The Emerging p-adic Langlands Programme

被引：0

作者：

Breuil, Christophe ^{[1
,2
]}

机构：

[1] CNRS, 35 Route Chartres, F-91440 Bures Sur Yvette, France

[2] IHES, F-91440 Bures Sur Yvette, France

来源：

PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS, VOL II: INVITED LECTURES | 2010年

关键词：

p-adic Langlands programme; p-adic Hodge theory; GL(2)(Q(p)); ((phi; Gamma)-modules; completed cohomology; MODULAR-REPRESENTATIONS; CONJECTURE; DISTRIBUTIONS; CONSTRUCTION; GL(2)(Q(P)); WEIGHTS; FORMS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a brief overview of some aspects of the p-adic and modulo p Langlands programmes.

引用

页码：203 / 230

页数：28

共 50 条

[11] Langlands program for p-adic coefficients and the petits camarades conjecture
Abe, Tomoyuki
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2018, 734 : 59 - 69
[12] A local-global compatibility conjecture in the p-adic Langlands Programme for GL2/Q
Emerton, Matthew
PURE AND APPLIED MATHEMATICS QUARTERLY, 2006, 2 (02) : 279 - 393
[13] The p-adic local Langlands correspondence for GL(2)(Q(p))
Colmez, Pierre
Dospinescu, Gabriel
Paskunas, Vytautas
CAMBRIDGE JOURNAL OF MATHEMATICS, 2014, 2 (01) : 1 - 47
[14] The Langlands classification for non-connected p-adic groups
Ban, D
Jantzen, C
ISRAEL JOURNAL OF MATHEMATICS, 2001, 126 (1) : 239 - 261
[15] The Local Langlands Correspondence for GLn over p-adic fields
Scholze, Peter
INVENTIONES MATHEMATICAE, 2013, 192 (03) : 663 - 715
[16] The Local Langlands Correspondence for GLn over p-adic fields
Peter Scholze
Inventiones mathematicae, 2013, 192 : 663 - 715
[17] THE LANGLANDS QUOTIENT THEOREM FOR FINITE CENTRAL EXTENSIONS OF p-ADIC GROUPS
Ban, Dubravka
Jantzen, Chris
GLASNIK MATEMATICKI, 2013, 48 (02) : 313 - 334
[18] Rigid analytic vectors of crystalline representations arising in p-adic Langlands
Ray, Jishnu
JOURNAL OF NUMBER THEORY, 2022, 238 : 82 - 105
[19] Completed cohomology of Shimura curves and a p-adic Jacquet–Langlands correspondence
James Newton
Mathematische Annalen, 2013, 355 : 729 - 763
[20] CORRESPONDENCE OF LANGLANDS LOCAL p-ADIC FOR GL2 (Qp)
Berger, Laurent
ASTERISQUE, 2011, (339) : 157 - 180

← 1 2 3 4 5 →