Olga Aryasova (Inst. of Geophysics, Nat. Acad. of Sciences of Ukraine / Friedrich–Schiller–Univ. Jena)
Alexander Strohmaier (Leeds)
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.
(joint work with S. Zelditch)
Access data at:https://moodle2.uni-potsdam.de/course/view.php?id=24418