Title	Atkin and Swinnerton-Dyer congruences for toric hypersurfaces
Creator	Vlasenko, Masha
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-10-05T09:02
Description	I will report on my work in progress done jointly with Frits Beukers. In 1990s V. Batyrev used Dwork modules to describe the mixed Hodge structure on the middle cohomology of affine hypersurfaces in algebraic tori. Dwork modules are crystals where the Frobenius map and connection can be described explicitly. We use these crystals to show several p-adic congruences for the coefficients of powers of a Laurent polynomial. The congruence mentioned in the title involves the L-function of the toric exponential sums and yields p-adic unit-root formulas.
Extent	61 minutes
Subject	Mathematics; Algebraic geometry; Number theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Institute of Mathematics of the Polish Academy of Sciences
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2018-04-04
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0364651
URI	http://hdl.handle.net/2429/65095
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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