Title	h-vectors and the number of generators of fundamental groups
Creator	Murai, Satoshi
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-06-29T10:15
Description	Hochster's results tell that homology groups of a simplicial complex have a nice relation to algebraic properties of its Stanley-Reisner ring. On the other hand, it is unknown that how fundamental groups affect to Stanley-Reisner rings. In this talk, we present lower bounds of the second h-number of simplicial complexes in terms of the number of generators of fundamental groups. Our proof is based on recent results about PL Morse inequality and graded Betti numbers.
Extent	70.0
Subject	Mathematics; Commutative rings and algebras; Algebraic geometry; Algebraic structures
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Osaka University
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	10.14288/1.0377351
URI	http://hdl.handle.net/2429/69109
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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