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H 2 The Verlinde formula for Higgs bundles

Auteurs : Andersen, Jorgen Ellegaard (Auteur de la Conférence)
CIRM (Editeur )

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classical Verlinde formula Higgs bundle case example of $G=SL(2,\mathbb{C})$ idea of the proof of the Higgs bundle formula genus zero case parabolic case TQFT rules complex Verlinde algebra Verlinde algebra for $SL(2,\mathbb{C})$ case speculations on a possible conformal block type construction questions from the audience

Résumé : 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.

Codes MSC :
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

    Informations sur la Vidéo

    Langue : Anglais
    Date de publication : 26/06/2018
    Date de captation : 19/06/2018
    Collection : Research talks ; Algebraic and Complex Geometry ; Mathematical Physics
    Format : MP4 (.mp4) - HD
    Durée : 00:57:38
    Domaine : Algebraic & Complex Geometry ; Mathematical Physics
    Audience : Chercheurs ; Doctorants , Post - Doctorants
    Download : https://videos.cirm-math.fr/2018-06-19_Andersen.mp4

Informations sur la rencontre

Nom de la rencontre : Gauge theory and complex geometry / ​Théorie de jauge et géométrie complexe
Organisateurs de la rencontre : Bradlow, Steven B. ; Schmidt, Alexander ; Teleman, Andrei
Dates : 18/06/2018 - 22/06/2018
Année de la rencontre : 2018
URL Congrès : https://conferences.cirm-math.fr/1747.html

Citation Data

DOI : 10.24350/CIRM.V.19417103
Cite 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

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