Title	Symplectic Gelfand-Zetlin polytopes and Schubert calculus
Creator	Kiritchenko, Valentina
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-05-12T09:30
Description	Chow rings of smooth projective toric varieties admit a convenient functorial description in terms of polytope rings introduced by Khovanskii and Pukhlikov. An analogous description for Chow rings of complete flag varieties was obtained by Kave and used by Kiritchenko, Smirnov and Timorin to get positive presentations of Schubert cycles by faces of a Gelfand-Zetlin polytope in type A. The underlying combinatorics was based on the mitosis of Knutson and Miller in type A. In my talk, I will describe a new mitosis algorithm on faces of a symplectic Gelfand-Zetlin polytope. Conjecturally, the collections of faces produced by this algoritm yield positive presentations of Schubert cycles in type C (joint work with Maria Padalko).
Extent	65 minutes
Subject	Mathematics; Algebraic geometry; Convex and discrete geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: National Research University Higher School of Economics
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-11-09
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0357483
URI	http://hdl.handle.net/2429/63571
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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Symplectic Gelfand-Zetlin polytopes and Schubert calculus Kiritchenko, Valentina

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