| Budget Amount *help |
¥8,710,000 (Direct Cost: ¥6,700,000、Indirect Cost: ¥2,010,000)
Fiscal Year 2019: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2018: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2017: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2016: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
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| Outline of Final Research Achievements |
In this research, from algebraic, geometric and combinatorial view points, we generalize the usual cohomology theoretic symmetric functions which appear in Schubert calculus to equivariant K-theory. Furthermore we consider analogous objects in generalized cohomology theory and complex reflection group setting and study the relations via their generating functions. Another achievement is a generalization of hook formula. From these results, we get new perspectives on algebra, geometry and combinatorics.
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