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A geometric $R$-matrix for the Hilbert scheme of points on a general surface
Multi angle
Authors : Arbesfeld, Noah (Author of the conference)
CIRM (Publisher )
17B05 - Structure theory of Lie algebras
17B37 - Quantum groups and related deformations
17B62 - Lie bialgebras; Lie coalgebras
17B68 - Virasoro and related algebras
CIRM (Publisher )
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Abstract :
We explain how to use a Virasoro algebra to construct a solution to the Yang-Baxter equation acting in the tensor square of the cohomology of the Hilbert scheme of points on a generalsurface $S$. In the special case where the surface $S$ is $C^2$, the construction appears in work of Maulik and Okounkov on the quantum cohomology of symplectic resolutions and recovers their $R$-matrix constructed using stable envelopes.
MSC Codes : 17B05 - Structure theory of Lie algebras
17B37 - Quantum groups and related deformations
17B62 - Lie bialgebras; Lie coalgebras
17B68 - Virasoro and related algebras
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 24/04/2019 Conference Date : 05/04/2019 Subseries : Research talks arXiv category : Algebraic Geometry Mathematical Area(s) : Algebraic & Complex Geometry ; Algebra Format : MP4 (.mp4) - HD Video Time : 01:02:49 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-04-05_Arbesfeld.mp4 
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Information on the Event
Event Title : Symplectic representation theory / Théorie symplectique des représentationsEvent Organizers : Bellamy, Gwyn ; Ben-Zvi, David ; Schedler, Travis ; Schiffmann, Olivier ; Shan, Peng Dates : 01/04/2019 - 05/04/2019 Event Year : 2019 Event URL : https://conferences.cirm-math.fr/1956.html
Citation Data
DOI : 10.24350/CIRM.V.19513803Cite this video as: Arbesfeld, Noah (2019). A geometric $R$-matrix for the Hilbert scheme of points on a general surface. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19513803 URI : http://dx.doi.org/10.24350/CIRM.V.19513803 |
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