Multiplicative Hitchin Fibrations and the Fundamental Lemma
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915332105437184 |
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| author | Wang, X. Griffin |
| author_facet | Wang, X. Griffin |
| contents | Let $k$ be a finite field and let $G$ be a reductive group over $k[[π]]$. Suppose $\mathrm{char}(k)$ is larger than twice the Coxeter number of $G$, we prove the standard endoscopic fundamental lemma for the spherical Hecke algebra of $G$ using multiplicative Hitchin fibrations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_19331 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multiplicative Hitchin Fibrations and the Fundamental Lemma Wang, X. Griffin Algebraic Geometry Number Theory Let $k$ be a finite field and let $G$ be a reductive group over $k[[π]]$. Suppose $\mathrm{char}(k)$ is larger than twice the Coxeter number of $G$, we prove the standard endoscopic fundamental lemma for the spherical Hecke algebra of $G$ using multiplicative Hitchin fibrations. |
| title | Multiplicative Hitchin Fibrations and the Fundamental Lemma |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2402.19331 |