Title	Matroids and exterior algebras in tropical algebra
Creator	Giansiracusa, Jeffrey
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-05-04T16:31
Description	Classically, the exterior algebra provides an elegant description of the Plucker embedding. In this talk I will present an analogue of this picture for matroids (and valuated matroids). Matroids can be thought of as objects defined over the boolean idempotent semiring B={0,1}. We define a tropical analogue of exterior algebra for any quotient the free module B^n, and we show that a d-multivector w is a matroid if and only if the quotient of B^n that is dual to the kernel of wedging with w has d-th wedge power free of rank 1.
Extent	56 minutes
Subject	Mathematics; Algebraic geometry; Combinatorics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Swansea University
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-02-08
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0320895
URI	http://hdl.handle.net/2429/59642
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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