Local and Global Langlands Conjecture(s) over Function Fields

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Authors: Dennis Gaitsgory
Cited by: 0

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)?

Fields of Study & Subjects

Advanced Algebra and Geometry advanced mathematical theories Advanced Harmonic Analysis Research

Publication details

Pages
51–80
Publication date
1 July 2026
Language
EN