| Project/Area Number |
24K22843
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Multi-year Fund |
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| Review Section |
0201:Algebra, geometry, analysis, applied mathematics,and related fields
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| Research Institution | Waseda University |
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Principal Investigator |
STOKES Alexander 早稲田大学, 高等研究所, 講師(任期付) (70998343)
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| Project Period (FY) |
2024-07-31 – 2026-03-31
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| Project Status |
Granted (Fiscal Year 2024)
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| Budget Amount *help |
¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2025: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2024: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Keywords | パンルヴェ方程式 / 可積分系 / 離散パンルヴェ方程式 / 有理多様体 / 双有理写像 |
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| Outline of Research at the Start |
When using mathematical models in science, problems often boil down to solving equations. Unfortunately, in many cases the equations cannot be solved exactly and the systems they describe are chaotic due to nonlinearity. However, there are special nonlinear examples known as integrable systems which exhibit regular behaviour. Often this can be explained in terms of some underlying geometric structure, for example in the case of discrete Painleve equations. This project will study examples of discrete Painleve equations in higher dimensions with a view to developing a geometric theory of them.
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