OUTLINE OF THE PROOF OF THE GEOMETRIC LANGLANDS CONJECTURE FOR GL2

被引：0
作者：
Gaitsgory, Dennis [1 ]
机构：
[1] Harvard Univ, Dept Math, Cambridge, MA 02138 USA
来源：
ASTERISQUE | 2015年 / 370期
基金：
美国国家科学基金会;
关键词：
Geometric Langlands correspondence; derived algebraic geometry; REPRESENTATIONS; DUALITY;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We outline a proof of the categorical geometric Langlands conjecture for GL(2), as formulated in [AG], modulo a number of more tractable statements that we call Quasi-Theorems.
引用
收藏
页码：1 / 112
页数：112
相关论文
共 48 条
[41]   On the Rankin-Selberg L-factors for SO5 x GL2 [J].
Cheng, Yao .
ISRAEL JOURNAL OF MATHEMATICS, 2024, 261 (01) :313-356
[42]   The alternating presentation of Uq ((gl2)over-cap) from Freidel-Maillet algebras [J].
Baseilhac, Pascal .
NUCLEAR PHYSICS B, 2021, 967
[43]   Unitary completions of locally algebraic and locally analytic principal series of p-adic GL2 [J].
Kidwell, Keenan .
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2016, 12 (07) :1765-1781
[44]   Actions of the quantum toroidal algebra of type sl2 on the space of vertex operators for Uq(gl2) modules [J].
Miki, Kei .
JOURNAL OF MATHEMATICAL PHYSICS, 2016, 57 (07)
[45]   On Bhargava's Heuristics for GL2(Fp)-Number Fields and the Number of Elliptic Curves of Bounded Conductor [J].
Lipnowski, Michael .
EXPERIMENTAL MATHEMATICS, 2021, 30 (02) :221-234
[46]   LOCALLY ANALYTIC Ext1 FOR GL2(Qp) IN DE RHAM NON-TRIANGULINE CASE [J].
Ding, Yiwen .
REPRESENTATION THEORY, 2022, 26 :122-133
[47]   On the universal mod p supersingular quotients for GL2(F) over (F)over-barp for a general F/Qp [J].
Hendel, Yotam I. .
JOURNAL OF ALGEBRA, 2019, 519 :1-38
[48]   Free probability on W∗\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$W^{*}$$\end{document}-dynamical systems determined by GL2(Qp)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$GL_{2}(\mathbb {Q} _{p})$$\end{document}: generalized Hecke algebras [J].
Ilwoo Cho .
Bollettino dell'Unione Matematica Italiana, 2017, 10 (4) :725-764
12345