2014 Fiscal Year Final Research Report
Moduli of representations and related topics (2)
| Project/Area Number |
23540044
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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 | University of Yamanashi |
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Principal Investigator |
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| Project Period (FY) |
2011-04-28 – 2015-03-31
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| Keywords | 代数学 / 代数幾何学 / 不変式論 / 表現のモジュライ |
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| Outline of Final Research Achievements |
The paper on the construction of the moduli of representations with Borel mold has been published. As preprints, we announced the results on the construction of the moduli of representations of degree 2 for each mold and on topological properties of them for free monoids (joint work with Takeshi Torii(Okayama University)). We completed the classification on thick representations and dense representations of complex simple Lie groups (joint work with Yasuhiro Omoda (Akashi National College of Technology)). As a joint work with Takeshi Torii, we also see that the stratification of the moduli of representations with respect to Loewy series is much related with whether the moduli is polynomial count, and that each stratification is locally closed in the representation variety over any algebraically closed field.
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| Free Research Field |
数学・代数学
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