Deformation of rigid conjugate self-dual Galois representations
Number Theory
2021-08-17 v1
Abstract
In this article, we study deformations of conjugate self-dual Galois representations. The study has two folds. First, we prove an R=T type theorem for a conjugate self-dual Galois representation with coefficients in a finite field, satisfying a certain property called rigid. Second, we study the rigidity property for the family of residue Galois representations attached to a symmetric power of an elliptic curve, as well as to a regular algebraic conjugate self-dual cuspidal representation.
Keywords
Cite
@article{arxiv.2108.06998,
title = {Deformation of rigid conjugate self-dual Galois representations},
author = {Yifeng Liu and Yichao Tian and Liang Xiao and Wei Zhang and Xinwen Zhu},
journal= {arXiv preprint arXiv:2108.06998},
year = {2021}
}
Comments
42 pages. This article is essentially the original Appendix E of the article arXiv:1912.11942; we now decide to make that appendix an independent article