Title	Banach representations of dynamical systems and model theory
Creator	Tsankov, Todor
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2015-11-10T11:07
Description	It is well-known that the automorphism group of an omega-categorical structure encodes all model-theoretic information about the structure. Recently, an interesting correspondence has been discovered between properties of the theory (stability, omega-stability, NIP) and classes of Banach spaces on which certain dynamical systems (the automorphism group acting on type spaces over the model) can be represented. In the stable case, those dynamical systems also carry the structure of a semigroup that can be exploited. I will discuss what is known about this correspondence as well as some open questions. This is joint work with Itaï Ben Yaacov and Tomás Ibarlucía.
Extent	63 minutes
Subject	Mathematics; Combinatorics; Dynamical systems and ergodic theory; Logic and foundations
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Université Paris 7
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2016-05-11
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0300499
URI	http://hdl.handle.net/2429/58117
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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