Iosif Polterovich
(University of Montreal)
"Dynamical aspects of spectral asymptotics"
Abstract:
Spectral geometry studies the behaviour of eigenvalues and eigenfunctions of the Laplacian in relation with the properties of the underlying Riemannian manifold. The talk focuses on the link between the dynamical features of the geodesic flow and the high-energy asymptotics of the spectral data. I will present an overview of some well-known and recent results illustrating this ``quantum-classical" correspondence.