# Semistable modularity lifting over imaginary quadratic fields

## TL;DR

This paper proves a non-minimal modularity lifting theorem for ordinary Galois representations over imaginary quadratic fields, advancing understanding in number theory under certain conjectural conditions.

## Contribution

It introduces a new modularity lifting theorem for Galois representations over imaginary quadratic fields, extending previous results to a non-minimal setting.

## Key findings

- Establishes a non-minimal modularity lifting theorem for ordinary Galois representations.
- Conditional on a local-global compatibility conjecture for torsion classes.
- Advances the theory of automorphic forms over imaginary quadratic fields.

## 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.