Title	Twisted Calabi-Yau and Artin-Schelter regularity properties for locally finite algebras
Creator	Reyes, Manuel
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-09-15T14:30
Description	It is known that a connected graded algebra is Artin-Schelter (AS) regular if and only if it is twisted Calabi-Yau (CY). While AS regular algebras are necessarily connected, a twisted CY algebra need not be. Thus we ask: for algebras that are graded but not necessarily connected, is the twisted CY property equivalent to a suitable analogue of the AS regular property? We give a positive answer, using generalized AS regular properties inspired by the work of Martinez-Villa, Minamoto, and Mori. We will also describe the structure and properties of graded twisted CY algebras in very low dimension (at most 2). This is a preliminary report on joint work with Daniel Rogalski.
Extent	30 minutes
Subject	Mathematics; Associative rings and algebras; Algebraic geometry; Algebraic structures
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Bowdoin College
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-03-17
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0343253
URI	http://hdl.handle.net/2429/60933
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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Twisted Calabi-Yau and Artin-Schelter regularity properties for locally finite algebras Reyes, Manuel

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