2017 Fiscal Year Final Research Report
Automorphic representations and special values of L-functions
Project/Area Number |
26800021
|
Research Category |
Grant-in-Aid for Young Scientists (B)
|
Allocation Type | Multi-year Fund |
Research Field |
Algebra
|
Research Institution | Kobe University (2016-2017) Kyoto University (2014-2015) |
Principal Investigator |
|
Project Period (FY) |
2014-04-01 – 2018-03-31
|
Keywords | 保型表現 / L函数 / 保型形式の周期 |
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.
|
Free Research Field |
保型L函数
|