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
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Edinburgh
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2016-12-21
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/
Aggregated Source Repository	DSpace

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