Title	Exact quantitative Helly theorems.
Creator	Soberón, Pablo
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-10-08T15:15
Description	We will discuss several quantitative Helly theorems, where we characterize families of convex sets whose intersection has a large volume or diameter. The Helly numbers we obtain depend on the complexity of a witness set that guarantees that the intersection is large. For example, our Helly numbers characterize families of convex sets that contain ellipsoids with large volume, or zonotopes with large diameter. The methods we describe work for a wide family of functions and witness sets. We will describe which results can be proven with purely geometric methods and which ones require a bit of topology.
Extent	45.0 minutes
Subject	Mathematics; Geometry; Convex and discrete geometry; Discrete mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Baruch College
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2020-04-06
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0389743
URI	http://hdl.handle.net/2429/73914
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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