Difference between revisions of "Analysis Seminar"

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(Analysis Seminar Schedule)
(Analysis Seminar Schedule)
 
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'''Analysis Seminar
+
'''Fall 2019 and Spring 2020 Analysis Seminar Series
 
'''
 
'''
  
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!align="left" | host(s)
 
!align="left" | host(s)
 
|-
 
|-
|Sept 11
+
|Sept 10
| Simon Marshall
+
| José Madrid
 +
| UCLA
 +
|[[#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
 
| UW Madison
|[[#Simon Marshall | Integrals of eigenfunctions on hyperbolic manifolds ]]
+
|[[#Joris Roos |   L^p improving estimates for maximal spherical averages ]]
|  
+
| Brian
 
|-
 
|-
|'''Wednesday, Sept 12'''
+
|Sept 20 (2:25 PM Friday, Room B139 VV)
| Gunther Uhlmann 
+
| Xiaojun Huang
| University of Washington
+
| Rutgers University–New Brunswick
| Distinguished Lecture Series
+
|[[#linktoabstract  |  A generalized Kerner theorem and hyperbolic metrics on Stein spaces with compact spherical boundaries ]]
| See colloquium website for location
+
| Xianghong
 
|-
 
|-
|'''Friday, Sept 14'''
+
|Sept 24
| Gunther Uhlmann 
+
| Person
| University of Washington
+
| Institution
| Distinguished Lecture Series
+
|[[#linktoabstract  |  Title ]]
| See colloquium website for location
+
| Sponsor
 
|-
 
|-
|Sept 18
+
|Oct 1
| Grad Student Seminar
+
| Xiaocheng Li
|  
+
| UW Madison
|
+
|[[#linktoabstract  |  Title ]]
|
+
| Simon
 
|-
 
|-
|Sept 25
+
|Oct 8
| Grad Student Seminar
+
| Jeff Galkowski
|
+
| Northeastern University
|
+
|[[#linktoabstract  |  Title ]]
|
+
| Betsy
 
|-
 
|-
|Oct 9
+
|Oct 15
| Hong Wang
+
| David Beltran
| MIT
+
| UW Madison
|[[#Hong Wang About Falconer distance problem in the plane ]]
+
|[[#linktoabstract Title ]]
| Ruixiang
+
| Brian
 
|-
 
|-
|Oct 16
+
|Oct 22
| Polona Durcik
+
| Laurent Stolovitch
| Caltech
+
| University of Nice Sophia-Antipolis
|[[#Polona Durcik Singular Brascamp-Lieb inequalities and extended boxes in R^n ]]
+
|[[#linktoabstract Title ]]
| Joris
+
| Xianghong
 
|-
 
|-
|Oct 23
+
|<b>Wednesday Oct 23 in B129</b>
| Song-Ying Li
+
|Dominique Kemp
| UC Irvine
+
|Indiana University
|[[#Song-Ying Li  |   Estimates for the first positive eigenvalue of Kohn Laplacian on a pseudo-Hermitian manifold ]]
+
|tbd | tbd
| Xianghong
+
|Betsy
 
|-
 
|-
|Oct 30
+
|Oct 29
|Grad student seminar
+
| Bingyang Hu
|
+
| UW Madison
|
+
|[[#linktoabstract  |  Title ]]
|
+
| Street
 
|-
 
|-
|Nov 6
+
|Nov 5
| Hanlong Fang
+
| Kevin O'Neill
| UW Madison
+
| UC Davis
|[[#HanlongFang A generalization of the theorem of Weil and Kodaira on prescribing residues ]]
+
|[[#linktoabstract Title ]]
| Brian
+
| Betsy
 
|-
 
|-
||'''Monday, Nov. 12, B139'''
+
|Nov 12
| Kyle Hambrook
+
| Francesco di Plinio
| San Jose State University
+
| Washington University in St. Louis
|[[#Kyle Hambrook Fourier Decay and Fourier Restriction for Fractal Measures on Curves ]]
+
|[[#linktoabstract Title ]]
| Andreas
+
| Shaoming
 
|-
 
|-
|Nov 13
+
|Nov 19
| Laurent Stolovitch
+
| Person
| Université de Nice - Sophia Antipolis
+
| Institution
|[[#Laurent Stolovitch Equivalence of Cauchy-Riemann manifolds and multisummability theory ]]
+
|[[#linktoabstract Title ]]
|Xianghong
+
| Sponsor
 
|-
 
|-
|Nov 20
+
|Nov 26
| Grad Student Seminar
+
| No Seminar
 
|  
 
|  
|[[#linktoabstract  |    ]]
+
|
 
|  
 
|  
 
|-
 
|-
|Nov 27
+
|Dec 3
| No Seminar
+
| Person
|  
+
| Institution
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
|  
+
| Sponsor
 
|-
 
|-
|Dec 4
+
|Dec 10
 
| No Seminar
 
| No Seminar
 
|  
 
|  
|[[#linktoabstract  |  Title ]]
+
|
|
+
|
|-
 
|Jan 22
 
| Brian Cook
 
| Kent
 
|[[#linktoabstract  |  Equidistribution results for integral points on affine homogenous algebraic varieties ]]
 
| Street
 
 
|-
 
|-
|Jan 29
+
|Jan 21
 
| No Seminar
 
| No Seminar
 
|  
 
|  
|[[#linktoabstract  |  Title ]]
+
|
 
|
 
|
 
|-
 
|-
|Feb 5, '''B239'''
+
|Jan 28
| Alexei Poltoratski
+
| Person
| Texas A&M
+
| Institution
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| Denisov
+
| Sponsor
 
|-
 
|-
|'''Friday, Feb 8'''
+
|Feb 4
| Aaron Naber
+
| Person
| Northwestern University
+
| Institution
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| See colloquium website for location
+
| Sponsor
 
|-
 
|-
|Feb 12
+
|Feb 11
| Shaoming Guo
+
| Person
| UW Madison
+
| Institution
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
|  
+
| Sponsor
 
|-
 
|-
|'''Wed, Feb 13, B239'''
+
|Feb 18
| Dean Baskin
+
| Person
| TAMU
+
| Institution
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
|
+
| Sponsor
 
|-
 
|-
|'''Friday, Feb 15'''
+
|Feb 25
| Lillian Pierce
+
| Person
| Duke
+
| Institution
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
|
+
| Sponsor
 
|-
 
|-
|'''Monday,  Feb 18, 3:30 p.m, B239.'''
+
|Mar 3
| Daniel Tataru
+
| Person
| UC Berkeley
+
| Institution
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
|
+
| Sponsor
 
|-
 
|-
|Feb 19
+
|Mar 10
| PDE seminar in B139
+
| Person
|
+
| Institution
|
+
|[[#linktoabstract  |  Title ]]
|
+
| Sponsor
 
|-
 
|-
|Feb 26
+
|Mar 17
| No Seminar
+
| Spring Break!
 
|
 
|
 
|
 
|
 +
|
 
|-
 
|-
|Mar 5
+
|Mar 24
| Loredana Lanzani
+
| Oscar Dominguez
| Syracuse University
+
| Universidad Complutense de Madrid
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| Xianghong
+
| Andreas
|-
 
|Mar 12
 
| Trevor Leslie
 
| UW Madison
 
|[[#linktoabstract  |  Title ]]
 
|
 
 
|-
 
|-
|Mar 19
+
|Mar 31
|Spring Break!!!
 
|
 
|
 
|
 
|-
 
|Mar 26
 
 
| Person
 
| Person
 
| Institution
 
| Institution
Line 189: Line 184:
 
| Sponsor
 
| Sponsor
 
|-
 
|-
|Apr 2
+
|Apr 7
| Stefan Steinerberger
+
| Reserved
| Yale
+
| Institution
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| Shaoming, Andreas
+
| Street
 
|-
 
|-
 
+
|Apr 14
|Apr 9
 
| Franc Forstnerič
 
| Unversity of Ljubljana
 
|[[#linktoabstract  |  Title ]]
 
| Xianghong, Andreas
 
|-
 
|Apr 16
 
| Andrew Zimmer
 
| Louisiana State University
 
|[[#linktoabstract  |  Title ]]
 
| Xianghong
 
|-
 
|Apr 23
 
 
| Person
 
| Person
 
| Institution
 
| Institution
Line 214: Line 196:
 
| Sponsor
 
| Sponsor
 
|-
 
|-
|Apr 30
+
|Apr 21
 
| Person
 
| Person
 
| Institution
 
| Institution
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
 
| Sponsor
 
| Sponsor
 +
|-
 +
|Apr 28
 +
| No Seminar
 +
|
 +
|
 +
|
 
|-
 
|-
 
|}
 
|}
  
 
=Abstracts=
 
=Abstracts=
===Simon Marshall===
+
===José Madrid===
 
 
''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.
 
  
 +
Title: On the regularity of maximal operators on Sobolev Spaces
  
===Hong Wang===
+
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.
  
''About Falconer distance problem in the plane''
+
===Yakun Xi===
  
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.
+
Title: Distance sets on Riemannian surfaces and microlocal decoupling inequalities
  
===Polona Durcik===
+
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.
  
''Singular Brascamp-Lieb inequalities and extended boxes in R^n''
+
===Joris Roos===
  
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.
+
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 $E$.
 +
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.
  
===Song-Ying Li===
+
===Xiaojun Huang===
  
''Estimates for the first positive eigenvalue of Kohn Laplacian on a pseudo-Hermitian manifold''
+
Title: A generalized Kerner theorem and hyperbolic metrics on Stein spaces with compact spherical boundaries
  
In this talk, I will present my recent works with my collaborators on the lower bound and upper bounds estimates
+
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.
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.
 
  
  
===Hanlong Fan===
 
  
''A generalization of the theorem of Weil and Kodaira on prescribing residues''
 
  
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.
+
===Name===
  
===Kyle Hambrook===
+
Title
  
''Fourier Decay and Fourier Restriction for Fractal Measures on Curves''
+
Abstract
  
I will discuss my recent work on some problems concerning
 
Fourier decay and Fourier restriction for fractal measures on curves.
 
  
===Laurent Stolovitch===
+
===Name===
  
''Equivalence of Cauchy-Riemann manifolds and multisummability theory''
+
Title
  
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.
+
Abstract
  
  
===Brian Cook===
+
===Name===
  
''Equidistribution results for integral points on affine homogenous algebraic varieties''
+
Title
  
Let Q be a homogenous integral polynomial of degree at least two. We consider certain results and questions concerning the distribution of the integral points on the level sets of Q.
+
Abstract
  
 
=Extras=
 
=Extras=
 
[[Blank Analysis Seminar Template]]
 
[[Blank Analysis Seminar Template]]

Latest revision as of 10:37, 17 September 2019

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, Room B139 VV) 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.

Joris Roos

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 $E$. 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: 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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Abstract


Name

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Abstract


Name

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Abstract

Extras

Blank Analysis Seminar Template