Title	Update on the companion problem
Creator	Kedlaya, Kiran
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-10-05T10:31
Description	Let k be a finite field of characteristic p, and let l be a prime not equal to p. An old conjecture of Deligne states that on any smooth variety over k, any lisse l-adic sheaf which is irreducible of finite determinant admits a "crystalline companion" with matching Frobenius characteristic polynomials at all closed points. We report on progress towards constructing crystalline companions in the category of overconvergent F-isocrystals, building on work of Drinfeld, Deligne, and Abe-Esnault.
Extent	66 minutes
Subject	Mathematics; Algebraic geometry; Number theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of California, San Diego
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	10.14288/1.0364649
URI	http://hdl.handle.net/2429/65093
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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