Spectral theory on stationary spacetimes
Alexander Strohmaier (University of Leeds)
Abstract: 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 Steve Zelditch)
high energy physicsmathematical physicsanalysis of PDEsspectral theory
Audience: researchers in the topic
Scattering, microlocal analysis and renormalisation
Series comments: Mondays: aarhusuniversity.zoom.us/j/9036772485 Meeting ID: 903 677 2485
Thursdays: us02web.zoom.us/j/6094800950 Meeting ID: 609 480 0950
Please e-mail the organizers for the password meeting. Please keep in mind that the schedule on researchseminars.org might refer to your local time zone.
Links to the slides can be found here: drive.google.com/file/d/1uu6ZvU6zlGalJpZR7ZDi7igsvBMBylOA/view
Organizers: | Claudio Dappiaggi, Jacob Schach Møller, Michał Wrochna* |
*contact for this listing |