On the rigid cohomology of certain Shimura varieties

被引：37
|
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：
美国国家科学基金会; 欧洲研究理事会;
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.
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页数：308
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