Alex Strohmaier (University of Leeds)

Relative trace formulas and wave-trace singularities

Abstract:

I will give an overview of recent results on trace-formulas in obstacle scattering and their relation to microlocal analysis. In particular, I will explain how the Casimir energy in physics is linked to the spectral shift function and the Duistermaat-Guillemin trace formula. This is based on joint work with F. Hanisch, A. Waters and Y.L. Fang.