Applications to the higher category theory and the field with one element to the stable homotopy theory
| Project/Area Number |
23540084
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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 | Nagoya Institute of Technology |
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Principal Investigator |
MINAMI Norihiko 名古屋工業大学, 工学(系)研究科(研究院), 教授 (80166090)
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| Project Period (FY) |
2011-04-28 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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 | 高次圏 / ホモトピー論 / 一元体 / 代数的K理論 / トポロジカル絶縁体 / ループ空間 / トポロジカル物質 / 非可換幾何 / A_1-ホモトピー論 / F_1-スキーム / 導来代数幾何 / 岩澤理論 / A1ホモトピー論 / F1,絶対数学 |
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| Outline of Final Research Achievements |
An article of elementary number theory, which emphasized view points of the F_1-schemes (or the field with one element), was published in the journal of Number Theory.
As I picked up my level of understanding of the Morel-Voevodsky paper of the A^1-homotopy thoery, I publised its survey paper in the RIMS Kokyuroku Bessatsu. While I got intersted in apparent completely unrelated suubjects of the Bockstedt-Hsiang-Madsen algebraic K analogue of the Novikov conjecture and the topological insulators with disorder, I realized the Baum-Connes conjecture of he noncommutative geometry is a common place to be explored for bot of these researches.
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Report
(5 results)
Research Products
(35 results)
