Title	Persistence and noncommutative geometry
Creator	Vaccarino, Francesco
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-08-04T10:38
Description	Motivated by the attempt to build on the top of reasonable data ( e.g. weighted networks) so-called BF-theories (a kind of topological quantum field theories), we will extend the usual approach of multidimensional persistent (co-)homology by considering diagrams of incidence algebras of finite posets. By using results of Gerstenhaber et al. we will show what is the link between diagram cohomology, Hochschild cohomology, and multidimensional persistence connecting seemingly uncorrelated research areas as topological data analysis and topological quantum field theory.
Extent	37 minutes
Subject	Mathematics; Algebraic topology; Probability theory and stochastic processes; Data mining
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Politecnico di Torino
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2018-02-01
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0363346
URI	http://hdl.handle.net/2429/64519
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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