| Budget Amount *help |
¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2015: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Outline of Final Research Achievements |
We studied the quantum symmetry of the moduli spaces, focusing on the AGT relations and its K-theoretic/difference analogue.
We achieved some explicit formulas on the quantum algebras such as quantum toroidal algebras and deformed W-algebras.
We also studied the Ringel-Hall algebra, its Drinfeld double and Bridgeland-Hall algebra of two-periodic complexes, particularly focusing on the case of coherent sheaves over a curve.
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