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DTSTAMP:20171030T081236Z
DTSTART;TZID=America/Los_Angeles:20171120T151000
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SUMMARY:Arithmetic Geometry and Number Theory RTG Seminar: Parallel transport and the p-adic Simpson correspondence
UID:113010-ucb-events-calendar@berkeley.edu
ORGANIZER;CN="UC Berkeley Calendar Network":
LOCATION:891 Evans Hall
DESCRIPTION:Daxin Xu\, Caltech\n\nDeninger and Werner developed an analogue for p-adic curves of the classical correspondence of Narasimhan and Seshadri between stable bundles of degree zero and unitary representations of the topological fundamental group for a complex smooth proper curve. Using parallel transport\, they associated functorially to every vector bundle on a p-adic curve whose reduction is strongly semi-stable of degree 0 a p-adic representation of the étale fundamental group of the curve. They asked several questions: whether their functor is fully faithful and what is its essential image\; whether the cohomology of the local systems produced by this functor admits a Hodge-Tate filtration\; and whether their construction is compatible with the p-adic Simpson correspondence developed by Faltings. We will answer these questions in this talk.\n\nSeminar Format: The seminar consists of two 50-minute talks\, a pre-talk (3:10-4:00) and an advanced talk (4:10-5:00)\, with a 10-minute break (4:00-4:10) between them. The advanced talk is a regular formal presentation about recent research results to general audiences in arithmetic geometry and number theory\; the pre-talk (3:10-4:00) is to introduce some prerequisites or background for the advanced talk to audiences consisting of graduate students.
URL:http://events.berkeley.edu/index.php/calendar/sn/pubaff.html?event_ID=113010&view=preview
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