Title	Rigid systems and integrality
Creator	Esnault, Hélène
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-10-02T10:36
Description	We prove that the monodromy of a cohomologically rigid integrable connection $(E,\nabla)$ on a smooth complex projective variety $X$ is integral. This answers positively a special case of a conjecture by Carlos Simpson. To this aim, we prove that the mod $p$ reduction of a rigid integrable connection $(E,\nabla) $ has the structure of an isocrystal with Frobenius structure. We also prove that rigid integrable connections with vanishing $p$- curvatures are unitary. This allows one to prove new cases of Grothendieck’s $p$-curvature conjecture. Joint with Michael Groechenig
Extent	71 minutes
Subject	Mathematics; Algebraic geometry; Number theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Freie Universität Berlin
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2018-04-01
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0364614
URI	http://hdl.handle.net/2429/65058
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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