Difference between revisions of "Analysis Seminar"

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'''Analysis Seminar
 
'''
 
  
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 Betsy at stovall(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]]===
 
  
= Summer/Fall 2017 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   
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!align="left" | host(s)
 
!align="left" | host(s)
 
|-
 
|-
|September 8 in B239
+
|September 22
| Tess Anderson
+
|Alexei Poltoratski
| UW Madison
+
|UW Madison
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
|
+
|  
 
|-
 
|-
|September 12
+
|September 29
 +
|Polona Durcik
 +
| Chapman University
 +
|[[#linktoabstract  |  Title ]]
 
|  
 
|  
 +
|-
 +
|September 30
 +
|Joris Roos
 +
|University of Massachusetts - Lowell
 +
|[[#linktoabstract  |  Title ]]
 
|  
 
|  
 +
|-
 +
|October 6
 +
|Andrew Zimmer
 +
|UW Madison
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
 
|  
 
|  
 
|-
 
|-
|September 19
+
|October 13
| Brian Street
+
|Hong Wang
| UW Madison
+
|Princeton/IAS
|[[#Brian Street Convenient Coordinates ]]
+
|[[#linktoabstract Title ]]
| Betsy
+
|  
 
|-
 
|-
|September 26
+
|October 20
| Hiroyoshi Mitake
+
|Kevin Luli
| Hiroshima University
+
|UC Davis
|[[#Hiroyoshi Mitake  |  Derivation of multi-layered interface system and its application ]]
 
| Hung
 
|-
 
|October 3
 
| Joris Roos
 
| UW Madison
 
|[[#linktoabstract  |  A polynomial Roth theorem on the real line ]]
 
| Betsy
 
|-
 
|October 10
 
| Michael Greenblatt
 
| UI Chicago
 
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| Andreas
+
|  
 
|-
 
|-
|October 17
+
|October 27
| David Beltran
+
|Terence Harris
| Bilbao
+
| Cornell University
|[[#David Beltran  |  Fefferman-Stein inequalities ]]
 
| Andreas
 
|-
 
|October 24
 
| Xiaochun Li
 
| UIUC
 
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| Betsy
+
|  
 
|-
 
|-
|Thursday, October 26
+
|November 3
| Fedya Nazarov
+
|No seminar
| Kent State University
+
|  
|[[#linktoabstract  |  Title ]]
+
|
| Betsy, Andreas
+
|  
 
|-
 
|-
|Friday, October 27 in B239
+
|November 10
| Stefanie Petermichl
+
|Óscar Domínguez
| University of Toulouse
+
| Universidad Complutense de Madrid
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| Betsy, Andreas
+
|  
 
|-
 
|-
|November 14
+
|November 17
| Naser Talebizadeh Sardari
+
|Tamas Titkos
| UW Madison
+
|BBS U of Applied Sciences and Renyi Institute
|[[#linktoabstract  |  Quadratic forms and the semiclassical eigenfunction hypothesis ]]
 
| Betsy
 
|-
 
|November 28
 
| Xianghong Chen
 
| UW Milwaukee
 
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| Betsy
+
|  
 
|-
 
|-
|December 5
+
|November 24
|
+
| No seminar
 +
|  
 
|
 
|
 +
|
 +
|-
 +
|December 1
 +
| Jonathan Hickman
 +
| The University of Edinburgh
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
|
+
|  
 
|-
 
|-
|December 12
+
|December 8
| Alex Stokolos
+
|David Beltran
| GA Southern
+
| UW Madison
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| Andreas
+
|  
 
|-
 
|-
 +
 
|}
 
|}
  
 
=Abstracts=
 
=Abstracts=
===Brian Street===
+
===Name===
  
Title:  Convenient Coordinates
+
Title
  
Abstract:  We discuss the method of picking a convenient coordinate system adapted to vector fields.  Let X_1,...,X_q be either real or complex C^1 vector fields.  We discuss the question of when there is a coordinate system in which the vector fields are smoother (e.g., C^m, or C^\infty, or real analytic).  By answering this in a quantitative way, we obtain coordinate charts which can be used as generalized scaling maps.  When the vector fields are real this is joint work with Stovall, and continues in the line of quantitative sub-Riemannian geometry initiated by Nagel, Stein, and Wainger.  When the vector fields are complex one obtains a geometry with more structure which can be thought of as "sub-Hermitian".
+
Abstract
  
  
===Hiroyoshi Mitake===
+
===Name===
  
Title:  Derivation of multi-layered interface system and its application
+
Title
  
Abstract:  In this talk, I will propose a multi-layered interface system which can
+
Abstract
be formally derived by the singular limit of the weakly coupled system of
 
the Allen-Cahn equation.  By using the level set approach, this system can be
 
written as a quasi-monotone degenerate parabolic system.
 
We give results of the well-posedness of viscosity solutions, and study the
 
singularity of each layers. This is a joint work with H. Ninomiya, K. Todoroki.
 
  
  
===David Beltran===
+
===Name===
  
Fefferman Stein Inequalities
+
Title
  
Given an operator T, we focus on obtaining two-weighted inequalities in which the weights are related via certain maximal function. These inequalites, which originated in work of Fefferman and Stein, have been established in an optimal way for different classical operators in Harmonic Analysis. In this talk, we survey some classical results and we present some recent Fefferman-Stein inequalities for pseudodifferential operators and for the solution operators to dispersive equations.
+
Abstract
  
  
 +
===Name===
  
===Naser Talebizadeh Sardari===
+
Title
  
Quadratic forms and the semiclassical eigenfunction hypothesis
+
Abstract
  
Let <math>Q(X)</math> be any integral primitive positive definite quadratic form in <math>k</math> variables, where <math>k\geq4</math>,  and discriminant <math>D</math>. For any integer <math>n</math>, we give an upper bound on the number of integral solutions of <math>Q(X)=n</math>  in terms of <math>n</math>, <math>k</math>, and <math>D</math>. As a corollary, we prove  a conjecture of Lester and Rudnick on the small scale equidistribution of almost all functions belonging to any orthonormal basis of a given  eigenspace of the Laplacian on the flat torus <math>\mathbb{T}^d</math> for <math>d\geq 5</math>. This conjecture is motivated by the work of Berry\cite{Berry, Michael} on semiclassical eigenfunction hypothesis.
 
  
 
===Name===
 
===Name===
Line 141: Line 134:
  
 
Abstract
 
Abstract
 +
  
 
=Extras=
 
=Extras=
 
[[Blank Analysis Seminar Template]]
 
[[Blank Analysis Seminar Template]]

Latest revision as of 17:35, 12 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 Terence Harris Cornell University Title
November 3 No seminar
November 10 Óscar Domínguez Universidad Complutense de Madrid Title
November 17 Tamas Titkos BBS U of Applied Sciences and Renyi Institute Title
November 24 No seminar
December 1 Jonathan Hickman The University of Edinburgh Title
December 8 David Beltran UW Madison Title

Abstracts

Name

Title

Abstract


Name

Title

Abstract


Name

Title

Abstract


Name

Title

Abstract


Name

Title

Abstract


Extras

Blank Analysis Seminar Template