May 6, 2025
Title: Propagation of waves with low regularity
Speaker: Jared Wunsch (Northwestern University)
The connection between solutions to wave equations and dynamics of particles, known variously in different contexts as the method of geometric optics, the WKB approximation, and Bohr's Correspondence Principle, becomes tenuous in the presence of singularities of the physical potential or underlying geometry. I will describe what we know about diffractive corrections to wave equation solutions, as well as some of their consequences in spectral and scattering theory.