2017 Fiscal Year Final Research Report
Automorphic representations and special values of L-functions
| Project/Area Number |
26800021
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Algebra
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| Research Institution | Kobe University (2016-2017)
Kyoto University (2014-2015) |
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Principal Investigator |
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| Project Period (FY) |
2014-04-01 – 2018-03-31
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| Keywords | 保型表現 / L函数 / 保型形式の周期 |
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| Outline of Final Research Achievements |
We studied a relationship between special values of automorphic L-functions and periods of automorphic forms. Under certain assumptions, we proved an explicit formula of Whittaker periods for even unitary group, which is a conjecture by Lapid and Mao. Using a certain local identity which played an important role in the proof of this explicit formula, we proved formal degree conjecture in this case.
Further, in a joint work with Masaaki Furusawa (Osaka City University), we proved an explicit formula relating special Bessel periods and central values of automorphic L-functions associated to Siegel modular forms.
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| Free Research Field |
保型L函数
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