Title: Stability of perturbed wave equations on Kerr black hole spacetimesAbstract: I will discuss a recent work with Gustav Holzegel, in which we prove integrated decay bounds for solutions of the geometric wave equation with small linear perturbations on Kerr black hole spacetimes.Our proof adapts the framework introduced by Dafermos, Rodnianski, and Shlapentokh-Rothman for the homogeneous wave […]
Title: Introduction to the trace formula.Abstract: This will be an introductory lecture to a very informal learning seminar that will run this semester. Topics will vary, but many of the talks will be related to the trace formula, which is one of the most important tools in the theory of automorphic representations. I will start […]