Title	Recent progress on random groups
Creator	Kahle, Matthew
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2013-08-05
Description	In this talk I will discuss recent work by Hoffman, Paquette, and myself, where we find a sharp threshold for the fundamental group of random 2-complexes to have Kazhdan’s property (T). Our result de- pends on a spectral gap criterion due to Zuk, but we also require new concentration results for spectral gaps of Erdos-Renyi random graphs. I will also put this work in the context of other work on random fundamen- tal groups (hyperbolicity, cohomological dimension, etc.), and compare what is know for this model with what is known for Gromov’s density model and Zuk’s triangular model.
Extent	45 minutes
Subject	Mathematics; Differential geometry; Manifolds and cell complexes
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Ohio State University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2014-08-06
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivs 2.5 Canada
DOI	10.14288/1.0043471
URI	http://hdl.handle.net/2429/49417
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/2.5/ca/
Aggregated Source Repository	DSpace

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