Completed cohomology and the p-adic Langlands program

被引：0
|
作者：
Emerton, Matthew [1 ]
机构：
[1] Univ Chicago, Dept Math, 5734 S Univ Ave, Chicago, IL 60637 USA
来源：
PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS (ICM 2014), VOL II | 2014年
关键词：
p-adic Langlands program; p-adic Hodge theory; completed cohomology; Galois representations; GALOIS REPRESENTATIONS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We discuss some known and conjectural properties of the completed cohomology of congruence quotients associated to reductive groups over Q. We also discuss the conjectural relationships to local and global Galois representations, and a possible p-adic local Langlands correspondence.
引用
收藏
页码：319 / 342
页数：24
相关论文
共 50 条
  • [31] Correspondence of the Jacquet-Langlands p-adic forms
    Chenevier, G
    [J]. DUKE MATHEMATICAL JOURNAL, 2005, 126 (01) : 161 - 194
  • [32] Syntomic cohomology as a p-adic absolute Hodge cohomology
    Bannai, K
    [J]. MATHEMATISCHE ZEITSCHRIFT, 2002, 242 (03) : 443 - 480
  • [33] Weak local-global compatibility in the p-adic Langlands program for U(2)
    Chojecki, Przemyslaw
    Sorensen, Claus
    [J]. RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2017, 137 : 101 - 133
  • [34] First steps towards p-adic Langlands functoriality
    Breuil, Christophe
    Schneider, Peter
    [J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2007, 610 : 149 - 180
  • [35] Local p-adic Langlands correspondence and Kisin rings
    Colmez, Pierre
    Dospinescu, Gabriel
    Niziol, Wieslawa
    [J]. ACTA ARITHMETICA, 2023, 208 (02) : 101 - 126
  • [36] p-adic Langlands functoriality for the definite unitary group
    White, Paul-James
    [J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2014, 691 : 1 - 27
  • [37] Strong local-global compatibility in the p-adic Langlands program for U(2)
    Chojecki, Przemyslaw
    Sorensen, Claus
    [J]. RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2017, 137 : 135 - 153
  • [38] On p-adic L-series, p-adic cohomology and class field theory
    Burns, David
    Macias Castillo, Daniel
    [J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2017, 732 : 55 - 83
  • [39] Prismatic cohomology and p-adic homotopy theory
    Shin, Tobias
    [J]. JOURNAL OF HOMOTOPY AND RELATED STRUCTURES, 2023, 18 (04) : 521 - 541
  • [40] Hochschild cohomology and p-adic Lie groups
    Sorensen, Claus
    [J]. MUENSTER JOURNAL OF MATHEMATICS, 2021, 14 (01): : 101 - 122
12345