On the rigid cohomology of certain Shimura varieties

被引：40

作者：

Harris, Michael ^{[1
]}

Lan, Kai-Wen ^{[2
]}

Taylor, Richard ^{[3
]}

Thorne, Jack ^{[4
]}

机构：

[1] Inst Math Jussieu, Paris, France

[2] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

[3] Inst Adv Study, Sch Math, Princeton, NJ 08540 USA

[4] Univ Cambridge, Dept Pure Math & Math Stat, Cambridge, England

来源：

RESEARCH IN THE MATHEMATICAL SCIENCES | 2016年 / 3卷

基金：

欧洲研究理事会; 美国国家科学基金会;

关键词：

LOCAL-GLOBAL COMPATIBILITY; GALOIS REPRESENTATIONS; COHERENT COHOMOLOGY; FORMS;

D O I：

10.1186/s40687-016-0078-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct the compatible system of l-adic representations associated to a regular algebraic cuspidal automorphic representation of GL(n) over a CM (or totally real) field and check local-global compatibility for the l-adic representation away from l and a finite number of rational primes above which the CM field or the automorphic representation ramifies. The main innovation is that we impose no self-duality hypothesis on the automorphic representation.

引用

页数：308

共 54 条

[41]

Kottwitz R.E., 1992, J. Amer. Math. Soc., V5, P373

[42]

Kunz E, 1986, Kahler Differentials

[43]

Lan K. - W., 2013, PREPRINT

[44]

Lan K.-W., 2013, London Mathematical Society Monographs Series, V36

[45] Toroidal compactifications of PEL-type Kuga families [J].