下記 面白い Dennis Gaitsgoryさんね、もし若ければフィールズ賞候補だが・・
References 見ると [AGKRRV1]とか、プレプリばかりで 査読＆掲載まで行った論文か皆無かい？
へー

(参考)
<Interuniversal geometry とABC 予想59>より
https://rio2016.5ch.net/test/read.cgi/math/1762886294/126

https://arxiv.org/search/?query=icm+2026&searchtype=all&source=header
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37.arXiv:2509.24902 [pdf, ps, other] math.AG
Local and global Langlands conjecture(s) over function fields
Authors: Dennis Gaitsgory
Submitted 29 September, 2025; originally announced September 2025.

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)?

Introduction
0.1. What is this paper about?
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)? The approach we take can be summarized as the following three steps:
• Formulate (a higher-categorical) geometric statement;
• Apply the operation of (higher-categorical) trace of Frobenius, and identify the result with the classical object of interest;
• Deduce the sought-for description for the classical object.
0.2. Structure.
The main body of this paper consists of three sections:
In Sect. 1 we review some recent progress in the global unramified theory, following the papers [AGKRRV1, AGKRRV2, AGKRRV3] and [GR].
In Sect. 2 we propose a set of conjectures pertaining to the local Langlands theory.
In Sect. 3 we propose a set of conjectures pertaining to the global Langlands theory (whose formulation takes the local theory as an input).

References
[AGKRRV1] D. Arinkin, D.Gaitsgory, D. Kazhdan, S. Raskin, N. Rozenblyum and Y. Varshavsky, The stack of local systems with restricted variation and geometric Langlands theory with nilpotent singular support, arXiv:2010.01906.

https://en.wikipedia.org/wiki/Langlands_program
Langlands program
Geometric conjectures
Main article: Geometric Langlands correspondence
In 2024, a 9-person collaborative project led by Dennis Gaitsgory announced a proof of the (categorical, unramified) geometric Langlands conjecture leveraging Hecke eigensheaves as part of the proof.