# Minimal modularity lifting for non-regular symplectic representations

**Authors:** Frank Calegari, David Geraghty

arXiv: 1907.08691 · 2020-12-16

## TL;DR

This paper proves a minimal modularity lifting theorem for Galois representations linked to genus two Siegel modular forms that are limits of discrete series, advancing understanding in automorphic forms and Galois theory.

## Contribution

It introduces a minimal modularity lifting theorem specifically for Galois representations associated with certain Siegel modular forms, a novel result in the field.

## Key findings

- Established a minimal modularity lifting theorem for specific Galois representations.
- Connected Galois representations to Siegel modular forms that are limits of discrete series.
- Enhanced the theoretical framework for automorphic forms and Galois representations.

## Abstract

In this paper, we prove a minimal modularity lifting theorem for Galois representations (conjecturally) associated to Siegel modular forms of genus two which are holomorphic limits of discrete series at infinity.

## Full text

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## References

53 references — full list in the complete paper: https://tomesphere.com/paper/1907.08691/full.md

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Source: https://tomesphere.com/paper/1907.08691