Distribution of Resonances for Hyperbolic Surfaces

Math Physics Seminar
Wednesday, October 10, 2018 - 4:00pm for 1 hour (actually 50 minutes)
Skiles 005
David Borthwick – Dept. of Math. and Comp. Science, Emory University
Michael Loss
Non-compact hyperbolic surfaces serve as a model case for quantum scattering theory with chaotic classical dynamics. In this talk I’ll explain how scattering resonances are defined in this context and discuss our current understanding of their distribution. The primary focus of the talk will be on some recent conjectures inspired by the physics of quantum chaotic systems. I will introduce these and discuss the numerical evidence as well as recent theoretical progress.