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 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 11
+
|September 22
| Simon Marshall
+
|Alexei Poltoratski
| Madison
+
|UW Madison
|[[#Simon Marshall | Integrals of eigenfunctions on hyperbolic manifolds ]]
+
|[[#linktoabstract |   Title ]]
 
|  
 
|  
 
|-
 
|-
|'''Wednesday, Sept 12'''
+
|September 29
| Gunther Uhlmann 
+
|Polona Durcik
| University of Washington
+
| Chapman University
| Distinguished Lecture Series
+
|[[#linktoabstract |   Title ]]
| See colloquium website for location
 
|-
 
|'''Friday, Sept 14'''
 
| Gunther Uhlmann  
 
| University of Washington
 
| Distinguished Lecture Series
 
| See colloquium website for location
 
|-
 
|Sept 18
 
| Grad Student Seminar
 
 
|  
 
|  
|
 
|
 
 
|-
 
|-
|Sept 25
+
|September 30
| Grad Student Seminar
+
|Joris Roos
|
+
|University of Massachusetts - Lowell
|
 
|
 
|-
 
|Oct 9
 
| Hong Wang
 
| MIT
 
|[[#Hong Wang  |  About Falconer distance problem in the plane ]]
 
| Ruixiang
 
|-
 
|Oct 16
 
| Polona Durcik
 
| Caltech
 
|[[#Polona Durcik  |  Singular Brascamp-Lieb inequalities and extended boxes in R^n ]]
 
| Joris  
 
|-
 
|Oct 23
 
| Song-Ying Li
 
| UC Irvine
 
|[[#Song-Ying Li  |  Estimates for the first positive eigenvalue of Kohn Laplacian on a pseudo-Hermitian manifold ]]
 
| Xianghong
 
|-
 
|Oct 30
 
|Grad student seminar
 
|
 
|
 
|
 
|-
 
|Nov 6
 
| Hanlong Fang
 
| UW Madison
 
|[[#HanlongFang  |  A generalization of the theorem of Weil and Kodaira on prescribing residues ]]
 
| Brian
 
|-
 
||'''Monday, Nov. 12'''
 
| Kyle Hambrook
 
| San Jose State University
 
|[[#Kyle Hambrook  |  Fourier Decay and Fourier Restriction for Fractal Measures on Curves ]]
 
| Andreas
 
|-
 
|Nov 13
 
| Laurent Stolovitch
 
| Université de Nice - Sophia Antipolis
 
|[[#Laurent Stolovitch  |  Equivalence of Cauchy-Riemann manifolds and multisummability theory ]]
 
|Xianghong
 
|-
 
|Nov 20
 
| Grad Student Seminar
 
|
 
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
 
|  
 
|  
 
|-
 
|-
|Nov 27
+
|October 6
| Person
+
|Andrew Zimmer
| Institution
+
|UW Madison
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| Sponsor
+
|  
 
|-
 
|-
|Dec 4
+
|October 13
| Person
+
|Hong Wang
| Institution
+
|Princeton/IAS
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| Sponsor
+
|  
 
|-
 
|-
|Jan 22
+
|October 20
| Brian Cook
+
|Kevin Luli
| Kent
+
|UC Davis
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| Street
+
|  
 
|-
 
|-
|Jan 29
+
|October 27
| Trevor Leslie
+
|Terence Harris
| UW Madison
+
| Cornell University
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
 
|  
 
|  
 
|-
 
|-
|Feb 5
+
|November 3
| No seminar
+
|No seminar
 
|  
 
|  
 
|
 
|
|
+
|  
 
|-
 
|-
|'''Friday, Feb 8'''
+
|November 10
| Aaron Naber
+
|Óscar Domínguez
| Northwestern University
+
| Universidad Complutense de Madrid
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| See colloquium website for location
+
|  
 
|-
 
|-
|Feb 12
+
|November 17
| No seminar
+
|Tamas Titkos
|
+
|BBS U of Applied Sciences and Renyi Institute
|
 
|
 
|-
 
|'''Friday, Feb 15'''
 
| Charles Smart
 
| University of Chicago
 
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| See colloquium website for information
+
|  
 
|-
 
|-
|Feb 19
+
|November 24
| Shaoming Guo
+
| No seminar
| UW Madison
 
|[[#linktoabstract  |  Title ]]
 
 
|  
 
|  
|-
 
|Feb 26
 
| Person
 
| Institution
 
|[[#linktoabstract  |  Title ]]
 
| Sponsor
 
|-
 
|Mar 5
 
| Person
 
| Institution
 
|[[#linktoabstract  |  Title ]]
 
| Sponsor
 
|-
 
|Mar 12
 
| No Seminar
 
|
 
|[[#linktoabstract  |  Title ]]
 
 
|
 
|
|-
 
|Mar 19
 
|Spring Break!!!
 
 
|  
 
|  
|
 
|
 
 
|-
 
|-
|Mar 26
+
|December 1
| Person
+
| Jonathan Hickman
| Institution
+
| The University of Edinburgh
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| Sponsor
+
|  
 
|-
 
|-
|Apr 2
+
|December 8
| Stefan Steinerberger
+
|David Beltran
| Yale
+
| UW Madison
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| Shaoming, Andreas
+
|  
 
|-
 
|-
  
|Apr 9
 
| Franc Forstnerič
 
| Unversity of Ljubljana
 
|[[#linktoabstract  |  Title ]]
 
| Xianghong, Andreas
 
|-
 
|Apr 16
 
| Person
 
| Institution
 
|[[#linktoabstract  |  Title ]]
 
| Sponsor
 
|-
 
|Apr 23
 
| Person
 
| Institution
 
|[[#linktoabstract  |  Title ]]
 
| Sponsor
 
|-
 
|Apr 30
 
| Person
 
| Institution
 
|[[#linktoabstract  |  Title ]]
 
| Sponsor
 
|-
 
 
|}
 
|}
  
 
=Abstracts=
 
=Abstracts=
===Simon Marshall===
+
===Name===
 
 
''Integrals of eigenfunctions on hyperbolic manifolds''
 
 
 
Let X be a compact hyperbolic manifold, and let Y be a totally geodesic closed submanifold in X.  I will discuss the problem of bounding the integral of a Laplace eigenfunction on X over Y, as the eigenvalue tends to infinity.  I will present an upper bound for these integrals that is sharp on average, and briefly describe ongoing work with Farrell Brumley in which we attempt to produce eigenfunctions with very large periods.
 
 
 
 
 
===Hong Wang===
 
 
 
''About Falconer distance problem in the plane''
 
 
 
If E is a compact set of Hausdorff dimension greater than 5/4 on the plane, we prove that there is a point x\in E such that the set of distances between x and E has positive Lebesgue measure. Our result improves upon Wolff's theorem for dim E> 4/3. This is joint work with Larry Guth, Alex Iosevich and Yumeng Ou.
 
  
===Polona Durcik===
+
Title
  
''Singular Brascamp-Lieb inequalities and extended boxes in R^n''
+
Abstract
  
Brascamp-Lieb inequalities are L^p estimates for certain multilinear forms on functions on Euclidean spaces. In this talk we consider singular Brascamp-Lieb inequalities, which arise when one of the functions is replaced by a Calderon-Zygmund kernel. We focus on a family of multilinear forms in R^n with a certain cubical structure and discuss their connection to some patterns in positive density subsets in R^n. Based on joint works with V. Kovac and C. Thiele.
 
  
 +
===Name===
  
===Song-Ying Li===
+
Title
  
''Estimates for the first positive eigenvalue of Kohn Laplacian on a pseudo-Hermitian manifold''
+
Abstract
  
In this talk, I will present my recent works with my collaborators on the lower bound and upper bounds estimates
 
for the first positive eigenvalues of Kohn Laplacian and sub-Laplacian on a strictly pseudoconvex pseudo-Hermitian CR manifold,
 
which include CR Lichnerowicz-Obata theorem for the lower and upper bounds for the first positive eigenvalue for the
 
Kohn Laplacian on strictly pseudoconvex hypersurfaces.
 
  
 +
===Name===
  
 +
Title
  
 +
Abstract
  
===Hanlong Fan===
 
  
''A generalization of the theorem of Weil and Kodaira on prescribing residues''
+
===Name===
  
An old theorem of Weil and Kodaira says that: For a K\"ahler manifold X, there exists a closed meromorphic one-form with residue divisor D if and only if D is homologous to zero. In this talk, I will generalize Weil and Kodaira's criterion to non-K\"ahler manifolds.
+
Title
  
===Kyle Hambrook===
+
Abstract
  
''Fourier Decay and Fourier Restriction for Fractal Measures on Curves''
 
  
I will discuss my recent work on some problems concerning
+
===Name===
Fourier decay and Fourier restriction for fractal measures on curves.
 
  
===Laurent Stolovitch===
+
Title
  
''Equivalence of Cauchy-Riemann manifolds and multisummability theory''
+
Abstract
  
We apply the multisummability theory from Dynamical Systems to CR-geometry. As the main result, we show that two real-analytic hypersurfaces in $\mathbb C^2$ are formally equivalent, if and only if they are $C^\infty$ CR-equivalent at the respective point. As a corollary, we prove that all formal equivalences between real-algebraic Levi-nonflat hypersurfaces in $\mathbb C^2$  are algebraic (and in particular convergent). This is a joint work with I. Kossovskiy and B. Lamel.
 
  
 
=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