Title	Pseudofinite groups, arithmetic regularity, and additive combinatorics
Creator	Conant, Gabriel
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-10-18T12:31
Description	I will report on joint work with Pillay and Terry on arithmetic regularity (a group theoretic analogue of Szemeredi regularity for graphs) for sets of bounded VC-dimension in finite groups, which is proved using a local version generic compact domination for NIP formulas in pseudofinite groups. I will then present more recent work on nonabelian versions of certain "inverse theorems" from additive combinatorics, which are proved using pseudofinite model theory, and can be used to give alternate proofs of NIP arithmetic regularity for certain classes of finite groups.
Extent	41.0
Subject	Mathematics; Mathematical logic and foundations; Combinatorics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Notre Dame
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-04-17
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0378259
URI	http://hdl.handle.net/2429/69731
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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