| 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)
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| 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.
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