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Base Change Fundamental Lemma for Central Elements in Depth-zero Hecke Algebras over Local Function Fields

Year: 2026
Type: preprint
Abstract: Let $G$ be an unramified group over a local function field of characteristic $p>0$. This article introduces an abstract norm map between the twisted conjugacy classes and conjugacy classes of $G$ in the positive characteristics setting, applies the process of stabilization of (twisted) trace formula and proves the corresponding base change fundamental lemma for regular semisimple elements.
Open Access status: green
OpenAlex ID: W7168274574
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