An R=T theorem for certain orthogonal Shimura varieties
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866910011751399424 |
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| author | Peng, Hao Whitmore, Dmitri |
| author_facet | Peng, Hao Whitmore, Dmitri |
| contents | 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). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_04778 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | An R=T theorem for certain orthogonal Shimura varieties Peng, Hao Whitmore, Dmitri Number Theory 11F80, 11F70 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). |
| title | An R=T theorem for certain orthogonal Shimura varieties |
| topic | Number Theory 11F80, 11F70 |
| url | https://arxiv.org/abs/2602.04778 |