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H 2 Geometric Langlands correspondence and topological field theory - Part 1

Auteurs : Ben-Zvi, David (Auteur de la Conférence)
CIRM (Editeur )

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quantum field theory motivation topological field theory cobordism hypothesis C-linear higher categories compactification and dimensional reduction boundary conditions low dimensional examples representations of finite groups cyclic homology question on compact groups question on Chern character

Résumé : 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.

Codes MSC :
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

    Informations sur la Vidéo

    Langue : Anglais
    Date de publication : 16/04/15
    Date de captation : 31/03/15
    Collection : Research talks ; Algebraic and Complex Geometry ; Mathematical Physics
    Format : QuickTime (.mov) Durée : 01:37:49
    Domaine : Algebraic & Complex Geometry ; Mathematical Physics
    Audience : Chercheurs ; Doctorants , Post - Doctorants
    Download : https://videos.cirm-math.fr/2015-03-31_Ben-Zvi_part1.mp4

Informations sur la rencontre

Nom de la rencontre : Geometric Langlands and derived algebraic geometry / Langlands géométrique et la géométrie algébrique dérivée
Organisateurs de la rencontre : Lysenko, Sergey ; Mirkovic, Ivan ; Riche, Simon
Dates : 30/03/15 - 03/04/15
Année de la rencontre : 2015
URL Congrès : http://geomlanglands2015.weebly.com/

Citation Data

DOI : 10.24350/CIRM.V.18740603
Cite 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

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