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Spherical pair for a flop Bodzenta, Agnieszka Jun 21, 2016

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Title Spherical pair for a flop
Creator Bodzenta, Agnieszka
Publisher Banff International Research Station for Mathematical Innovation and Discovery
Date Issued 2016-06-21T09:00
Description Consider varieties X and X^+ related by flopping contractions f: X \to Y, f^+: X^+ \to Y with fibers of dimension less than or equal to one. The null category for f is the category of sheaves on X with vanishing derived direct image. I will show that the derived categories of null categories for f and f^+ form a spherical pair in an appropriate quotient of the derived category of the fiber product of X and X^+ over Y. The associated auto-equivalence of the derived category of X is the flop-flop functor. This is a joint work with A. Bondal.
Extent 55 minutes
Subject Mathematics
Category theory; homological algebra
Algebraic structures
Geographic Location Banff (Alta.)
Type Moving Image
FileFormat video/mp4
Language eng
Notes Author affiliation: University of Edinburgh
Series BIRS Workshop Lecture Videos (Banff, Alta)
Date Available 2016-12-20
Provider Vancouver : University of British Columbia Library
Rights Attribution-NonCommercial-NoDerivatives 4.0 International
DOI 10.14288/1.0340409
URI http://hdl.handle.net/2429/60054
Affiliation Non UBC
Peer Review Status Unreviewed
Scholarly Level Postdoctoral
Rights URI http://creativecommons.org/licenses/by-nc-nd/4.0/
AggregatedSourceRepository DSpace

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48630-201606210900-Bodzenta_lrv.mp4 [ 231.07MB ]
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48630-1.0340409.ris

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