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Seminar

NGM Pizza Seminar: Control theorems for overconvergent automorphic forms October 31, 2014 (11:00 AM PDT - 11:45 AM PDT)
Parent Program: New Geometric Methods in Number Theory and Automorphic Forms
Location: MSRI: Simons Auditorium
Speaker(s) Christian Johansson (University of Oxford)
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A theorem of Coleman asserts that if f is an overconvergent U_p-eigenform of weight k>1 such that the valuation of its U_p-eigenvalue is <k-1, then f is classical modular form. In this talk I will discuss variations of Coleman's proof of this theorem, with an eye towards ideas that generalize to higher-dimensional Shimura varieties. Part of this is joint work with Vincent Pilloni.

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