Tame local Betti geometric Langlands
Representation Theory
2025-01-27 v1 Algebraic Geometry
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].
Cite
@article{arxiv.2501.14157,
title = {Tame local Betti geometric Langlands},
author = {Gurbir Dhillon and Jeremy Taylor},
journal= {arXiv preprint arXiv:2501.14157},
year = {2025}
}