Theory of endoscopy for an automorphic representation of a covering group
| Project/Area Number |
26610005
|
|---|
| Research Category |
Grant-in-Aid for Challenging Exploratory Research
|
| Allocation Type | Multi-year Fund |
|---|
| Research Field |
Algebra
|
|---|
| Research Institution | Kyoto University |
|---|
Principal Investigator |
Ikeda Tamotsu 京都大学, 理学研究科, 教授 (20211716)
|
|---|
| Co-Investigator(Renkei-kenkyūsha) |
HIRAGA Kaoru 京都大学, 大学院理学研究科, 講師 (10260605)
|
|---|
| Project Period (FY) |
2014-04-01 – 2017-03-31
|
| Project Status |
Completed (Fiscal Year 2016)
|
| Budget Amount *help |
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
|
|---|
| Keywords | 保型表現 / 保型形式 / 被覆群 / 保形表現 / Kohnen プラス空間 / Gross-Keating 不変量 |
|---|
| Outline of Final Research Achievements |
In this research project, we investigated Siegel Eisenstein series defined over a symplectic or a metaplectic group. In particular, we proved the functional equation of a Siegel series. Moreover, by a joint work with Katsurada, we develop a theory of the Gross-Keating invariant of a quadratic form over a non-archimedean local field. As an application, we obtained an explicit formula of a Siegel series.
We also considered the theory of lifting for a symplectic or unitary group defined over a totally real number field. We gave an interesting numerical example for a lifting of Hilbert-Siegel modular forms.
|
Report
(4 results)
Research Products
(8 results)
-
[Presentation] Kohnen plus space for Hilbert modular forms2016
Author(s)
T. Ikeda
Organizer
International Conference for the 70th Anniversary of Korean Mathematical Society, 2016 KMS Annual Meeting 10月20日～23日 10月22日
Place of Presentation
ソウル大学（韓国）
Year and Date
2016-10-22
Related Report
Int'l Joint Research / Invited
-
-
-
-
-
-
-
