Proper affine actions of right angled Coxeter groups - Jeffery Danciger

Geometric Structures on 3-manifolds
Topic: Proper affine actions of right angled Coxeter groups
Speaker: Jeffrey Danciger
Date: Tuesday, March 8

We prove that any right-angled Coxeter group on kk generators admits a proper action by affine transformations on ℝk(k−1)/2Rk(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.