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Gelfand-Tsetlin theory and Coulomb branches
Multi angle
Authors : Webster, Ben (Author of the conference)
CIRM (Publisher )
17B10 - Representations of Lie algebras, algebraic theory
17B37 - Quantum groups and related deformations
CIRM (Publisher )
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Abstract :
The algebra $U(gl_n)$ contains a famous and beautiful commutative subalgebra, called the Gelfand-Tsetlin subalgebra. One problem which has attracted great attention over the recent decades is to classify the simple modules on which this subalgebra acts locally finitely (the Gelfand-Tsetlin modules). In investigating this question, Futorny and Ovsienko expanded attention to a generalization of these algebras, saddled with the unfortunate name of “principal Galois orders”. I'll explain how all interesting known examples of these (and some unknown ones, such as the rational Cherednik algebras of $G(l,p,n)!)$ are the Coulomb branches of N = 4 3D gauge theories, and how this perspective allows us to classify the simple Gelfand-Tsetlin modules for $U(gl_n)$ and Cherednik algebras and explain the Koszul duality between Higgs and Coulomb categories O.
MSC Codes : 17B10 - Representations of Lie algebras, algebraic theory
17B37 - Quantum groups and related deformations
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 18/04/2019 Conference Date : 01/04/2019 Subseries : Research talks arXiv category : Rings and Algebras Mathematical Area(s) : Algebra Format : MP4 (.mp4) - HD Video Time : 00:59:44 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-04-01_Webster.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.19510803Cite this video as: Webster, Ben (2019). Gelfand-Tsetlin theory and Coulomb branches. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19510803 URI : http://dx.doi.org/10.24350/CIRM.V.19510803 |
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Bibliography
- Webster, B. (2019). Gelfand-Tsetlin modules in the Coulomb context. arXiv:1904.05415 - https://arxiv.org/abs/1904.05415
