Geometric Langlands correspondence and topological field theory - Part 1 | Vidéo | Carmin.tv

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Geometric Langlands correspondence and topological field theory - Part 1

By David Ben-Zvi

Appears in collection : Geometric Langlands and derived algebraic geometry / Langlands géométrique et la géométrie algébrique dérivée

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.

Information about the video

Date of recording 31/03/2015
Date of publication 16/04/2015
Institution CIRM
Licence CC BY NC ND
Language English
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.18740603
Cite this video Ben-Zvi, David (31/03/2015). Geometric Langlands correspondence and topological field theory - Part 1. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18740603
URL https://dx.doi.org/10.24350/CIRM.V.18740603

Domain(s)

Bibliography

[1] Witten, E. (2010). Geometric Langlands from six dimensions. <arXiv:0905.2720> - http://arxiv.org/abs/0905.2720
[2] Lurie, J. (2009). On the classification of topological field theories. <arXiv:0905.0465> - http://arxiv.org/abs/0905.0465
[3] Freed, D. (2012). The cobordism hypothesis. <arXiv:1210.5100> - http://arxiv.org/abs/1210.5100
[4] Kapustin, A. (2010). Topological field theory, higher categories, and their applications. <arXiv:1004.2307> - http://arxiv.org/abs/1004.2307
[5] Ben-Zvi, D., & Nadler, D. (2015). The character theory of a complex group. <arXiv:0904.1247> - http://arxiv.org/abs/0904.1247
[6] Ben-Zvi, D., Brochier, A., & Jordan, D. (2015). Integrating quantum groups over surfaces: quantum character varieties and topological field theory. <arXiv:1501.04652> - http://arxiv.org/abs/1501.04652

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