Multiplicity one for the mod p cohomology of Shimura curves: the tame case
文献类型：期刊论文
| 作者 | Hu, Yongquan1,2 ; Wang, Haoran3
|
| 刊名 | MATHEMATICAL RESEARCH LETTERS
 |
| 出版日期 | 2018 |
| 卷号 | 25期号:3页码:843-873 |
| ISSN号 | 1073-2780 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000440657400006 |
| 出版者 | INT PRESS BOSTON, INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/30854]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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