For compact Riemannian manifolds the Gutzwiller-Duistermaat-Guillemin trace formula is one of the standard tools to show Weyl laws, investigate questions of quantum chaos, and prove inverse spectral problems. In this talk I am going to present a generalisation to the setting of stationary
spacetimes with compact Cauchy surfaces. I will start by explaining the classical theory and then point out some differences in the more general relativistic setting. This is joint work with Steve Zelditch.
This talk is part of series of talks affiliated with the virtual Mittag-Leffler workshop "Scattering, microlocal analysis and renormalization", organized by Claudio Dappiaggi, Jacob Schach Møller and Michal Wrochna. The full schedule can be found at:
