| Project/Area Number |
24540018
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Osaka University |
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Principal Investigator |
YASUDA Seidai 大阪大学, 理学(系)研究科(研究院), 准教授 (90346065)
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| Co-Investigator(Kenkyū-buntansha) |
KONDO Satoshi 東京大学, カブリ数物連携宇宙研究機構, 客員准科学研究員 (30372577)
TAGUCHI Yuichiro 九州大学, 数理学研究院, 准教授 (90231399)
HIRANOUCHI Toshiro 広島大学, 理学研究科, 助教 (30532551)
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| Co-Investigator(Renkei-kenkyūsha) |
TSUJI Takeshi 東京大学, 数理科学研究科, 教授 (40252530)
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | ガロア表現 / p 進 Hodge 理論 / 多重ゼータ値 / p 進ホッジ理論 / ｐ進 Hodge 理論 / コホモロジー / 保型表現の圏 / トポス / ｐ進ホッジ理論 |
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| Outline of Final Research Achievements |
The main researcher of this project and Go Yamashita computed the reductions modulo p of two dimensional crystalline representations except for a small number of exceptions when the difference of Hodge-Tate weights are less than or equal to (p-1)/2, and investgate a proof of comparison theorem of cohomologies of open varieties over p-adic fields and prepare fundamental tools to complete the proof. He, Kazuma Akagi, and Minoru Hirose proved that the p-adic multiple zeta values of weight k belongs to the k-th PD-ideal of pZ_p, and using this, gave a upper bound of the dimension of the Q-vector space of finite multiple zeta values inroduced by Kaneko and Zagier.
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