GALOIS REPRESENTATIONS AND AUTOMORPHIC FORMS SEMINAR | |

Topic: | p-Adic Analytic Continuation of Genus 2 Overconvergent Hilbert Eigenforms in the Inert Case |

Speaker: | Yichao Tian |

Affiliation: | Princeton University; Member, School of Mathematics |

Date: | Thursday, March 17 |

Time/Room: | 2:15pm - 3:15pm/S-101 |

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.