# 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.