Which random groups are cubulated
Groups acting on CAT(0) spaces September 27, 2016  September 30, 2016
Location: SLMath: Eisenbud Auditorium
Kazhdan's property T
geometric group theory
expander graph
representation theory and algebraic geometry
CAT(0) space
Riemannian geometry
discrete isoperimetric inequality
54C40  Algebraic properties of function spaces in general topology [See also 46Exx]
0111  Research data for problems pertaining to history and biography
55R35  Classifying spaces of groups and $H$Hspaces in algebraic topology
20C05  Group rings of finite groups and their modules (grouptheoretic aspects) [See also 16S34]
20Jxx  Connections of group theory with homological algebra and category theory
00A35  Methodology of mathematics {For mathematics education, see 97XX}
14621
In Gromov's density model for random groups at low densities groups can be cubulated (OllivierWise) whereas at higher densities the groups have Property (T) (Zuk, KotowskiKotowski), but there's a gap where things are unclear. I'll discuss two results, with Piotr Przytycki and Cornelia Drutu respectively, about this problem.
Mackay.notes

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