Title	An application of the probabilistic method to Tverberg's theorem.
Creator	Soberón, Pablo
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-10-26T09:00
Description	We show how the probabilistic method can be applied to obtain robust versions of this Tverberg's theorem. In particular, given positive integers $r, d, t$, we study the number of points needed in $\mathbb{R}^d$ to guarantee the existence of a partition of them into r parts such that, even after any t points are removed, the convex hulls of what is left in each part have non-empty intersection.
Extent	44 minutes
Subject	Mathematics; Convex and discrete geometry; Algebraic topology; Combinatorics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Northeastern University
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-06-07
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0348143
URI	http://hdl.handle.net/2429/61865
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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