In this talk, we will establish a curvature-free relation between the systole and the entropy of a surface. More precisely, we will compare the length of the shortest noncontractible loop on a Riemannian surface to the exponential growth of the volume of balls in the universal cover.
Geometry-Topology Reading Seminar
Tuesday, April 19, 2005 - 10:45am
Stephane Sabourau
University of Pennsylvania