The Analysis and PDE Seminar will take place on Monday, February 8, 2016, from 4:10-5:00 pm in Evans Hall, room 891.

Speaker: Boris Hanin (MIT)

Title: 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.

See you all there!