| Project/Area Number |
23H00083
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| Research Category |
Grant-in-Aid for Scientific Research (A)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Review Section |
Medium-sized Section 11:Algebra, geometry, and related fields
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| Research Institution | Waseda University |
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Principal Investigator |
Guest Martin 早稲田大学, 理工学術院, 名誉研究員 (10295470)
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| Co-Investigator(Kenkyū-buntansha) |
望月 拓郎 京都大学, 数理解析研究所, 教授 (10315971)
酒井 高司 東京都立大学, 理学研究科, 教授 (30381445)
金沢 篤 早稲田大学, 理工学術院, 准教授 (40784492)
大仁田 義裕 大阪公立大学, 数学研究所, 特別研究員 (90183764)
中村 あかね 城西大学, 理学部, 准教授 (30782130)
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| Project Period (FY) |
2023-04-01 – 2028-03-31
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| Project Status |
Granted (Fiscal Year 2024)
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| Budget Amount *help |
¥39,780,000 (Direct Cost: ¥30,600,000、Indirect Cost: ¥9,180,000)
Fiscal Year 2024: ¥8,060,000 (Direct Cost: ¥6,200,000、Indirect Cost: ¥1,860,000)
Fiscal Year 2023: ¥8,320,000 (Direct Cost: ¥6,400,000、Indirect Cost: ¥1,920,000)
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| Keywords | Integrable systems / Geometry / Quantum cohomology / tt*equations |
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| Outline of Research at the Start |
This project will study integrable systems which are related to differential geometry and physics, focusing on problems where new progress is being made, such as the tt* equations, the Hitchin equations, and the harmonic map equations. As these problems involve links between different areas of geometry, it is necessary to combine integrable systems methods in an innovative way, in order to solve the relevant equations. This project will bring together specialists in several different areas, in order to attack such problems. Exploiting new links in this way is expected to lead to new progress.
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