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p-Adic Analytic Continuation of Genus 2 Overconvergent... - Yichao Tian
Автор: Institute for Advanced Study
Загружено: 2016-08-25
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Yichao Tian
Princeton University; Member, School of Mathematics
March 17, 2011
A well known result of Coleman says that p-adic overconvergent (ellitpic) eigenforms of small slope are actually classical modular forms. Now consider an overconvergent p-adic Hilbert eigenform F for a totally real field L. When p is totally split in L, Sasaki has proved a similar result on the classicality of F. In this talk, I will explain how to treat the case when L is a quadratic real field and p is inert in L.
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