Study on chromatic phenomena in the stable homotopy category
| Project/Area Number |
23540094
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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 |
Geometry
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| Research Institution | Kochi University |
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Principal Investigator |
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| Project Period (FY) |
2011 – 2013
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 位相幾何学 / 安定ホモトピー論 / 彩色理論 |
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| Research Abstract |
We tried to find a clue for the Hopkins' chromatic splitting conjecture by considering the Johnson-Wilson homology E(n)_* of Ravenel spectrum T(m).
Our achievement is a result on the Adams-Novikov spectral sequence converging to the homotopy groups of the E(n)-localized T(m) as well as a result on the homotopy groups of the E(n)-localized sphere, and the determination of the Bousfield lattice associated with the stable homotopy category where the chromatic splitting conjecture is.
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Report
(4 results)
Research Products
(55 results)
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[Presentation] β元の積について2013
Author(s)
加藤諒, 下村克己
Organizer
2013年度日本数学会秋季総合分科会
Place of Presentation
愛媛大学
Year and Date
2013-09-26
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