Frank Calegari
Published 2019-07-19Version 1
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.
Comments: This is an unpublished and unsubmitted manuscript from 2015. The results are all massively superseded by arXiv:1812.09999, but some of the ideas in this paper may still be of interest
l-Adic representations associated to modular forms over imaginary quadratic fields
Special $L$-values of cusp forms on GL(2) over imaginary quadratic fields
On Manin's conjecture for a certain singular cubic surface over imaginary quadratic fields
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