Title	The syzygies of some thickenings of determinantal varieties
Creator	Raicu, Claudiu
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-04-05T15:30
Description	The space of \(m \times n\) matrices admits a natural action of the group \(GL_m \times GL_n\) via row and column operations on the matrix entries. The invariant closed subsets are the determinantal varieties defined by the (reduced) ideals of minors of the generic matrix. The minimal free resolutions of these ideals are well-understood by work of Lascoux and others. There are however many more invariant ideals which are non-reduced, and they were classified by De Concini, Eisenbud and Procesi in the 80s. I will explain how to determine the syzygies of a large class of these ideals by employing a surprising connection with the representation theory of general linear Lie superalgebras. This is joint work with Jerzy Weyman.
Extent	56 minutes
Subject	Mathematics; Commutative rings and algebras; Category theory; homological algebra; Commutative algebra
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Notre Dame
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2016-10-05
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0319014
URI	http://hdl.handle.net/2429/59378
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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The syzygies of some thickenings of determinantal varieties Raicu, Claudiu

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