A modularity lifting theorem for weight 2 Hilbert modular forms

2006/01/21 by Gee, Toby
#11F33 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.math/0601515

Abstract

We prove a modularity lifting theorem for potentially Barostti-Tate representations over totally real fields, generalising recent results of Kisin. Unfortunately, there was an error in the original version of this paper, meaning that we can only obtain a slightly weaker result in the case where the representations are potentially ordinary; an erratum has been added explaining this error.

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