Spectral theory on stationary spacetimes

Alexander Strohmaier (University of Leeds)

08-Jun-2020, 15:00-15:50 (4 years ago)

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

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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

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