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Bessel F-isocrystals for reductive groups

文献类型：期刊论文

作者Xu, Daxin1,2,3; Zhu, Xinwen4
刊名INVENTIONES MATHEMATICAE
出版日期2022-01-16
页码96
ISSN号0020-9910
DOI10.1007/s00222-021-01079-5
英文摘要We construct the Frobenius structure on a rigid connection Be (sic) on G(m) for a split reductive group (sic) introduced by Frenkel-Gross. These data form a (sic)-valued overconvergent F-isocrystal Be-(sic)(dagger) on G(m), F-p, which is the p-adic companion of the Kloosterman (sic)-local system Kl((sic)) constructed by Heinloth-Ngo-Yun. By studying the structure of the underlying differential equation, we calculate themonodromy group of Be-(sic)(dagger) when (sic) is almost simple (which recovers the calculation of monodromy group of Kl((sic)) due to Katz and Heinloth-Ngo-Yun), and prove a conjecture of Heinloth-Ngo-Yun on the functoriality between different Kloosterman (sic)-local systems. We show that the Frobenius Newton polygons of Kl(sic) are generically ordinary for every (sic) and are everywhere ordinary on vertical bar G(m), F-p vertical bar when (sic) is classical or G(2).
资助项目National Science Foundation[DMS-1902239] ; Simons Fellowship
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000742807600001
出版者SPRINGER HEIDELBERG
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/59895]  
专题中国科学院数学与系统科学研究院
通讯作者Zhu, Xinwen
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
4.CALTECH, Dept Math, Pasadena, CA 91125 USA
推荐引用方式
GB/T 7714		 Xu, Daxin,Zhu, Xinwen. Bessel F-isocrystals for reductive groups[J]. INVENTIONES MATHEMATICAE,2022:96.
APA Xu, Daxin,&Zhu, Xinwen.(2022).Bessel F-isocrystals for reductive groups.INVENTIONES MATHEMATICAE,96.
MLA Xu, Daxin,et al."Bessel F-isocrystals for reductive groups".INVENTIONES MATHEMATICAE (2022):96.

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来源：数学与系统科学研究院

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