Title	Calabi-Yau categories from Gorenstein algebras
Creator	Pressland, Matthew
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-11-02T11:02
Description	Let $(Q,W)$ be a quiver with potential having finite-dimensional Jacobian algebra. I will construct from $(Q,W)$ a new algebra, which will be Gorenstein with 2-Calabi-Yau singularity category whenever it is Noetherian, this singularity category being conjecturally equivalent to Amiot's cluster category of $(Q,W)$. Both the Noetherianity and the equivalence are proved to hold when $Q$ is acyclic. The construction appears to be related to the Ginzburg dg-algebra of $(Q,W)$, and I will discuss both precise and conjectural connections to this dg-algebra. Time permitting, I will also discuss results in other Calabi-Yau dimensions.
Extent	48.0
Subject	Mathematics; Algebraic geometry; Associative rings and algebras; Representation theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Universität Stuttgart
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-05-02
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0378563
URI	http://hdl.handle.net/2429/70040
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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