|Geometric Structures on 3-manifolds|
|Topic:||A new cubulation theorem for hyperbolic groups|
|Affiliation:||University of Illinois, Chicago|
|Date:||Tuesday, October 27|
|Time/Room:||4:00pm - 5:00pm/S-101|
We prove that if a hyperbolic group $G$ acts cocompactly on a CAT(0) cube complexes and the cell stabilizers are quasiconvex and virtually special, then $G$ is virtually special. This generalizes Agol's Theorem (the case when the action is proper) and Wise's Quasiconvex Hierarchy Theorem (the case when the cube complex is a tree). This is joint work in preparation with Jason Manning.