Geometry and Topology Seminar
Renormalized volume is a way of assigning a finite volume to a hyperbolic 3-manifold that has infinite volume in the usual sense. While the definition was motivated by ideas from physics, it has a number of interesting properties that make it a natural quantity to study from a purely mathematical perspective. I will begin with some basic background on renormalized volume and then describe how it can be used to give bounds on the volume of convex cores of convex co-compact hyperbolic 3-manifolds. This is joint work with M. Bridgeman and J. Brock.