Speaker：Qiaoling Wei (Capital Normal University)

Time：2023-10-31, 15:00

Location：Conference Room 686 at the 6th floor of Shuli Building at Haiyun Campus

Abstract:

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.