Date and Time: April 30, 4pm - 5pm
Venue: Ramanujan Hall
Speaker: Mayukh Mukherjee
Affiliation: IITB
Title: Spectra of negatively curved Riemannian manifolds
Abstract: We discuss various issues surrounding the spectra of complete Riemannian manifolds (and sometimes orbifolds) of non-positive curvature. These include, among other topics, absolute and (absence of) singularly continuous spectra, small eigenvalues and eigenfunction decay. This describes previous (and ongoing) joint work with Ballmann and Polymerakis.