Inverse spectral problem of convex planar domains

：魏巧玲（首都师范大学）
：2023-10-31 15:00
：海韵园数理大楼686会议室

报告人：魏巧玲（首都师范大学）

时  间：2023年10月31日15:00

地  点：海韵园数理大楼686会议室

内容摘要:

This talk is related to the famous question "Can you hear the shape of drum?" by M.Kac in 1966. That is, whether a planar domain Ω can be uniquely determined by its Laplace spectrum consisting of eigenvalues of a Dirichlet problem. Meanwhile, from dynamical aspect, there is length spectrum consisting of perimeters of all periodic orbits of a billiard problem inside Ω. The Laplace and length spectra are closely related. During the talk, we will show some recent progress with dynamical approach on this old topic.

个人简介：

魏巧玲，首都师范大学教授，2013年法国巴黎七大博士毕业。研究方向为动力系统、辛几何，研究领域包括平面区域的反谱问题（听音辨鼓），弹球问题，可积系统与标准型等。成果发表在Annals of Mathematics, Nonlinearity等期刊上；曾荣获霍英东青年教师奖一等奖，入选教育部高层次青年人才。

联系人：吴伟胜