Geometric Structures on 3-manifolds

Proper affine actions of right angled Coxeter groups

We prove that any right-angled Coxeter group on $k$ generators admits a proper action by affine transformations on $\mathbb R^{k(k-1)/2}$. As a corollary, many interesting groups admit proper affine actions including surface groups, hyperbolic three-manifold groups, and Gromov hyperbolic groups of arbitrarily large virtual cohomological dimension. Joint work with Francois Gueritaud and Fanny Kassel.

Date & Time

March 08, 2016 | 2:00pm – 3:00pm

Location

S-101

Speakers

Jeffrey Danciger

Affiliation

University of Texas, Austin

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