Multiple Polylogarithms and Multiple Zeta Values
| Project/Area Number |
19540056
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Waseda University |
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Principal Investigator |
UENO Kimio Waseda University, 理工学術院, 教授 (70160190)
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| Project Period (FY) |
2007 – 2009
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| Project Status |
Completed (Fiscal Year 2009)
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| Budget Amount *help |
¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2007: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 多重対数関数 / 多重ゼータ値 / KZ方程式 / Drinfeld Associator / ドリンフェルト・アソシエータ |
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| Research Abstract |
We studied on the harmonic product of multiple polylogarithms, multiple zeta-values, through the decomposition theorem and the transformation theory for the fundamental solutions of the formal KZ equation defined on the moduli space M_<0,5>, from the viewpoint of the geometry of the muduli space.
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Report
(4 results)
Research Products
(12 results)
