Multiplicity one for the mod p cohomology of Shimura curves: the tame case

CSpace > 数学所

	Multiplicity one for the mod p cohomology of Shimura curves: the tame case
	Hu, Yongquan1,2 ; Wang, Haoran 3
	2018
发表期刊	MATHEMATICAL RESEARCH LETTERS
ISSN	1073-2780
卷号	25 期号:3 页码:843-873
摘要	Let F be a totally real field, p an unramified place of F dividing p and (r) over bar : Gal((F) over bar /F) -> GL(2) ((F) over bar (p)) a continuous irreducible modular representation. The work of Buzzard, Diamond and Jarvis (Duke Math Journal, 2010) associates to (r) over bar an admissible smooth representation of GL(2) (F-p) on the mod p etale cohomology of Shimura curves attached to indefinite division algebras which split at p. When r satisfies the Taylor-Wiles hypotheses and (r) over bar vertical bar(Gal((Fp) over bar /Fp)) is tamely ramified and generic, we determine the subspace of invariants of this representation under the principal congruence subgroup of level p. As a consequence, this subspace depends only on (r) over bar vertical bar(Gal(Fp/Fp)) and satisfies a multiplicity one property.
语种	英语
资助项目	National Natural Science Foundation of China[11688101] ; China's Recruitement Program of Global Experts ; National Center for Mathematics and Interdisciplinary Sciences ; Hua Loo-Keng Center for Mathematical Sciences of Chinese Academy of Sciences
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000440657400006
出版者	INT PRESS BOSTON, INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/30855
专题	数学所
通讯作者	Hu, Yongquan
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100190, Peoples R China 3.Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China
推荐引用方式 GB/T 7714	Hu, Yongquan,Wang, Haoran. Multiplicity one for the mod p cohomology of Shimura curves: the tame case[J]. MATHEMATICAL RESEARCH LETTERS,2018,25(3):843-873.
APA	Hu, Yongquan,&Wang, Haoran.(2018).Multiplicity one for the mod p cohomology of Shimura curves: the tame case.MATHEMATICAL RESEARCH LETTERS,25(3),843-873.
MLA	Hu, Yongquan,et al."Multiplicity one for the mod p cohomology of Shimura curves: the tame case".MATHEMATICAL RESEARCH LETTERS 25.3(2018):843-873.