Title	Følner sets in topological groups
Creator	Schneider, Friedrich Martin
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-06-15T10:31
Description	Generalizing classical work of Day and Følner for discrete groups, I will present characterizations of amenability of (not necessarily locally compact) topological groups in terms of the existence of almost invariant vectors and almost invariant finite subsets, and discuss some applications of these results, e.g., concerning the coarse geometry of Polish groups. This is joint work with Andreas Thom. Furthermore, linked with concentration of measure, the mentioned amenability criteria provide sufficient conditions for (a strong form of) extreme amenability, which can be used to prove the extreme amenability of topological groups of measurable maps. This is joint work with Vladimir Pestov.
Extent	54 minutes
Subject	Mathematics; Topological groups, lie groups; Abstract harmonic analysis
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Technische Universitat Dresden
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-12-13
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0361975
URI	http://hdl.handle.net/2429/63962
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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Følner sets in topological groups Schneider, Friedrich Martin

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