Wave decay on asymptotically flat spacetimes

Abstract: The focus of this talk is the study of asymptotic expansions of linear waves propagating on stationary and asymptotically flat spacetimes. On the spectral side, I will describe a hands-on approach to resolvent expansions near zero energy based on recent work by Vasy. I will discuss two main applications: first, sharp decay for scattering by short range potentials on $\mathbb{R}^3$; second, a strengthening of Price's Law on Kerr spacetimes.

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