Spectral rigidity and planar convex billiards.
Speaker: Jacopo de Simoi, University of Toronto
Abstract: Convex billiards were introduced by Birkhoff in the 1920's as a natural example of Hamiltonian dynamical system. In this talk we describe a remarkable relation between their dynamics and inverse spectral theory. We prove spectral rigidity among generic (finitely) smooth axially symmetric domains which are sufficiently close to a circle and present some work in progress in the direction of extending this result to generic axially symmetric domains This is part of a joint project with V. Kaloshin
Room Reservation Information
Room Number: 114 McAllister
Time: 2:30pm - 3:30pm