Abstract

Resonances are complex characteristic frequencies describing exponentially decaying waves in open systems, where energy may escape to infinity. This talk will concentrate on the case in which the underlying classical dynamical system has strongly chaotic behavior. Examples include scattering by several convex obstacles (where resonances can be observed experimentally) and hyperbolic surfaces (where resonances are related to zeroes of the Selberg zeta function).

The speaker will explain how microlocal analysis, which is a mathematical theory behind the classical/quantum correspondence, relates the distribution of resonances at high frequency to the structure of the set of trapped trajectories of the underlying classical system.

About the speaker

Prof Semyon Dyatlov received his PhD in Mathematics from the University of California at Berkeley in 2013. He then joined the Massachusetts Institute of Technology (MIT) as a Clay Research Fellow and is currently an Assistant Professor of Mathematics in MIT.

Prof Dyatlov’s research interests include scattering theory, microlocal analysis, quantum chaos, dynamical systems, and general relativity.

The colloquium is free and open to all. Seating is on a first come, first served basis.

HKUST Jockey Club Institute for Advanced Study
Enquiries: ias@ust.hk / 2358 5912
http://ias.ust.hk