2015 Fiscal Year Final Research Report
Moduli theory and quantum algebras
| Project/Area Number |
25800014
|
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Algebra
|
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| Research Institution | Kyoto University |
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Principal Investigator |
|
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| Project Period (FY) |
2013-04-01 – 2016-03-31
|
| Keywords | 量子代数 / モジュライ空間 |
|---|
| 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.
|
| Free Research Field |
表現論、代数幾何学
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