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Hear the shape at infinity

发布日期:2023-06-06点击数:

报告人 :王丽涵(University of California Irvine)

时间:2023年06月08日 14:00--

地址:理科楼LA106


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.


简介:Wang,Lihan(王丽涵), She is currently California state university , Long Beach. got the Ph.D in University of California Irvine. Her interest is  global invariants in symplectic manifolds, structures of manifolds at infinity and problems on eigenvalues.She published several papers on JDG, JGEA, Tran. AMS and Proc. A.M.S..


邀请人:林德燮、 周恒宇


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