MATH Seminar

Title: Radiation Fields for Wave Equations
Colloquium: Analysis and Differential Geometry
Speaker: Dean Baskin of TAMU
Contact: David Borthwick, dborthw@emory.edu
Date: 2019-02-07 at 4:00PM
Venue: MSC W303
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Abstract: Radiation fields are rescaled limits of solutions of wave equations that 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. I will assume no prior familiarity with PDEs.