Title	Asymptotic syzygies of Stanley-Reisner rings of iterated subdivisions
Creator	Juhnke-Kubitzke, Martina
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-04-05T16:33
Description	Inspired by results of Ein, Lazarsfeld, Erman, and Zhou on the non-vanishing of Betti numbers of high Veronese subrings, we describe the behaviour of the Betti numbers of Stanley-Reisner rings associated with iterated barycentric or edgewise subdivisions of a given simplicial complex. Our results show that for a simplicial complex \(\Delta\) of dimension \(d-1\) and for \(1 \leq j \leq d-1\) the number of \(0\)'s in the \(j\)-th linear strand of the minimal free resolution of the \(r\)-th barycentric or edgewise subdivision is bounded above only in terms of \(d\) and \(j\) (and independently of \(r\)). This is joint work with Aldo Conca and Volkmar Welker.
Extent	48 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 Osnabrück
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	10.14288/1.0319015
URI	http://hdl.handle.net/2429/59379
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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Asymptotic syzygies of Stanley-Reisner rings of iterated subdivisions Juhnke-Kubitzke, Martina

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