A new cubulation theorem for hyperbolic groups

Geometric Structures on 3-manifolds
Topic:A new cubulation theorem for hyperbolic groups
Speaker:Daniel Groves
Affiliation:University of Illinois, Chicago
Date:Tuesday, October 27
Time/Room:4:00pm - 5:00pm/S-101
Video Link:https://video.ias.edu/gsm/2015/1027-Groves2

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.