Which random groups are cubulated
Groups acting on CAT(0) spaces September 27, 2016 - September 30, 2016
Location: MSRI: Simons Auditorium
Kazhdan's property T
geometric group theory
expander graph
representation theory and algebraic geometry
CAT(0) space
Riemannian geometry
discrete isoperimetric inequality
57-XX - Manifolds and cell complexes {For complex manifolds, see 32Qxx}
58D05 - Groups of diffeomorphisms and homeomorphisms as manifolds [See also 22E65, 57S05]
20F65 - Geometric group theory [See also 05C25, 20E08, 57Mxx]
20F70 - Algebraic geometry over groups; equations over groups
20F55 - Reflection and Coxeter groups [See also 22E40, 51F15]
14621
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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14621
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