The 2018 DiPerna Lecture was given by Wilhelm Schlag (University of Chicago) on January 25, 2018, 4PM in 60 Evans Hall:
On the long-term dynamics of nonlinear dispersive evolution equations
Abstract: We will give an overview of some of the developments in recent years dealing with the description of asymptotic states of solutions to semilinear evolution equations ("soliton resolution conjecture"). New results will be presented on damped subcritical Klein-Gordon equations, jointly with Nicolas Burq and Genevieve Raugel.