## Geometry, Topology and Dynamics Seminar

Boris Hanin

Texas A&M

Scaling Limit of Spectral Projector for the Laplacian on a Compact Riemannian Manifold

**Abstract:**Let (M,g) be a compact smooth Riemannian manifold. I will give some new off-diagonal estimates for the remainder in the pointwise Weyl Law. A corollary is that, when rescaled around a non self-focal point, the kernel of the spectral projector of the Laplacian onto the frequency interval (lambda,lambda+1] has a universal scaling limit as lambda goes to infinity (depending only on the dimension of M). This is joint work with Y. Canzani.

Monday April 2, 2018 at 3:00 PM in SEO 636