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Calabi-Yau categories from Gorenstein algebras Pressland, Matthew Nov 2, 2018

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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
Geographic Location Oaxaca (Mexico : State)
Type Moving Image
FileFormat video/mp4
Language eng
Notes Author affiliation: Universität Stuttgart
Series BIRS Workshop Lecture Videos (Oaxaca (Mexico : State))
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/
AggregatedSourceRepository DSpace

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