Simon Marshall : L^p norms of arithmetic eigenfunctions
Let M be a compact Riemannian manifold, and f an L^2 normalised Laplace eigenfunction on M. A popular question in semiclassical analysis is how well one can bound the other L^p norms of f, or its restriction to a submanifold. I will give an introduction to this problem, and describe how one can make progress on it using the additional assumptions that M is arithmetic and f is a Hecke-Maass form.
- Category: Number Theory
- Duration: 01:19:53
- Date: March 26, 2014 at 1:55 PM
- Tags: seminar, UNC-Duke Number Theory Seminar Seminar