Analysis Seminar

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: sharp decay for scattering by short range potentials on R^3, and a strengthening of Price's Law on Kerr spacetimes.