| Budget Amount *help |
¥17,160,000 (Direct Cost: ¥13,200,000、Indirect Cost: ¥3,960,000)
Fiscal Year 2023: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2022: ¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2021: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2020: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2019: ¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
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| Outline of Final Research Achievements |
We have established basic theory of semi-infinite flag manifolds, that contains a major portion of standard results known in the setting of usual flag manifolds. During this process, we have spelled out deep relationship between representation theory of affine Lie algebras, that enables us to tell what the semi-infinite flag manifolds is and why one can expect nice properties about them. In addition, we have established the relation among the K-group of semi-infinite flag manifolds, the quantum K-group of flag manifolds, and the K-group of affine Grassmannians.
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