Which random groups are cubulated
Location: MSRI: Simons Auditorium
Kazhdan's property T
geometric group theory
representation theory and algebraic geometry
discrete isoperimetric inequality
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.
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