2:00 pm Monday, October 10, 2016
Topology Seminar: Hyperbolic Coxeter n-cubes by Matthieu Jacquemet (Vanderbilt University) in RLM 12.166
Unlike their spherical and Euclidean counterparts, hyperbolic Coxeter polyhedra are far from being classified. In fact, full classifications are available only for polyhedra with few facets (simplices, simplicial prisms, pyramids, etc.). This lack of examples makes the study of general questions involving such polyhedra and the related reflection groups more difficult. This is especially unfortunate since hyperbolic Coxeter polyhedra are, in the known cases, related to small volume hyperbolic orbifolds. In this talk, we shall first outline classification results for hyperbolic Coxeter polyhedra, and then provide the recently established classification of hyperbolic Coxeter n-cubes. The methods used in this context are essentially of combinatorial and algebraic nature. This is partially a joint work with Steve Tschantz. Submitted by
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