报告题目: Hear the shape at infinity

报告人:王丽涵 (California State University, USA)

报告时间:2023613日(星期二) 10:00-11:00

报告地点:维格堂 104

 

报告摘要:In 1966, Mark Kac asked the famous question Can one hear the shape of a Drum ?. In his article with this question as the title, he translates this question to eigenvalue problems of a domain in R^2. That is, can you tell the shape of a domain if eigenvalues are known. This question can be generalized from Euclidean spaces to curved spaces, especially non-compact manifolds. In this talk, we will recall the history of this classic question first. Then we will explain the generalized question in manifolds and known results. In the last, we will discuss our recent results for non-compact Kahler manifolds in this direction.

 

报告人简介:Lihan Wang (王丽涵) is assistant professor at California State University, Long Beach. She obtained her doctor degree in math under the supervision of Peter Li from University of California Irvine. Before joining California State University, Long Beach, she has worked at University of Connecticut as research assistant professor and University of California Riverside as visiting assistant professor.

 

邀请人:王奎