Multiplicities of cohomological automorphic forms on GL(2) and mod p representations of GL2(Q(p))
文献类型：期刊论文
| 作者 | Hu, Yongquan1,2 |
| 刊名 | JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY
 |
| 出版日期 | 2021 |
| 卷号 | 23期号:11页码:3625-3678 |
| 关键词 | Completed cohomology mod p representations |
| ISSN号 | 1435-9855 |
| DOI | 10.4171/JEMS/1078 |
| 英文摘要 | We prove a new upper bound for the dimension of the space of cohomological automorphic forms of fixed level and growing parallel weight on GL(2) over a number field which is not totally real, improving the one obtained in [Ann. of Math. (2) 175 (2012)]. The main tool of the proof is the mod p representation theory of GL(2)(Q(p)) as started by Barthel-Livne and Breuil, and developed by Paskunas. |
| 资助项目 | National Natural Science Foundation of China[11688101] ; China's Recruitement Program of Global Experts, National Center for Mathematics and Inter disciplinary Sciences ; Hua Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000695085800005 |
| 出版者 | EUROPEAN MATHEMATICAL SOC-EMS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59284]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 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 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hu, Yongquan. Multiplicities of cohomological automorphic forms on GL(2) and mod p representations of GL2(Q(p))[J]. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY,2021,23(11):3625-3678. |
| APA | Hu, Yongquan.(2021).Multiplicities of cohomological automorphic forms on GL(2) and mod p representations of GL2(Q(p)).JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY,23(11),3625-3678. |
| MLA | Hu, Yongquan."Multiplicities of cohomological automorphic forms on GL(2) and mod p representations of GL2(Q(p))".JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY 23.11(2021):3625-3678. |
入库方式： OAI收割
来源：数学与系统科学研究院
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