $\lambda$ when the group parameter $a$ is restricted to a compact subset of the abelian subgroup $\mathrm{A}$. In the case of $\mathrm{SL}(3,\mathbb{R})$, it improves a result by J.J. Duistermaat, J.A.C. Kolk and V.S. Varadarajan by removing the limitation that $a$ should remain regular. As in their work, we estimate the oscillatory integral that appears in the integral formula for spherical functions by the method of stationary phase. However, the major difference is that we investigate the stability of the singularities arising from the linearized phase function by classifying their local normal forms when the parameters $\lambda$ and $a$ vary.
 
  
  
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Abstract
 
Abstract
 +
  
 
=Extras=
 
=Extras=
 
[[Blank Analysis Seminar Template]]
 
[[Blank Analysis Seminar Template]]

Latest revision as of 19:21, 3 August 2020

The 2020-2021 Analysis Seminar will be organized by David Beltran and Andreas Seeger. It will be online at least for the Fall semester, with details to be announced in September.

If you'd like to suggest speakers for the spring semester please contact David and Andreas (dbeltran at math, seeger at math).


Previous_Analysis_seminars

https://www.math.wisc.edu/wiki/index.php/Previous_Analysis_seminars

Current Analysis Seminar Schedule

date speaker institution title host(s)
September 22 Alexei Poltoratski UW Madison Title
September 29 Polona Durcik Chapman University Title
September 30 Joris Roos University of Massachusetts - Lowell Title
October 6 Andrew Zimmer UW Madison Title
October 13 Hong Wang Princeton/IAS Title
October 20 Kevin Luli UC Davis Title
October 27 TBA Institution Title
November 3 No seminar
November 10 TBA Institution Title
November 17 Tamas Titkos BBS U of Applied Sciences and Renyi Institute Title
November 24 No seminar
December 1 TBA Institution Title
December 8 TBA Institution Title

Abstracts

Name

Title

Abstract


Name

Title

Abstract


Name

Title

Abstract


Name

Title

Abstract


Name

Title

Abstract


Extras

Blank Analysis Seminar Template