2013 Fiscal Year Final Research Report
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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| 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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