2016 Fiscal Year Final Research Report
Geometric methods in vertex algebras
| Project/Area Number |
26610006
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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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) |
2014-04-01 – 2017-03-31
|
| Keywords | 群の表現 / 頂点作用素代数 |
|---|
| Outline of Final Research Achievements |
We introduced the notion of the asymptotic algebra of the chiral differential operators and realized the simple affine W-algebras at the critical level as the global section of the asymptotic algebra of the chiral differential operators on the jet scheme of Slodowy varieties (joint work with T. Kuwabara and F. Malikov). Also, we studied the modular representation theory of affine Kac-Moody algebras via Wakimoto modules (joint work with W. Wang).
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| Free Research Field |
表現論
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