Title	Tate-Hochschild cohomology, the singularity category and applications
Creator	Keller, Bernhard
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-09-02T09:01
Description	Following work of Buchweitz, one defines Tate-Hochschild cohomology of an algebra A to be the Yoneda algebra of the identity bimodule in the singularity category of bimodules. We show that Tate-Hochschild cohomology is canonically isomorphic to the ordinary Hochschild cohomology of the singularity category of A (with its canonical dg enrichment). In joint work with Zheng Hua, we apply this to prove a weakened version of a conjecture by Donovan-Wemyss which states that a complete isolated cDV singularity is determined by the derived equivalence class of the contraction algebra associated with a resolution.
Extent	53.0 minutes
Subject	Mathematics; Associative rings and algebras; Algebraic geometry; Representation theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University Paris Diderot - Paris 7
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2020-03-01
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0388807
URI	http://hdl.handle.net/2429/73634
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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