Fall 2021 and Spring 2022 Analysis Seminars

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 Brian at street(at)math

Analysis Seminar Schedule

date	speaker	institution	title	host(s)
Sept 11	Simon Marshall	Madison	Integrals of eigenfunctions on hyperbolic manifolds
Wednesday, Sept 12	Gunther Uhlmann	University of Washington	Distinguished Lecture Series	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	Grad Student Seminar
Oct 2	Person	Institution	Title	Sponsor
Oct 9	Hong Wang	MIT	About Falconer distance problem in the plane	Ruixiang
Oct 16	Polona Durcik	Caltech	Title	Joris
Oct 23	Song-Ying Li	UC Irvine	Title	Xianghong
Oct 30	Person	Institution	Title	Sponsor
Nov 6	Hanlong Fang	UW Madison	Title	Brian
Monday, Nov. 12	Kyle Hambrook	San Jose State University	Title	Andreas
Nov 13	Laurent Stolovitch	Université de Nice - Sophia Antipolis	Title	Xianghong
Nov 20	No Seminar		Title
Nov 27	Person	Institution	Title	Sponsor
Dec 4	Person	Institution	Title	Sponsor
Jan 22	Brian Cook	Kent	Title	Street
Jan 29	Trevor Leslie	UW Madison	Title
Feb 5	No seminar
Friday, Feb 8	Aaron Naber	Northwestern University	Title	See colloquium website for location
Feb 12	No seminar
Friday, Feb 15	Charles Smart	University of Chicago	Title	See colloquium website for information
Feb 19	Person	Institution	Title	Sponsor
Feb 26	Person	Institution	Title	Sponsor
Mar 5	Person	Institution	Title	Sponsor
Mar 12	No Seminar		Title
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

Simon Marshall

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.

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