2015 Fiscal Year Final Research Report
| Project/Area Number |
24684001
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| Research Category |
Grant-in-Aid for Young Scientists (A)
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| Allocation Type | Partial Multi-year Fund |
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| Research Field |
Algebra
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| Research Institution | Nagoya University |
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Principal Investigator |
Furusho Hidekazu 名古屋大学, 多元数理科学研究科, 准教授 (60377976)
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| Project Period (FY) |
2012-04-01 – 2016-03-31
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| Keywords | モチヴィック基本群 / Teichmuller-Legoの哲学 / 多重ゼータ値 / Kashiwara-Vergne予想 / 結び目理論 |
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| Outline of Final Research Achievements |
This research was mainly focused on the study of associators and multiple zeta values which are essential in the study of motivic Galois group of unramified mixed Tate motives:1. We pursued various topics related to associators, in particular a relationship caused by associators between knot theory and number theory. We revealed a hidden arithmetic structure of the space of knots by constructing an action of the absolute Galois group of the rational number field. 2. In our joint work with analytic number theorists, we produced a method of desingularization of complex multiple zeta functions and also a construction of p-adic multiple zeta functions.
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| Free Research Field |
代数学
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