Which random groups are cubulated
John Mackay (University of Bristol)
MSRI: Simons Auditorium
In Gromov's density model for random groups at low densities groups can be cubulated (Ollivier-Wise) whereas at higher densities the groups have Property (T) (Zuk, Kotowski-Kotowski), but there's a gap where things are unclear. I'll discuss two results, with Piotr Przytycki and Cornelia Drutu respectively, about this problem.