2014 Fiscal Year Final Research Report
Automorphic forms, algebraic varieties and Iwasawa theory
| Project/Area Number |
24740017
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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 | Nara Women's University |
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Principal Investigator |
OKAZAKI Takeo 奈良女子大学, 自然科学系, 准教授 (80437334)
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| Research Collaborator |
YAMAUCHI Takuya 鹿児島大学, 教育学部, 准教授 (90432707)
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Keywords | Newform / GU(2,2) / Siegel Modular Form / Automorphic L-function |
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| Outline of Final Research Achievements |
We established functional equations for automorphic representations of GU(2,2), and a New form theory corresponding to them. We call D-paramodular subgroups which fix the new forms. In particular, when the automorphic representation is distinguished, it has a D-paramodular Shalika period. By considering the theta correspondence between GSp(4) and GU(2,2), we give a proof for a conjecture of van Geemen and van Straten.
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| Free Research Field |
保型形式、整数論
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