| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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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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