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

页码：1 / 112

页数：112

共 48 条

[31] The Weyl extension algebra of GL2((F)over-barp)
Miemietz, Vanessa
Turner, Will
ADVANCES IN MATHEMATICS, 2013, 246 : 144 - 197
[32] SUR CERTAINS COMPLETES UNITAIRES UNIVERSELS EXPLICITES POUR GL2(F)
De Ieso, Marco
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 2015, 143 (04): : 635 - 678
[33] Serre's Conjecture and Base Change for GL(2)
Hida, Haruzo
Pure and Applied Mathematics Quarterly, 2009, 5 (01) : 81 - 125
[34] On the elliptic gl2 solid-on-solid model: Functional relations and determinants
Galleas, W.
JOURNAL OF MATHEMATICAL PHYSICS, 2019, 60 (02)
[35] On integral aspects of Asai periods and Euler systems for ResE/Q GL2
Groutides, Alexandros
FORUM MATHEMATICUM, 2025,
[36] On a congruence prime criterion for cusp forms on GL2 over number fields
Namikawa, Kenichi
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2015, 707 : 149 - 207
[37] Geometric Langlands correspondence for SL(2), PGL(2) over the pair of pants
Nadler, David
Yun, Zhiwei
COMPOSITIO MATHEMATICA, 2019, 155 (02) : 324 - 371
[38] ON DELIGNE'S CONJECTURE FOR CERTAIN AUTOMORPHIC L-FUNCTIONS FOR GL(3) x GL(2) AND GL(4)
Chen, Shih-Yu
Cheng, Yao
DOCUMENTA MATHEMATICA, 2019, 24 : 2241 - 2297
[39] The effective Shafarevich conjecture for abelian varieties of GL2-type
von Kanel, Rafael
FORUM OF MATHEMATICS SIGMA, 2021, 9
[40] The Iwasawa Main Conjectures for GL2 and derivatives of p-adic L-functions
Castella, Francesc
Wan, Xin
ADVANCES IN MATHEMATICS, 2022, 400

← 1 2 3 4 5 →