Title	Graded Betti numbers of balanced simplicial complexes
Creator	Juhnke-Kubitzke, Martina
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-06-28T16:45
Description	A $(d-1)$-dimensional simplicial complex is called balanced, if its $1$-skeleton is $d$-colorable. In this talk, I will discuss upper bounds for the graded Betti numbers of the Stanley-Reisner rings of this class of simplicial complexes. Our results include both, bounds for the Cohen-Macaulay case and for the general situation. Previously, upper bounds have been shown by Migliore and Nagel, and Murai for simplicial polytopes, Cohen-Macaulay complexes and normal pseudomanifolds. If time permits, I will also mention, what can be said for balanced normal pseudomanifolds. This is joint work with Lorenzo Venturello.
Extent	23.0
Subject	Mathematics; Commutative rings and algebras; Algebraic geometry; Algebraic structures
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Osnabrück
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-03-23
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0377348
URI	http://hdl.handle.net/2429/69106
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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