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November 2, 2017


Thursday, November 02, 2017

Biostatistics Help: Faculty, Staff, Pre-MD and Post Doc Walk-In Clinic
11:00 AM - 12:00 PM

Biostatistics consulting is available to all Johns Hopkins University faculty, staff, pre-MD and post docs conducting clinical and translational research. 11:00 AM – 12:00 PM Wolfe Street Building Room: E3144 Contact Information: Nita James |
Eric Katz "Buium-Manin theory and periods of p-adic Abelian varieties."
3:00 PM - 4:00 PM


Speaker: Eric Katz (Ohio State) Abstract: In the 1960's Manin gave a proof of Mordell's conjecture for function fields in characteristic 0 that made use of "Manin maps" which are differential functions on Abelian varieties. These functions vanished on torsion. He defined these functions by differentiating period integrals. Manin maps were introduced by Buium in the p-adic setting using the very different language of differential algebra. In this talk, we discuss a construction of p-adic Manin maps through Coleman integration. This will involve an investigation of the notion of period in a very general context, finding a connection between Buium's notion of p-adic period and the Colmez--Fontaine notion in p-adic Hodge theory. This answers a question of Manin. The ultimate hope of this project is understanding functions that vanish on points of number theoretic interest, putting Manin's techniques on the same footing as the Chabauty--Coleman method.
Cognitive Science Department Colloquium on Scheduled Thursdays. See details for dates.
3:45 PM - 5:00 PM


Cognitive Science Department Colloquium Presentation on Scheduled Thursdays. Please see for schedule and full details.

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