Geometric Langlands in positive characteristic from characteristic zero
Algebraic Geometry
2025-08-05 v1
Abstract
We establish part of the statement of the geometric Langlands conjecture for l-adic sheaves over a field of positive characteristic. Namely, we show that the category of automorphic sheaves with nilpotent singular support is equivalent to the appropriately defined category of ind-coherent sheaves on the union of some of the connected components of the stack of Langlands parameters.
Cite
@article{arxiv.2508.02237,
title = {Geometric Langlands in positive characteristic from characteristic zero},
author = {Dennis Gaitsgory and Sam Raskin},
journal= {arXiv preprint arXiv:2508.02237},
year = {2025}
}