Title	Stable resolutions of multi-persistent modules
Creator	Berkouk, Nicolas
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-08-01T10:37
Description	Multi-graded betti numbers, one of the only invariant we have to study multi-modules, are highly not stable with respect to the interleaving distance. However, they arise from the existence of free minimal resolutions and we propose to show how we can equip the derived category of persistent modules (the one in which resolutions « naturally » live) with a derived distance to make those resolutions stable. As a byproduct, we get the non-existence of a right (or left) exact functor from the category of modules to the one that decomposes in thin summands.
Extent	36 minutes
Subject	Mathematics; Algebraic topology; Probability theory and stochastic processes; Data mining
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: INRIA Saclay
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2018-01-29
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0363284
URI	http://hdl.handle.net/2429/64481
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Graduate
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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