中科院数学与系统科学研究院

数学研究所

中科院华罗庚数学重点实验室

综合报告会

（Colloquium）

报告人： 魏巧玲 (首都师范大学)

题  目：Inverse spectral problem of convex planar domains

时  间：2019.10.18(星期五) , 16:00-17:00(15:30-16:00为茶点时间, 地点: 数学院南楼N920室)

地  点：数学院南楼N202室

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.