Difference between revisions of "Analysis Seminar"

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===[[Previous Analysis seminars]]===
 
===[[Previous Analysis seminars]]===
  
= Summer/Fall 2017 Analysis Seminar Schedule =
+
= 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
+
|Sept 11
| Tess Anderson
+
| Person
| UW Madison
+
| Institution
|[[#linktoabstract  |  A Spherical Maximal Function along the Primes]]
+
|[[#linktoabstract  |  Title ]]
|Tonghai
+
| Sponsor
 
|-
 
|-
|September 19
+
|Sept 18
| Brian Street
+
| Person
| UW Madison
+
| Institution
|[[#Brian Street Convenient Coordinates ]]
+
|[[#linktoabstract Title ]]
| Betsy
+
| Sponsor
 
|-
 
|-
|September 26
+
|Sept 25
| Hiroyoshi Mitake
+
| Gunther Uhlman
| Hiroshima University
+
| University of Washington
|[[#Hiroyoshi Mitake Derivation of multi-layered interface system and its application ]]
+
|[[#linktoabstract Title ]]
| Hung
+
| Qin Li
 
|-
 
|-
|October 3
+
|Oct 2
| Joris Roos
+
| Person
| UW Madison
+
| Institution
|[[#Joris Roos A polynomial Roth theorem on the real line ]]
+
|[[#linktoabstract Title ]]
| Betsy
+
| Sponsor
 
|-
 
|-
|October 10
+
|Oct 9
| Michael Greenblatt
+
| Person
| UI Chicago
+
| Institution
|[[#Michael Greenblatt Maximal averages and Radon transforms for two-dimensional hypersurfaces ]]
+
|[[#linktoabstract Title ]]
| Andreas
+
| Sponsor
 
|-
 
|-
|October 17
+
|Oct 16
| David Beltran
+
| Person
| Basque Center of Applied Mathematics
+
| Institution
|[[#David Beltran Fefferman-Stein inequalities ]]
+
|[[#linktoabstract Title ]]
| Andreas
+
| Sponsor
 
|-
 
|-
|Wednesday, October 18 in B131
+
|Oct 23
|Jonathan Hickman
+
| Person
|University of Chicago
+
| Institution
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
|Andreas
+
| Sponsor
 
|-
 
|-
|October 24
+
|Oct 30
| Xiaochun Li
+
| Person
| UIUC
+
| Institution
|[[#Xiaochun Li Recent progress on the pointwise convergence problems of Schroedinger equations ]]
+
|[[#linktoabstract Title ]]
| Betsy
+
| Sponsor
 
|-
 
|-
|Thursday, October 26
+
|Nov 6
| Fedya Nazarov
+
| Person
| Kent State University
+
| Institution
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| Betsy, Andreas
+
| Sponsor
 
|-
 
|-
|Friday, October 27 in B239
+
|Nov 13
| Stefanie Petermichl
+
| Person
| University of Toulouse
+
| Institution
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| Betsy, Andreas
+
| Sponsor
 
|-
 
|-
|Wednesday, November 1 in B239
+
|Nov 20
| Shaoming Guo
+
| Thanksgiving!
| Indiana University
+
|  
 +
|
 +
|
 +
|-
 +
|Dec 4
 +
| Person
 +
| Institution
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| Andreas
+
| Sponsor
 
|-
 
|-
|November 14
+
|Jan 22
| Naser Talebizadeh Sardari
+
| Person
| UW Madison
+
| Institution
|[[#linktoabstract  |  Quadratic forms and the semiclassical eigenfunction hypothesis ]]
+
|[[#linktoabstract  |  Title ]]
| Betsy
+
| Sponsor
 
|-
 
|-
|November 28
+
|Jan 29
| Xianghong Chen
+
| Person
| UW Milwaukee
+
| Institution
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| Betsy
+
| Sponsor
 
|-
 
|-
|December 5
+
|Feb 5
| Tentatively reserved (betsy, 10/1)
+
| Person
|
+
| Institution
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
 +
| Sponsor
 +
|-
 +
|Feb 12
 +
| Person
 +
| Institution
 +
|[[#linktoabstract  |  Title ]]
 +
| Sponsor
 +
|-
 +
|Feb 19
 +
| Person
 +
| Institution
 +
|[[#linktoabstract  |  Title ]]
 +
| Sponsor
 +
|-
 +
|Feb 26
 +
| Person
 +
| Institution
 +
|[[#linktoabstract  |  Title ]]
 +
| Sponsor
 +
|-
 +
|Mar 5
 +
| Person
 +
| Institution
 +
|[[#linktoabstract  |  Title ]]
 +
| Sponsor
 +
|-
 +
|Mar 12
 +
| Person
 +
| Institution
 +
|[[#linktoabstract  |  Title ]]
 +
| Sponsor
 +
|-
 +
|Mar 19
 +
|Spring Break!!!
 +
|
 +
|
 
|
 
|
 
|-
 
|-
|December 12
+
|Apr 2
| Alex Stokolos
+
| Person
| GA Southern
+
| Institution
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| Andreas
+
| Sponsor
 +
|-
 +
|Apr 9
 +
| Person
 +
| Institution
 +
|[[#linktoabstract  |  Title ]]
 +
| Sponsor
 +
|-
 +
|Apr 9
 +
| Person
 +
| Institution
 +
|[[#linktoabstract  |  Title ]]
 +
| Sponsor
 +
|-
 +
|Apr 16
 +
| Person
 +
| Institution
 +
|[[#linktoabstract  |  Title ]]
 +
| Sponsor
 +
|-
 +
|Apr 23
 +
| Person
 +
| Institution
 +
|[[#linktoabstract  |  Title ]]
 +
| Sponsor
 +
|-
 +
|Apr 30
 +
| Person
 +
| Institution
 +
|[[#linktoabstract  |  Title ]]
 +
| Sponsor
 
|-
 
|-
 
|}
 
|}
  
 
=Abstracts=
 
=Abstracts=
===Brian Street===
+
===Name===
 
+
Title:  Convenient Coordinates
+
 
+
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".
+
  
===Hiroyoshi Mitake===
+
Title
  
Title:  Derivation of multi-layered interface system and its application
+
Abstract
  
Abstract:  In this talk, I will propose a multi-layered interface system which can
 
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.
 
  
===Joris Roos===
+
===Name===
  
Title: A polynomial Roth theorem on the real line
+
Title
  
Abstract: For a polynomial P of degree greater than one, we show the existence of patterns of the form (x,x+t,x+P(t)) with a gap estimate on t in positive density subsets of the reals. This is an extension of an earlier result of Bourgain. Our proof is a combination of Bourgain’s approach and more recent methods that were originally developed for the study of the bilinear Hilbert transform along curves. This talk is based on a joint work with Polona Durcik and Shaoming Guo.
+
Abstract
  
===Michael Greenblatt===
 
  
Title:  Maximal averages and Radon transforms for two-dimensional hypersurfaces
+
===Name===
  
Abstract:  A general local result concerning L^p boundedness of maximal averages over 2D hypersurfaces is described, where p > 2. The surfaces are allowed to have either the traditional smooth density function or a singularity growing as |(x,y)|^{-t} for some 0 < t < 2. This result is a generalization of a theorem of Ikromov, Kempe, and Mueller. Similar methods can be used to show sharp L^p to L^p_a Sobolev estimates for associated Radon transform operators when p is in a certain interval containing 2.
+
Title
  
===David Beltran===
+
Abstract
  
Title:  Fefferman Stein Inequalities
 
  
Abstract:  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.
+
===Name===
  
===Xiaochun Li ===
+
Title
  
Title:  Recent progress on the pointwsie convergence problems of Schrodinger equations
+
Abstract
  
Abstract:  Recently, Guth, Du and I solved the pointwise convergence problem of Schrodinger equations in two-dimensional case. We proved that the solution to free Schrodinger equation in R^2 converges to its initial data, provided the initial data belongs to H^s for s larger than 1/3.  This result is sharp, up to the end point, due to Bourgain's example. The proof relies on the polynomial partitioning method and  the decoupling method. In addition, the pointwise convergence problem is closely related to Fourier restriction conjecture.
 
  
===Naser Talebizadeh Sardari===
+
===Name===
  
Title: Quadratic forms and the semiclassical eigenfunction hypothesis
+
Title
  
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.
+
Abstract
  
 
=Extras=
 
=Extras=
 
[[Blank Analysis Seminar Template]]
 
[[Blank Analysis Seminar Template]]

Latest revision as of 16:29, 23 May 2018

Analysis Seminar

The seminar will meet Tuesdays, 4:00 p.m. in VV B139, unless otherwise indicated.

If you wish to invite a speaker please contact Betsy at stovall(at)math

Previous Analysis seminars

Analysis Seminar Schedule

date speaker institution title host(s)
Sept 11 Person Institution Title Sponsor
Sept 18 Person Institution Title Sponsor
Sept 25 Gunther Uhlman University of Washington Title Qin Li
Oct 2 Person Institution Title Sponsor
Oct 9 Person Institution Title Sponsor
Oct 16 Person Institution Title Sponsor
Oct 23 Person Institution Title Sponsor
Oct 30 Person Institution Title Sponsor
Nov 6 Person Institution Title Sponsor
Nov 13 Person Institution Title Sponsor
Nov 20 Thanksgiving!
Dec 4 Person Institution Title Sponsor
Jan 22 Person Institution Title Sponsor
Jan 29 Person Institution Title Sponsor
Feb 5 Person Institution Title Sponsor
Feb 12 Person Institution Title Sponsor
Feb 19 Person Institution Title Sponsor
Feb 26 Person Institution Title Sponsor
Mar 5 Person Institution Title Sponsor
Mar 12 Person Institution Title Sponsor
Mar 19 Spring Break!!!
Apr 2 Person Institution Title Sponsor
Apr 9 Person Institution Title Sponsor
Apr 9 Person Institution Title Sponsor
Apr 16 Person Institution Title Sponsor
Apr 23 Person Institution Title Sponsor
Apr 30 Person Institution Title Sponsor

Abstracts

Name

Title

Abstract


Name

Title

Abstract


Name

Title

Abstract


Name

Title

Abstract


Name

Title

Abstract

Extras

Blank Analysis Seminar Template