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Invitations to Mathematics - Michael Davis

Mike Davis
November 10, 2021
4:10 pm - 5:40 pm
Journalism (JR) 270

Title: The geometry and topology of reflection groups

Speaker: Michael Davis

Abstract: A Coxeter group could be called an "abstract reflection group."  There are two methods of realizing an abstract reflection group W as a group of symmetries of a geometric object.  The first, due to Tits, is as a group generated by reflections on an open cone in some vector space.  The second, due to Davis and Moussong, is as a group generated by isometric reflections on a certain cell complex (where a "cell" is a convex polytope in some Euclidean space). In both cases the underlying topological space is contractible.

 

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