Resonances for manifolds with hyperbolic ends

Math Physics Seminar
Friday, February 22, 2013 - 15:00
1 hour (actually 50 minutes)
Skiles 006
Emory University
Abstract:  In this talk we will survey some recent developments in the scattering theory of complete, infinite-volume manifolds with ends modeled on quotients of hyperbolic space.  The theory of scattering resonances for such spaces is in many ways parallel to the classical case of eigenvalues on a compact Riemann surface.  However, it is only relatively recently that progress has been made in understanding the distribution of these resonances.  We will give some introduction to the theory of resonances in this context and try to sketch this recent progress.  We will also discuss some interesting outstanding conjectures and present numerical evidence related to these.