【2月9日】天元几何与分析高级研讨班(线上)

发布者:万宏艳发布时间:2021-02-09浏览次数:10

会议时间:202129日(密码)


腾讯会议号:300 839 004

会议报告安排:

 

时间

报告人

8:40 - 9:30

华波波

Steklov eigenvalues on graphs

9:40 - 10:30

来米加

On the second eigenvalue of sphere

10:50   -11:40

李逸

Measure concentration and log-Sobolev inequalities for   the Ricci flow

14:30 - 15:20

王作勤

Semiclassical isotropic wave functions and their   applications

15:40 - 16:30

徐国义

The construction of the splitting maps

 

 

主办单位:中国科学技术大学,上海交通大学

 

报告摘要

Speaker:华波波(复旦大学)
 Title
 Steklov eigenvalues on graphs
 Abstract
Steklov eigenvalues were extended to graphs. We will discuss estimates of these eigenvalues in term of geometric quantities, based on joint works with Zunwu He, Yan Huang and Zuoqin Wang.

Speaker:来米加(上海交通大学)
 Title
On the second eigenvalue of sphere
 Abstract: This is a report of a theorem of Nadirashvili on the optimal upper bound of the second eigenvalue of sphere.

Speaker:李逸(东南大学)
 Title: Measure concentration and log-Sobolev inequalities for the Ricci flow
 Abstract: We discuss a new log-Sobolev inequality for the Ricci flow based on the work of Hein and Naber, and its consequence on the Gaussian concentration inequality in the Ricci flow.

Speaker:王作勤(中国科学技术大学)
Title: Semiclassical isotropic wave functions and their applications 
 Abs
tract: Rapidly oscillating functions associated with Lagrangian submanifolds play a fundamental role in semiclassical analysis. In this talk I will describe how to associate classes of semiclassical oscillating functions to isotropic submanifolds in phase space, and show that these classes are invariant under the action of arbitrary Fourier integral operators (modulo the usual clean intersection condition). Some applications will also be discussed. This is based on joint works with V. Guillemin and A. Uribe. 

Speaker:徐国义(清华大学)
 Title: The construction of the splitting maps
 Abstract: For a geodesic ball with non-negative Ricci curvature and almost maximal volume, we give the first existence proof of splitting map without compactness argument.
  There are two technical new points, the first one is the way of finding n-directional points by induction, the second one is the error estimates of projections. We will explain the geometric intuition behind the technical proof. This is a joint work with Jie Zhou.