Symmetric Polytopes: A Combinatorial Viewpoint

Friday, March 1, 2013 at 1:00pm to 1:45pm

Bronfman Science Center, 106 18 Hoxsey St, Williamstown, MA 01267, USA

Symmetric Polytopes:  A Combinatorial ViewpointProf. Mark Mixer
Mathematics and Statistics Department Faculty Seminar

Abstract: Polytopes often have interesting topological and geometric properties. However, they can also be studied from a purely combinatorial point of view. In this talk, I will describe polytopes in this way, as vertex colored directed graphs with certain defining properties. Furthermore, from each such polytope P we can define an edge-colored undirected graph F(G) with interesting algebraic properties. I will discuss how the group theory associated with F(G) can be used in an ongoing research problem about minimal regular covers of abstract polytopes.

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Mathematics & Statistics

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