Multiplicities of cohomological automorphic forms on GL(2) and mod p representations of GL2(Q(p))

doi:10.4171/JEMS/1078

	Multiplicities of cohomological automorphic forms on GL(2) and mod p representations of GL2(Q(p))
	Hu, Yongquan 1,2
刊名	JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY
	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
出版者	EUROPEAN MATHEMATICAL SOC-EMS
WOS记录号	WOS:000695085800005
内容类型	期刊论文
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.