Local and global Langlands conjecture(s) over function fields
Algebraic Geometry
2025-09-30 v1
Abstract
This is a write-up for the plenary ICM talk, 2026. The goal of this paper is to propose a set of conjectures whose aim is to answer the basic question of the Langlands program (over function fields): how to describe the space of automorphic functions in terms of the spectral side (i.e., Langlands parameters)?
Cite
@article{arxiv.2509.24902,
title = {Local and global Langlands conjecture(s) over function fields},
author = {Dennis Gaitsgory},
journal= {arXiv preprint arXiv:2509.24902},
year = {2025}
}