Français
Skeins, clusters, and character sheaves
Multi angle
Authors : Jordan, David (Author of the conference)
CIRM (Publisher )
17B37 - Quantum groups and related deformations
58B32 - Geometry of quantum groups
16TXX - Hopf algebras, quantum groups and related topics
13F60 - Cluster algebras
CIRM (Publisher )
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Abstract :
Skein algebras are certain diagrammatically defined algebras spanned by tangles drawn on the cylinder of a surface, with multiplication given by stacking diagrams. Quantum cluster algebras are certain systems of mutually birational quantum tori whose defining relations are encoded in a quiver drawn on the surface. The category of quantum character sheaves is a $q$-deformation of the category of ad-equivariant $D$-modules on the group $G$, expressed through an algebra $D_q (G)$ of “q-difference” operators on $G$.
In this I talk I will explain that these are in fact three sides of the same coin – namely they each arise as different flavors of factorization homology, and hence fit in the framework of four-dimensional topological field theory.
MSC Codes : In this I talk I will explain that these are in fact three sides of the same coin – namely they each arise as different flavors of factorization homology, and hence fit in the framework of four-dimensional topological field theory.
17B37 - Quantum groups and related deformations
58B32 - Geometry of quantum groups
16TXX - Hopf algebras, quantum groups and related topics
13F60 - Cluster algebras
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 18/04/2019 Conference Date : 02/04/2019 Subseries : Research talks arXiv category : Quantum Algebra ; Geometric Topology ; Representation Theory Mathematical Area(s) : Algebra ; Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 01:03:31 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-04-02_Jordan.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.19511303Cite this video as: Jordan, David (2019). Skeins, clusters, and character sheaves. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19511303 URI : http://dx.doi.org/10.24350/CIRM.V.19511303 |
See Also
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Bibliography
