Budget Amount *help |
¥5,330,000 (Direct Cost: ¥4,100,000、Indirect Cost: ¥1,230,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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Research Abstract |
We studied mainly the discrete Painleve equations. The Lax formalism for various cases including the elliptic difference Painleve equation of type E_8 was constructed, and its geometric characterization was clarified. We constructed the corresponding Pade interpolation problem and derive simple expressions for the Painleve equation, Lax form and special solutions. Relations among the Gauge theory, conformal field theory and quantum Painleve equations were also studied.
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