Semistable modularity lifting over imaginary quadratic fields
Number Theory
2019-07-23 v1
Abstract
We prove a non-minimal modularity lifting theorem for ordinary Galois representations over imaginary quadratic fields, conditional on a local-global compatibility conjecture for ordinary torsion classes.
Cite
@article{arxiv.1907.08700,
title = {Semistable modularity lifting over imaginary quadratic fields},
author = {Frank Calegari},
journal= {arXiv preprint arXiv:1907.08700},
year = {2019}
}
Comments
This is an unpublished and unsubmitted manuscript from 2015. The results are all massively superseded by arXiv:1812.09999, but some of the ideas in this paper may still be of interest