algebraic cobordism and motivic cohomology
| Project/Area Number |
20540061
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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 |
Geometry
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| Research Institution | Ibaraki University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
OKAYASU Takashi 茨城大学, 教育学部, 教授 (00191958)
KUDOU Kenji 茨城大学, 教育学部, 講師 (00114017)
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| Project Period (FY) |
2008 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 代数的同境界理論 / モチビックコホモロジー / 分類空間 / BP-理論 |
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| Research Abstract |
Firstly, by using geometric arguments, we compute algebraic cobordism, next we compute motivic cohomology using fields theories. The concrete spaces which we can compute are classifying spaces, for example, BU(n), BO(n) and quadrics, in particular over the real number field.
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Report
(6 results)
Research Products
(24 results)
