EVENT DETAILS AND ABSTRACT

Title: Spectral rigidity and planar convex billiards
Speaker: Jacopo De Simoi
Speaker Info: University of Toronto
Brief Description:
Special Note: Midwest Dynamical Systems Conference
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.