| Budget Amount *help |
¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2018: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2017: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2015: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Outline of Final Research Achievements |
I constructed the moduli space of irreuglar singular connections on algebraic curves. It was difficult to formulate the moduli of ramifeid irregular singular connections, but I succeeded in its formulation and proved that the moduli space of ramified irregular singular connections is smooth with a symplectic structure.
On the other hand, the construction of the unramified irregular singular connections is rather easy and we can construct the generalized isomonodromic deformation based on the Jimbo-Miwa-Ueno theory on the unramified moduli spaces.
I also constructed a deformation of the unramified moduli space to the regular singular moduli spaces and gave a local analytic lift of the generalized isomonodromic deformation.
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