New development of non-commutative number theory
| Project/Area Number |
23654015
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Algebra
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| Research Institution | Keio University |
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Principal Investigator |
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| Project Period (FY) |
2011 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | 数論 / イデアル類群 / 非可換拡大 / 整数論 / 国際研究者交流 / ドイツ |
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| Research Abstract |
We verified the non-commutative Brumer and Brumer-Stark conjectures by A. Nickel for various numerical examples for which one cannot apply the known theorems. We also studied the relationship between the non-commutative Brumer and Brumer-Stark conjectures
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Report
(3 results)
Research Products
(11 results)
