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Geometric Realization of Coxeter Groups

Student-Run Geometry/Topology Seminar

Speaker: Yvonne Lai, UC Davis
Location: 2112 MSB
Start time: Thu, Feb 15 2007, 1:10PM

We understand geometric reflection groups through their actions on constant curvature spaces. But given any Coxeter group W, is there a space on which W acts nicely? Yes: the Davis-Moussong complex. We will construct the complex in this talk and sketch why it is CAT(0).