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Tame local Betti geometric Langlands

2025/01/24 by Gurbir Singh Dhillon, Dhillon, Gurbir, Jeremy M. G. Taylor +1
Social Sciences · #African history and culture analysis

paper · pdf · doi:10.48550/arxiv.2501.14157

Abstract

We prove a monoidal equivalence between spectral and automorphic realizations of the universal affine Hecke category, thereby proving the tamely ramified local Betti geometric Langlands correspondence, as conjectured by Ben-Zvi--Nadler [BZN07, BZN18]. Specializing to the case of unipotent monodromy, this provides another argument for a fundamental theorem of Bezrukavnikov [B16].

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