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The Verlinde formula for Higgs bundles
Post-edited
Authors : Andersen, Jorgen Ellegaard (Author of the conference)
CIRM (Publisher )
14D20 - Algebraic moduli problems, moduli of vector bundles
14F05 - Sheaves, derived categories of sheaves and related constructions
14H10 - Families, moduli (algebraic)
14H60 - Vector bundles on curves and their moduli
22E46 - Semisimple Lie groups and their representations
57R56 - Topological quantum field theories
81T40 - Two-dimensional field theories, conformal field theories, etc.
81T45 - Topological field theories
CIRM (Publisher )
Abstract :
In this talk we will present a Verlinde formula for the quantization of the Higgs bundle moduli spaces and stacks for any simple and simply-connected group. We further present a Verlinde formula for the quantization of parabolic Higgs bundle moduli spaces and stacks. We will explain how all these dimensions fit into a one parameter family of 2D TQFT's, encoded in a one parameter family of Frobenius algebras, which we will construct.
MSC Codes : 14D20 - Algebraic moduli problems, moduli of vector bundles
14F05 - Sheaves, derived categories of sheaves and related constructions
14H10 - Families, moduli (algebraic)
14H60 - Vector bundles on curves and their moduli
22E46 - Semisimple Lie groups and their representations
57R56 - Topological quantum field theories
81T40 - Two-dimensional field theories, conformal field theories, etc.
81T45 - Topological field theories
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 26/06/2018 Conference Date : 19/06/2018 Subseries : Research talks arXiv category : Algebraic Geometry ; Mathematical Physics ; Quantum Algebra ; Representation Theory Mathematical Area(s) : Algebraic & Complex Geometry ; Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 00:57:38 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2018-06-19_Andersen.mp4 
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Information on the Event
Event Title : Gauge theory and complex geometry / Théorie de jauge et géométrie complexeEvent Organizers : Bradlow, Steven B. ; Schmidt, Alexander ; Teleman, Andrei Dates : 18/06/2018 - 22/06/2018 Event Year : 2018 Event URL : https://conferences.cirm-math.fr/1747.html
Citation Data
DOI : 10.24350/CIRM.V.19417103Cite this video as: Andersen, Jorgen Ellegaard (2018). The Verlinde formula for Higgs bundles. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19417103 URI : http://dx.doi.org/10.24350/CIRM.V.19417103 |
See Also
- [Multi angle] The large scale geometry of the Higgs bundle moduli space / Author of the conference Swoboda, Jan.
- [Multi angle] The ends of the Hitchin moduli space / Author of the conference Fredrickson, Laura.
- [Multi angle] On the motive of the stack of vector bundles on a curve / Author of the conference Hoskins, Victoria.
- [Multi angle] On Hitchin's hyperkähler metric on moduli spaces of Higgs bundles / Author of the conference Neitzke, Andrew.
Bibliography
- Andersen, J.E., Gukov, S., & Pei, D. (2017). The Verlinde formula for Higgs bundles.
