Geometry, Topology and Dynamics Seminar
Ian Biringer
University of Chicago
Geometry and rank of closed hyperbolic 3-manifolds.
Abstract: We will discuss how the geometry of a closed hyperbolic 3-manifold is influenced by the rank (minimal number of generators) of its fundamental group. In particular, we will describe a decomposition of manifolds with bounded rank and injectivity radius, see connections with the first eigenvalue of the Laplacian, and derive a finiteness theorem for certain commensurability classes of arithmetic Kleinian groups.
Monday October 20, 2008 at 3:00 PM in SEO 612