Abstract: The asymptotic analysis of the spectrum of the Laplacian (and other elliptic operators) on compact Riemannian manifolds is a classical theme which goes back to Weyl and on which many results are known. The non-compact case is more subtle. I will describe old and recent results for certain locally symmetric spaces. The main tool is the Arthur-Selberg trace formula. My own contribution is joint work with Tobias Finis and Werner Muller.

Coffee will be served at 12:00 before the lecture
at Schreiber building 006