Title	Slope filtrations of $F$-isocrystals, log decay, and genus stability for towers of curves
Creator	Kramer-Miller, Joe
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-10-06T09:03
Description	We introduce a notion of $F$-isocrystals with logarithmic decay and give a conjecture relating this notion to slope filtrations. When the unit-root subcrystal has rank one we prove this conjecture. Combining this with a monodromy theorem we give a new proof of the Drinfeld-Kedlaya theorem. We also prove a generalized version of Wan's conjecture on genus stability for towers of curves coming from geometry.
Extent	59 minutes
Subject	Mathematics; Algebraic geometry; Number theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University College London
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2018-04-05
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0364677
URI	http://hdl.handle.net/2429/65119
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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