Title	On a scissors congruence phenomenon for some polytopes
Creator	Ramirez Alfonsin, Jorge
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-10-07T12:00
Description	The scissors congruence conjecture for the unimodular group is an analogue of Hilberts third problem, for the equidecomposability of polytopes. In this talk, we present a proof of this conjecture for polytopes naturally associated to graphs whose vertices have degree one or three. The key ingredient in the proof is the nearest neighbor interchange on graphs and a naturally arising piecewise unimodular transformation. We also discuss some Ehrhart quasi-polynomials results for this class of polytopes (joint work with C.G. Fernandes, J.C. de Pina and S. Robins).
Extent	23.0 minutes
Subject	Mathematics; Geometry; Convex and discrete geometry; Discrete mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Universite de Montpellier
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2021-01-13
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0395563
URI	http://hdl.handle.net/2429/77061
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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