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Friday, May 03, 2019
4:00 PM - 5:00 PM
Linde Hall 187

Geometry and Topology Seminar

Renormalized volume of hyperbolic 3-manifolds
Kenneth Bromberg, Department of Mathematics, University of Utah,

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.

For more information, please contact Math Department by phone at 626-395-4335 or by email at mathinfo@caltech.edu.