X. Wang

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20242026

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math.AG2026

Relative Fundamental Lemmas for Spherical Hecke Algebras and Multiplicative Hitchin Fibrations: the Jacquet--Rallis Case

X. Griffin Wang, Zhiyu Zhang

We prove the Jacquet--Rallis fundamental lemma for spherical Hecke algebras over local function fields using multiplicative Hitchin fibrations. Our work is inspired by the proof of…

math.AG2025

Multiplicative Hitchin Fibrations and the Fundamental Lemma

X. Griffin Wang

Let $k$ be a finite field and let $G$ be a reductive group over $k [[I ¨ ]]$ . Suppose $char (k)$ is larger than twice the Coxeter number of $G$ , we prove the standard endoscop…