Late-Time Tails of Linear and Nonlinear Waves

Explore advanced mathematical physics in this conference talk that presents groundbreaking research on the precise late-time asymptotic behavior of solutions to linear and nonlinear wave equations in odd spatial dimensions. Learn about a general method developed in collaboration with Sung-Jin Oh from Berkeley that reveals how late-time tails differ significantly from the well-understood case of linear equations on stationary backgrounds when nonlinearities and dynamical backgrounds are present. Discover the fascinating connections between late-time tails and the singularity structure problem in the interior of generic dynamical vacuum black holes in general relativity. Gain insights into cutting-edge mathematical techniques for analyzing wave propagation and understand how this research contributes to our understanding of both mathematical wave theory and gravitational physics, presented by Jonathan Luk from Stanford University at the Institut des Hautes Etudes Scientifiques.