Motivic Galois group(Fostering Joint International Research)
| Project/Area Number |
15KK0159
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| Research Category |
Fund for the Promotion of Joint International Research (Fostering Joint International Research)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Algebra
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| Research Institution | Nagoya University |
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Principal Investigator |
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| Project Period (FY) |
2016 – 2019
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| Project Status |
Completed (Fiscal Year 2019)
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| Budget Amount *help |
¥14,300,000 (Direct Cost: ¥11,000,000、Indirect Cost: ¥3,300,000)
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| Keywords | モチヴィックガロア群 / 多重ゼータ値 / associators / double shuffle関係式 / モチッヴィクガロア群 / associator / Teichmuller-Legoの哲学 / Double shuffle関係式 / モチヴィック基本群 / Kashiwara-Vergne予想 |
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| Outline of Final Research Achievements |
To make clearer a relationship of the motivic Galois group with various fields of mathematics, I conducted researches, particularly on multiple zeta values and associators, and obtained the following results:
geometric interpretation of the harmonic coproduct of multiple zeta values and constructions of its Betti counterpart, a method to calculate coefficients of the Alekseev-Torossian associator, relationship of associator relations and relations among multiple zeta values obtained in knot theory, relations between p-adic multiple L-functions and cyclotomic multiple harmonic values.
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| Academic Significance and Societal Importance of the Research Achievements |
モチヴィックガロア群の研究は数論幾何学のみならず、様々な分野と関連していることが概念的に指摘されている。多重ゼータ値等の非常に具体的な対象を通じて研究することで、この繋がりはより直接的になり、またより明らかなものになる。
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Report
(5 results)
Research Products
(39 results)
