Study of the theta correspondence betweenunitary groups
| Project/Area Number |
21540020
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Kyushu University |
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Principal Investigator |
KONNO Takuya 九州大学, 数理学研究院, 准教授 (00274431)
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| Project Period (FY) |
2009 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | 整数論 / 保型表現 / テータ対応 / endoscopy / 保型内視論 / ユニタリ群 / L関数 / 跡公式 / 保型L関数 / 周期積分 / 内視論 |
|---|
| Research Abstract |
In order to analyze arithmetic structures of automorphic representations of unitary groups of low rank, we tried several way to construct such automorphic representations as theta lifts. We obtain description of local theta correspondence between rank 2 unitary groups over local fields (also those between arbitrary real unitary groups) in terms of the endoscopic classification
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Report
(5 results)
Research Products
(21 results)
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[Presentation] 古典群の構造2013
Author(s)
今野拓也
Organizer
進代数群の調和解析小研究集会
Place of Presentation
東京大学
Year and Date
2013-03-30
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