CAT(0) cube complexes and virtually special groups

Geometric Structures on 3-manifolds
Topic:CAT(0) cube complexes and virtually special groups
Speaker:Daniel Groves
Affiliation:University of Illinois, Chicago
Date:Tuesday, October 27
Time/Room:2:00pm - 3:00pm/S-101
Video Link:https://video.ias.edu/gsm/2015/1027-Groves1

Sageev associated to a codimension 1 subgroup $H$ of a group $G$ a cube complex on which $G$ acts by isometries, and proved this cube complex is always CAT(0). Haglund and Wise developed a theory of special cube complexes, whose fundamental groups have many favorable properties. In this talk, the basics of this theory will be described, along with applications.