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Geometry-Topology Seminar

Thursday, October 1, 2009 - 4:30pm

Chris Atkinson

Temple University

Location

University of Pennsylvania

DRL 4C8

I will first show how to obtain two-sided volume bounds for equiangular hyperbolic Coxeter polyhedra in terms of the combinatorics of the 1-skeleton. As an application of these estimates, I'll explain how they can be used along with ideas which contribute to the proof of the Orbifold Theorem to give a lower bound on the volume of an arbitrary hyperbolic Coxeter polyhedron.