Wave decay on asymptotically flat spacetimes
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 R^3; second, a strengthening of Price’s Law on Kerr spacetimes.