Non-minimal modularity lifting in weight one
Number Theory
2015-02-03 v1
Abstract
We prove an integral R = T theorem for odd two dimensional p-adic representations of the absolute Galois group which are unramified at p, extending results of [CG] to the non-minimal case. We prove, for any p, the existence of Katz modular forms modulo p of weight one which do not lift to characteristic zero.
Cite
@article{arxiv.1502.00029,
title = {Non-minimal modularity lifting in weight one},
author = {Frank Calegari},
journal= {arXiv preprint arXiv:1502.00029},
year = {2015}
}