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Geometric Langlands correspondence and topological field theory - Part 1
Post-edited
Authors : Ben-Zvi, David (Author of the conference)
CIRM (Publisher )
20G05 - Representation theory of linear algebraic groups
22E46 - Semisimple Lie groups and their representations
14D24 - Geometric Langlands program: algebro-geometric aspects
22E57 - Geometric Langlands program: representation-theoretic aspects
CIRM (Publisher )
Abstract :
Kapustin and Witten introduced a powerful perspective on the geometric Langlands correspondence as an aspect of electric-magnetic duality in four dimensional gauge theory. While the familiar (de Rham) correspondence is best seen as a statement in conformal field theory, much of the structure can be seen in the simpler (Betti) setting of topological field theory using Lurie's proof of the Cobordism Hypothesis. In these lectures I will explain this perspective and illustrate its applications to representation theory following joint work with Nadler as well as Brochier, Gunningham, Jordan and Preygel.
MSC Codes : 20G05 - Representation theory of linear algebraic groups
22E46 - Semisimple Lie groups and their representations
14D24 - Geometric Langlands program: algebro-geometric aspects
22E57 - Geometric Langlands program: representation-theoretic aspects
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 16/04/15 Conference Date : 31/03/15 Subseries : Research talks arXiv category : Representation Theory ; Algebraic Geometry ; Quantum Algebra Mathematical Area(s) : Algebraic & Complex Geometry ; Mathematical Physics Format : QuickTime (.mov) Video Time : 01:37:49 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2015-03-31_Ben-Zvi_part1.mp4 
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Information on the Event
Event Title : Geometric Langlands and derived algebraic geometry / Langlands géométrique et la géométrie algébrique dérivéeEvent Organizers : Lysenko, Sergey ; Mirkovic, Ivan ; Riche, Simon Dates : 30/03/15 - 03/04/15 Event Year : 2015 Event URL : http://geomlanglands2015.weebly.com/
Citation Data
DOI : 10.24350/CIRM.V.18740603Cite this video as: Ben-Zvi, David (2015). Geometric Langlands correspondence and topological field theory - Part 1. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18740603 URI : http://dx.doi.org/10.24350/CIRM.V.18740603 |
See Also
- [Multi angle] Geometric Langlands correspondence and topological field theory - Part 2 / Author of the conference Ben-Zvi, David.
Bibliography
- [1] Witten, E. (2010). Geometric Langlands from six dimensions.
- [2] Lurie, J. (2009). On the classification of topological field theories.
- [3] Freed, D. (2012). The cobordism hypothesis.
- [4] Kapustin, A. (2010). Topological field theory, higher categories, and their applications.
- [5] Ben-Zvi, D., & Nadler, D. (2015). The character theory of a complex group.
- [6] Ben-Zvi, D., Brochier, A., & Jordan, D. (2015). Integrating quantum groups over surfaces: quantum character varieties and topological field theory.
