|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