| Project/Area Number |
22654006
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Single-year Grants |
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| Research Field |
Algebra
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| Research Institution | Gakushuin University |
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Principal Investigator |
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| Project Period (FY) |
2010 – 2012
|
| Project Status |
Completed (Fiscal Year 2012)
|
| Budget Amount *help |
¥2,490,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥390,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥800,000 (Direct Cost: ¥800,000)
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| Keywords | 結び目 / 岩澤理論 / アレキサンダー多項式 / 代数学 / 幾何学 |
|---|
| Research Abstract |
The purpose of our research is to find analogies between knot theory in topology and Iwasawa theory in number theory, focusing on comparison of Alexander polynomials (topology side) and Iwasawa polynomials (number theory side). Studying both objects in detail, we reached some good correspondence between them. Further, aiming at finding a new property of Iwasawa polynomials through comparison to Alexander polynomials, we carried out numerical computation of zeros of Alexander polynomials.
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