Tame local Betti geometric Langlands

Abstract

Working over the integers, we prove that the universal monodromic affine Hecke category is monoidally equivalent to ind-coherent sheaves on the Steinberg stack, confirming a conjecture of Ben-Zvi and Nadler. Specializing to unipotent monodromy, this provides another argument for a fundamental theorem of Bezrukavnikov.

arXiv commentSubstantially revised to treat integer coefficients