Paris/Berkeley/Bonn/Zürich Analysis Seminar: Radiation fields for wave equations on asymptotically Minkowski spacetimes

Seminar | December 5 | 9:10-10 a.m. | 238 Sutardja Dai Hall

 Dean Baskin, Texas A&M University and MSRI

 Department of Mathematics

Abstract: Radiation fields are rescaled limits of solutions of wave equations near "null infinity" and capture the radiation pattern seen by a distant observer. They are intimately connected with the Fourier and Radon transforms and with scattering theory. In this talk, I will define and discuss radiation fields in a few contexts, with an emphasis on spacetimes that look flat near infinity. The main result is a connection between the asymptotic behavior of the radiation field and a family of quantum objects on an associated asymptotically hyperbolic space. This talk is based on joint work with András Vasy and Jared Wunsch as well as with Jeremy Marzuola.