| Project/Area Number |
16KK0100
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| Research Category |
Fund for the Promotion of Joint International Research (Fostering Joint International Research)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Algebra
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| Research Institution | Osaka University |
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Principal Investigator |
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| Research Collaborator |
Lemma Francesco パリ第7大学, IMJ-PRG, 講師
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| Project Period (FY) |
2017 – 2018
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| Project Status |
Completed (Fiscal Year 2018)
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| Budget Amount *help |
¥11,700,000 (Direct Cost: ¥9,000,000、Indirect Cost: ¥2,700,000)
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| Keywords | 岩澤理論 / 肥田理論 / ガロワ変形 / Euler系 / p進L函数 / Selmer群 / p進L関数 / 岩澤主予想 |
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| Outline of Final Research Achievements |
(1) We establish the existence of congruences between an endoscopic cuspidal automorphic representation of GSp(4) of level 1 and stable cuspidal automorphic representations of the same level and weight modulo certain prime factors of the value at 1 of the adjoint L-function of normalized by a suitable period.
(2) We studied the construction of Euler system associated to cuspidal representations of Gap(4). We obtained partial results on norm compatibility of certain motivic elements.
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