An R=T theorem for certain orthogonal Shimura varieties
Number Theory
2026-02-05 v1
Abstract
We prove an almost minimal R=T theorem for self-dual Galois representations with coefficients in a finite field satisfying a property called rigid. We also prove the rigidity property for a large family of residual Galois representations attached to regular algebraic self-dual representations. Our theorem is based on a Taylor--Wiles patching argument for G-valued Galois representation, where G equals GO(2m) or GSp(2m).
Cite
@article{arxiv.2602.04778,
title = {An R=T theorem for certain orthogonal Shimura varieties},
author = {Hao Peng and Dmitri Whitmore},
journal= {arXiv preprint arXiv:2602.04778},
year = {2026}
}
Comments
38 pages, comments welcome!