# Proper affine actions of right angled Coxeter groups

 Geometric Structures on 3-manifolds Topic: Proper affine actions of right angled Coxeter groups Speaker: Jeffrey Danciger Affiliation: University of Texas, Austin Date: Tuesday, March 8 Time/Room: 2:00pm - 3:00pm/S-101 Video Link: https://video.ias.edu/geostruct/2016/0308-Danciger

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.