| Project/Area Number |
10440019
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Geometry
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| Research Institution | Nara Women's University (1999)
Kyoto University of Education (1998) |
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Principal Investigator |
MORIMOTO Tohru Nara Women's Univ., Faculty of Science, Professor, 理学部, 教授 (80025460)
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| Co-Investigator(Kenkyū-buntansha) |
OMORI Hideki Science University of Tokyo, Faculty of Sci., Associate Prof., 理工学部, 教授 (20087018)
ISHIKAWA Goo Hokkaido Univ., Graduate school of Science, Associate Prof., 大学院・理学研究科, 助教授 (50176161)
YAMAGUCHI Keizo Hokkaido Univ., Graduate school of Science, Professor, 大学院・理学研究科, 教授 (00113639)
SATO Hajime Nagoya University, Graduate School of Math., Prof., 大学院・多元数理, 教授 (30011612)
KANEYUKI Soji Sophia University, Fac. of Sci. and Tech., Prof., 理工学部, 教授 (40022553)
佐々木 武 神戸大学, 理学部, 教授 (00022682)
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| Project Period (FY) |
1998 – 1999
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| Project Status |
Completed (Fiscal Year 1999)
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| Budget Amount *help |
¥4,600,000 (Direct Cost: ¥4,600,000)
Fiscal Year 1999: ¥2,500,000 (Direct Cost: ¥2,500,000)
Fiscal Year 1998: ¥2,100,000 (Direct Cost: ¥2,100,000)
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| Keywords | nilpotent geometry / nilpotent analysis / Monge-Ampere equation / Sophus Lie / geometric structure / 巾零幾何 / 巾零解析 / ソフィス・リ- / 微分方程式の幾何 / Sophus Lie / 微分方程式 / Monge-Ampere方程式 |
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| Research Abstract |
We have developed geometric and group-theoretic studies of differential equations, in particular on Monge-Ampere equations, systems of ordinary differential equations, and holonomic systems, in which played a fundamental role the method of nilpotent geometry and analysis developed by N.Tanaka and T.Morimoto.
On the occasion of centennial after the death of Sophus Lie, we have organized an International Conference on Lie Groups, Geometric Structures, and Differential Equations -One Hundred Years after Sophus Lie - in Kyoto and Nara from the 13ィイD1thィエD1 to 21ィイD1stィエD1 December, 1999 (Organizers : B.Komrakov, M.Kuranishi, B.Malgrange, T.Morimoto(chairman), H.Sato and K.Yamaguchi).
There were given 32 one-hour lectures by 19 mathematicians from abroad and 13 from Japan. More than 120 mathematicians have taken part in this conference. We shall publish the proceedings of the conference first in Kokyuroku(lecture note) of Research Institute for Mathematical Science, Kyoto University and then as a more expanded version in the series of Advanced Studies in Pure Mathematics.
Preparatory to this international conference, we have held, in co-operation with International Sophus Lie Center, Japanese-Russian workshop "Towards 100 years after Sophus Lie" in Kazan, Russia from the 7ィイD1thィエD1 to 17ィイD1thィエD1 September, 1998. About 30 participants (11 Japanese) have exchanged their recent research on Lie groups, geometric structures, differential equations and representation theory.
As the proceedings to this workshop there have been published in Lobachevskii Journal of Mathematics 3, 4 (1999) twenty-three papers contributed by the participants.
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