2015 Fiscal Year Final Research Report
Study of foundation and applications of cluster algebras
| Project/Area Number |
23540012
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Nagoya University |
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Principal Investigator |
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| Project Period (FY) |
2011-04-28 – 2016-03-31
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| Keywords | 団代数 / 完全WKB解析 / 二重対数関数 |
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| Outline of Final Research Achievements |
We studied the foundation and applications of cluster algebras, and we obtained the following results as a part of the research result.
A. Applications to dilogarithm identity and quantum dilogarithm identity, B. Classification of c-vectors and d-vectors of cluster algebras of finite type, C. Applications to exact WKB analysis, D. Study of fundamental properties of generalized cluster algebras and formulation of quantum generalized cluster algebras.
These results are based on joint works with Rinat Kashaev, Salvatore Stella, and Kohei Iwaki.
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| Free Research Field |
代数学
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