Maciej Zworski

Abstract:   Quantum resonances describe states which have positive rates of decay. For instance most of chemical reactions proceed via metastable states corresponding to (often many) quantum resonances. In pure maths, the zeros of the Riemann zeta functions are the quantum resonances for the Laplacian on the modular surface.

The talk will describe the general motivation and mathematical modeling of quantum resonances. It will then focus on be the recent theoretical and numerical advances in the understanding of fractal Weyl laws for resonances of classically chaotic systems.