| Project/Area Number |
22540024
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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 |
TAGUCHI Yuichiro 九州大学, 大学院・数理学研究院, 准教授 (90231399)
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| Co-Investigator(Renkei-kenkyūsha) |
SAITO Takeshi 東京大学, 大学院・数理科学研究科, 教授 (70201506)
HIRANOUCHI Toshiro 広島大学, 大学院・理学研究科, 助教 (30532551)
YASUDA Seidai 大阪大学, 大学院・理学研究科, 准教授 (90346065)
HATTORI Shin 九州大学, 大学院・数理学研究院, 助教 (10451436)
MIEDA Yoichi 京都大学, 白眉センター/大学院・理学研究科, 准教授 (70526962)
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2010: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 数論 / ガロア表現 / 局所体 / 大域体 / 合同 / モジュライ / p進Hodge理論 / 分岐理論 / 頂切離散附値環 |
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| Research Abstract |
We obtained several useful results on Galois representations. In particular, for a geometric Galois representation of a complete discrete valuation fields with imperfect residue field, we proved, under suitable conditions, that its fixed subspace over a ``large'' Kummer extension of the base field is trivial, and applied this to Iwasawa Theory. Moreover, we studied the congruence of Galois representations and obtained some results on the generalization of the Rasmussen-Tamagawa conjecture.
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