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arXiv · 2108.06998

Deformation of rigid conjugate self-dual Galois representations

Yifeng Liu·Yichao Tian·Liang Xiao·Wei Zhang·Xinwen Zhu
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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.

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Yifeng Liu, Yichao Tian, Liang Xiao, Wei Zhang, Xinwen Zhu. 2021-08-16. Deformation of rigid conjugate self-dual Galois representations. https://arxiv.org/abs/2108.06998

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