Alexander Strohmaier - Microlocal and Global An...
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Alexander Strohmaier - Microlocal and Global Analysis, Interactions with Geometry
A trace formula for stationary spacetimes.
Stationary spacetimes are spacetimes that admit a global timelike Killing vector-eld. I will explain
aspects of spectral theory on stationary spacetimes, thus generalising spectral theory of the Laplace operator on
Riemannian manifolds. I will then present a trace formula analogous to the Gutzwiller-Duistermaat-Guillemin trace
formula. The classical geometric object underlying the singularity trace expansion is the contact manifold of light
like geodesics. (Joint work with S. Zelditch.)