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Multiplicative Hitchin Fibrations and the Fundamental Lemma
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classification
math.AGmath.NT
keywords
fibrationsfundamentalhitchinlemmamultiplicativealgebracharcoxeter
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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