|GALOIS REPRESENTATIONS AND AUTOMORPHIC FORMS SEMINAR|
|Topic:||p-Adic Analytic Continuation of Genus 2 Overconvergent Hilbert Eigenforms in the Inert Case|
|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.