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BFN Springer theory
Multi angle
Authors : Kamnitzer, Joel (Author of the conference)
CIRM (Publisher )
81T40 - Two-dimensional field theories, conformal field theories, etc.
81T60 - Supersymmetric field theories
CIRM (Publisher )
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Abstract :
Given a representation of a reductive group, Braverman-Finkelberg-Nakajima have defined a remarkable Poisson variety called the Coulomb branch. Their construction of this space was motivated by considerations from supersymmetric gauge theories and symplectic duality. The coordinate ring of this Coulomb branch is defined as a kind of cohomological Hall algebra; thus it makes sense to develop a type of “Springer theory” to define modules over this algebra. In this talk, we will explain this BFN Springer theory and give many examples. In the toric case, we will see a beautiful combinatorics of polytopes. In the quiver case, we will see connections to the representations of quivers over power series rings. In the general case, we will explore the relations between this Springer theory and quasimap spaces.
MSC Codes : 81T40 - Two-dimensional field theories, conformal field theories, etc.
81T60 - Supersymmetric field theories
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 25/04/2019 Conference Date : 01/04/2019 Subseries : Research talks arXiv category : Representation Theory ; Algebraic Geometry ; High Energy Physics Mathematical Area(s) : Algebra Format : MP4 (.mp4) - HD Video Time : 00:59:54 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-04-01_Kamnitzer.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.19510603Cite this video as: Kamnitzer, Joel (2019). BFN Springer theory. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19510603 URI : http://dx.doi.org/10.24350/CIRM.V.19510603 |
See Also
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- [Multi angle] Gelfand-Tsetlin theory and Coulomb branches / Author of the conference Webster, Ben.
- [Multi angle] Coulomb branches of quiver gauge theories with symmetrizers / Author of the conference Nakajima, Hiraku.
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