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
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2016: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
Fiscal Year 2015: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
Fiscal Year 2014: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
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| Keywords | 群の表現 / 頂点作用素代数 / 群論(含群の表現論） / 随伴多様体 / 冪零軌道 / 群論 / 表現論 |
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| 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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Report
(4 results)
Research Products
(61 results)
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[Presentation] Associated varieties of vertex algebras2016
Author(s)
Tomoyuki Arakawa
Organizer
Exact operator algebras in superconformal field theories
Place of Presentation
Perimeter Institute for Theoretical Physics, Canada
Year and Date
2016-12-14
Related Report
Int'l Joint Research / Invited
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[Presentation] Equivariant affine W-algebras2016
Author(s)
Tomoyuki Arakawa
Organizer
Nilpotent Orbits and Representation Theory
Place of Presentation
Centro di Ricerca Matematica Ennio De Giorgi (CRM), Pisa, Italy
Related Report
Int'l Joint Research / Invited
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[Presentation] 冪零軌道とW代数2014
Author(s)
荒川 知幸
Organizer
第59回代数学シンポジウム
Place of Presentation
東京大学大学院数理科学研究科
Year and Date
2014-09-08 – 2014-09-11
Related Report
Invited
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[Presentation] Minimal models of W-algebras2014
Author(s)
Tomoyuki Arakawa
Organizer
Algebraic Lie theory and representation theory
Place of Presentation
The International Centre for Mathematical Sciences (ICMS), Edinburgh, UK.
Year and Date
2014-09-01 – 2014-09-05
Related Report
Invited
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