| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Outline of Final Research Achievements |
In this study, we mainly treated the following two subjects:1)Construction of transformations for linear differential equations by means of rational approximations. 2)Isomonodromic deformations of Okubo systems and flat structures.
1) is based on joint works with Teruhisa Tsuda.We constructed Schlesinger transformations for linear differential equations by means of Hermite-Pade approximation and obtained determinant structures for solutions to isomonodromic deformations. 2) is based on joint works with Mitsuo Kato and Jiro Sekiguchi. We clarified the relation between isomonodromic deformations of Okubo systems and flat structures. As its application, we obtained flat structures on the orbit spaces of complex reflection groups and descriptions of solutions to the Painleve equation in terms of potential vector fields.
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