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arXiv · 2402.19331

Multiplicative Hitchin Fibrations and the Fundamental Lemma

X. Griffin Wang
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Abstract

Let $k$ be a finite field and let $G$ be a reductive group over $k[[\pi]]$. 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.

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X. Griffin Wang. 2024-02-29. Multiplicative Hitchin Fibrations and the Fundamental Lemma. https://arxiv.org/abs/2402.19331

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