SEARCH Events Event Title: OR Speaker Last Name:    OR Year: (yyyy)

Mathematics Colloquium EVENT DETAIL Date:  Tuesday, March 13, 2012 Title:  Curvature and the Spectrum of the Laplacian Abstract:  Let M be a complete Riemannian manifold. The Laplace operator of M is a canonical self adjoint operator defined on square integrable functions. There have been numerous works relating the geometry of M to the spectral theory of the associated Laplacian. The lecture will be focused primarily upon the existence or absence of square integrable eigenfunctions on noncompact manifolds. We will survey various results in both the positively and negatively curved cases. Speaker:  Harold Donnelly Institution:  Purdue University   Back to current Colloquium List Back to UM Math seminars page .