Hypertrees

Linial, Nathan

doi:10.14288/1.0369722

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Hypertrees Linial, Nathan Feb 7, 2018

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Title	Hypertrees
Creator	Linial, Nathan
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-02-07T09:06
Description	In a seminal paper Kalai (1983) extended the notion of a tree to higher dimensions. Formally, an n-vertex d-dimensional hypertee is a Q-acyclic simplicial complex with a full (d-1) dimensional skeleton and {n-1 \choose d} d-dimensional faces. We will use instead an equivalent intuitive definition that relies only on elementary linear algebra. In this talk I will try to give a flavor of these exciting concepts. I will discuss several of the many open problems that arise here and describe some of our new discoveries. My coauthors in the relevant papers are: R. Meshulam, Y. Peled, M. Rosenthal, I. Newman and Y. Rabinovich.
Extent	68 minutes
Subject	Mathematics Convex and discrete geometry Combinatorics
Geographic Location	Banff (Alta.)
Type	Moving Image
FileFormat	video/mp4
Language	eng
Notes	Author affiliation: Hebrew University of Jerusalem
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2018-08-07
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0369722
URI	http://hdl.handle.net/2429/66678
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
AggregatedSourceRepository	DSpace

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Media: 48630-201802070906-Linial_lrv.mp4 [ 298.72MB ]
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