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arXiv · 2602.04778

An R=T theorem for certain orthogonal Shimura varieties

Hao Peng·Dmitri Whitmore
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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).

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Hao Peng, Dmitri Whitmore. 2026-02-04. An R=T theorem for certain orthogonal Shimura varieties. https://arxiv.org/abs/2602.04778

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