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]
01-11 - Research data for problems pertaining to history and biography
55R35 - Classifying spaces of groups and $H$H-spaces in algebraic topology
20C05 - Group rings of finite groups and their modules (group-theoretic aspects) [See also 16S34]
20Jxx - Connections of group theory with homological algebra and category theory
00A35 - Methodology of mathematics {For mathematics education, see 97-XX}
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.
|
Mackay.notes
|
Download |
14621
| H.264 Video |
14621.mp4
|
Download |
Please report video problems to itsupport@slmath.org.
See more of our Streaming videos on our main VMath Videos page.