| Budget Amount *help |
¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
The main results of this research are the followings.
(1) Recently, Kamnitzer gave a new realization of crystal bases of the quantized enveloping algebras of finite types, by using the theory of Mirkovic-Vilinen polytopes which has originated in geometry of affine Grassmannian varieties. In this research, we constructed an analogue of these theories for affine quantized enveloping algebras.
(2) We studied characteristic varieties of intersection cohomology complexes of Schubert varieties in type A. More explicitly, by using the method of geometric realization of crystal cases, we determined the explicit forms of these varieties in low rank cases.
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