Difference between revisions of "Analysis Seminar"

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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
| UW Madison
+
| UCLA
|[[#Simon Marshall | Integrals of eigenfunctions on hyperbolic manifolds ]]
+
|[[#linktoabstract |   Title ]]
|  
+
| Andreas, David
 
|-
 
|-
|'''Wednesday, Sept 12'''
+
|Sept 13 (Friday)
| Gunther Uhlmann 
+
| Yakun Xi
| University of Washington
+
| University of Rochester
| Distinguished Lecture Series
+
|[[#linktoabstract  |  Title ]]
| See colloquium website for location
+
| Shaoming
 
|-
 
|-
|'''Friday, Sept 14'''
+
|Sept 17
| Gunther Uhlmann 
+
| Joris Roos
| University of Washington
+
| UW Madison
| Distinguished Lecture Series
+
|[[#linktoabstract  |  Title ]]
| See colloquium website for location
+
| Brian
 
|-
 
|-
|Sept 18
+
|Sept 24
| Grad Student Seminar
+
| Person
|  
+
| Institution
|
+
|[[#linktoabstract  |  Title ]]
|
+
| Sponsor
 
|-
 
|-
|Sept 25
+
|Oct 1
| Grad Student Seminar
+
| Xiaocheng Li
|
+
| UW Madison
|
+
|[[#linktoabstract  |  Title ]]
|
+
| Simon
 
|-
 
|-
|Oct 9
+
|Oct 8
| Hong Wang
+
| Jeff Galkowski
| MIT
+
| Northeastern University
|[[#Hong Wang About Falconer distance problem in the plane ]]
+
|[[#linktoabstract Title ]]
| Ruixiang
+
| Betsy
|-
 
|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
+
|Oct 15
| Hanlong Fang
+
| David Beltran
 
| UW Madison
 
| UW Madison
|[[#Hanlong Fang A generalization of the theorem of Weil and Kodaira on prescribing residues ]]
+
|[[#linktoabstract Title ]]
 
| Brian
 
| Brian
 
|-
 
|-
||'''Monday, Nov. 12, B139'''
+
|Oct 22
| Kyle Hambrook
 
| San Jose State University
 
|[[#Kyle Hambrook  |  Fourier Decay and Fourier Restriction for Fractal Measures on Curves ]]
 
| Andreas
 
|-
 
|Nov 13
 
 
| Laurent Stolovitch
 
| Laurent Stolovitch
| Université de Nice - Sophia Antipolis
+
| University of Nice Sophia-Antipolis
|[[#Laurent Stolovitch  |  Equivalence of Cauchy-Riemann manifolds and multisummability theory ]]
 
|Xianghong
 
|-
 
|Nov 20
 
| Grad Student Seminar
 
|
 
|[[#linktoabstract  |    ]]
 
|
 
|-
 
|Nov 27
 
| No Seminar
 
|
 
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
|  
+
| Xianghong
 
|-
 
|-
|Dec 4
+
|Oct 29
| No Seminar
+
| Bingyang Hu
|  
+
| UW Madison
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
|
 
|-
 
|Jan 22
 
| Brian Cook
 
| Kent
 
|[[#Brian Cook  |  Equidistribution results for integral points on affine homogenous algebraic varieties ]]
 
 
| Street
 
| Street
 
|-
 
|-
|Jan 29
+
|Nov 5
| No Seminar
+
| Kevin O'Neill
|  
+
| UC Davis
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
|
+
| Betsy
 
|-
 
|-
|Feb 5, '''B239'''
+
|Nov 12
| Alexei Poltoratski
+
| Francesco di Plinio
| Texas A&M
+
| Washington University in St. Louis
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| Denisov
+
| Shaoming
 
|-
 
|-
|'''Friday, Feb 8'''
+
|Nov 19
| Aaron Naber
+
| Person
| Northwestern University
+
| Institution
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| See colloquium website for location
+
| Sponsor
 
|-
 
|-
|Feb 12
+
|Nov 26
| Shaoming Guo
+
| No Seminar
| UW Madison
+
|  
|[[# Shaoming Guo | Polynomial Roth theorems in Salem sets  ]]
+
|
 
|  
 
|  
 
|-
 
|-
|'''Wed, Feb 13, B239'''
+
|Dec 3
| Dean Baskin
+
| Person
| TAMU
+
| Institution
|[[# Dean Baskin  |  Radiation fields for wave  equations ]]
 
|  Colloquium
 
|-
 
|'''Friday, Feb 15'''
 
| Lillian Pierce
 
| Duke
 
|[[# Lillian Pierce  |  Short character sums ]]
 
|  Colloquium
 
|-
 
|'''Monday,  Feb 18, 3:30 p.m, B239.'''
 
| Daniel Tataru
 
| UC Berkeley
 
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
|
+
| Sponsor
 
|-
 
|-
|Feb 19
+
|Dec 10
| PDE seminar in B139
+
| No Seminar
|
+
|  
 
|
 
|
 
|
 
|
 
|-
 
|-
|Feb 26
+
|Jan 21
 
| No Seminar
 
| No Seminar
 +
|
 
|
 
|
 
|
 
|
 
|-
 
|-
|Mar 5
+
|Jan 28
| Loredana Lanzani
+
| Person
| Syracuse University
+
| Institution
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| Xianghong
+
| Sponsor
 +
|-
 +
|Feb 4
 +
| Person
 +
| Institution
 +
|[[#linktoabstract  |  Title ]]
 +
| Sponsor
 +
|-
 +
|Feb 11
 +
| Person
 +
| Institution
 +
|[[#linktoabstract  |  Title ]]
 +
| Sponsor
 
|-
 
|-
|Mar 12
+
|Feb 18
| Trevor Leslie
+
| Person
| UW Madison
+
| Institution
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
|
+
| Sponsor
 
|-
 
|-
|Mar 19
+
|Feb 25
|Spring Break!!!
+
| Person
|  
+
| Institution
|
+
|[[#linktoabstract  |  Title ]]
|
+
| Sponsor
 
|-
 
|-
|Mar 26
+
|Mar 3
 
| Person
 
| Person
 
| Institution
 
| Institution
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| Sponsor
 
| Sponsor
 
|-
 
|-
|Apr 2
+
|Mar 10
| Stefan Steinerberger
+
| Person
| Yale
+
| Institution
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| Shaoming, Andreas
+
| Sponsor
 +
|-
 +
|Mar 17
 +
| Spring Break!
 +
|
 +
|
 +
|
 
|-
 
|-
 
+
|Mar 24
|Apr 9
+
| Oscar Dominguez
| Franc Forstnerič
+
| Universidad Complutense de Madrid
| Unversity of Ljubljana
+
|[[#linktoabstract  |  Title ]]
 +
| Andreas
 +
|-
 +
|Mar 31
 +
| Person
 +
| Institution
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| Xianghong, Andreas
+
| Sponsor
 
|-
 
|-
|Apr 16
+
|Apr 7
| Andrew Zimmer
+
| Reserved
| Louisiana State University
+
| Institution
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
| Xianghong
+
| Street
 
|-
 
|-
|Apr 23
+
|Apr 14
 
| Person
 
| Person
 
| Institution
 
| Institution
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| Sponsor
 
| Sponsor
 
|-
 
|-
|Apr 30
+
|Apr 21
 
| Person
 
| Person
 
| Institution
 
| Institution
 
|[[#linktoabstract  |  Title ]]
 
|[[#linktoabstract  |  Title ]]
 
| Sponsor
 
| Sponsor
 +
|-
 +
|Apr 28
 +
| No Seminar
 +
|
 +
|
 +
|
 
|-
 
|-
 
|}
 
|}
  
 
=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===
 
 
 
''Singular Brascamp-Lieb inequalities and extended boxes in R^n''
 
 
 
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.
 
 
 
 
 
===Song-Ying Li===
 
 
 
''Estimates for the first positive eigenvalue of Kohn Laplacian on a pseudo-Hermitian manifold''
 
 
 
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.
 
 
 
 
 
===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.
 
 
 
===Kyle Hambrook===
 
  
''Fourier Decay and Fourier Restriction for Fractal Measures on Curves''
+
Title
  
I will discuss my recent work on some problems concerning
+
Abstract
Fourier decay and Fourier restriction for fractal measures on curves.
 
  
===Laurent Stolovitch===
 
  
''Equivalence of Cauchy-Riemann manifolds and multisummability theory''
+
===Name===
  
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.
+
Title
  
 +
Abstract
  
===Brian Cook===
 
  
''Equidistribution results for integral points on affine homogenous algebraic varieties''
+
===Name===
  
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.
+
Title
  
===Shaoming Guo===
+
Abstract
  
''Polynomial Roth theorems in Salem sets''
 
  
Let P(t) be a polynomial of one real variable. I will report a result on searching for patterns of the form (x, x+t, x+P(t)) within Salem sets, whose Hausdorff dimension is sufficiently close to one. Joint work with Fraser and Pramanik.
+
===Name===
  
===Dean Baskin===
+
Title
  
''Radiation fields for wave equations''
+
Abstract
  
Radiation fields are rescaled limits of solutions of wave equations near "null infinity" and capture the radiation pattern seen by a distant observer. They are intimately connected with the Fourier and Radon transforms and with scattering theory. In this talk, I will define and discuss radiation fields in a few contexts, with an emphasis on spacetimes that look flat near infinity. The main result is a connection between the asymptotic behavior of the radiation field and a family of quantum objects on an associated asymptotically hyperbolic space.
 
  
===Lillian Pierce===
+
===Name===
  
''Short character sums''
+
Title
  
A surprisingly diverse array of problems in analytic number theory have at their heart a problem of bounding (from above) an exponential sum, or its multiplicative cousin, a so-called character sum. For example, both understanding the Riemann zeta function or Dirichlet L-functions inside the critical strip, and also counting solutions to Diophantine equations via the circle method or power sieve methods, involve bounding such sums. In general, the sums of interest fall into one of two main regimes: complete sums or incomplete sums, with this latter regime including in particular “short sums.” Short sums are particularly useful, and particularly resistant to almost all known methods. In this talk, we will see what makes a sum “short,” sketch why it would be incredibly powerful to understand short sums, and discuss a curious proof from the 1950’s which is still the best way we know to bound short sums. We will end by describing new work which extends the ideas of this curious proof to bound short sums in much more general situations.
+
Abstract
  
 
=Extras=
 
=Extras=
 
[[Blank Analysis Seminar Template]]
 
[[Blank Analysis Seminar Template]]

Latest revision as of 11:24, 22 August 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 Title Andreas, David
Sept 13 (Friday) Yakun Xi University of Rochester Title Shaoming
Sept 17 Joris Roos UW Madison Title Brian
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
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

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Title

Abstract


Name

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Abstract


Name

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Abstract


Name

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Abstract


Name

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Abstract

Extras

Blank Analysis Seminar Template