Title	Toric degenerations of Grassmannians via plabic graphs
Creator	Lanini, Martina
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-02-09T16:44
Description	Introduced by Postnikov in 2006, plabic graphs are certain planar bicolored graphs embedded in a circle which played a central role in Rietsch and Williams' recent work on mirror symmetry for Grassmannians. Inspired by their construction, we use plabic graphs to define weight vectors and show that in the cases of Gr(2,n) and Gr(3,6) these vectors lie in the tropical Grassmannian. Moreover, we provide an explicit bijection between toric degenerations of Gr(2,n) arising from maximal cones in the tropical Grassmannian and the ones coming from plabic graphs. This is joint work with L. Bossinger, X. Fang, G.Fourier, and M. Hering.
Extent	64.0
Subject	Mathematics; Algebraic geometry; Differential geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Università degli Studi di Roma Tor Vergata
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-03-09
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0376701
URI	http://hdl.handle.net/2429/68554
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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