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H 2 Multiple Bernoulli series and volumes of moduli spaces of flat bundles over surfaces

Auteurs : Boysal, Arzu (Auteur de la Conférence)
CIRM (Editeur )

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moduli spaces of flat $G$-connections Witten's formula examples Witten's formula general moduli space of semi-stable $G$-bundles Witten series Verlinde formula derivation of volume from the Verlinde formula questions from the audience

Résumé : Using Szenes formula for multiple Bernoulli series, we explain how to compute Witten series associated to classical Lie algebras. Particular instances of these series compute volumes of moduli spaces of flat bundles over surfaces, and also certain multiple zeta values.
This is joint work with V. Baldoni and M. Vergne.

Keywords : multiple Bernoulli series; moduli spaces of flat connections; multiple zeta values

Codes MSC :
11B68 - Bernoulli and Euler numbers and polynomials
11M41 - Other Dirichlet series and zeta functions
14D20 - Algebraic moduli problems, moduli of vector bundles
17B20 - Simple, semisimple, reductive (super)algebras
32S22 - Relations with arrangements of hyperplanes
53D30 - Symplectic structures of moduli spaces
17B22 - Root systems
11M32 - Multiple Dirichlet series and zeta functions and multizeta values

    Informations sur la Vidéo

    Langue : Anglais
    Date de publication : 18/10/2018
    Date de captation : 11/10/2018
    Collection : Research talks
    Format : MP4 (.mp4) - HD
    Durée : 00:54:37
    Domaine : Number Theory ; Algebraic & Complex Geometry ; Lie Theory and Generalizations
    Audience : Chercheurs ; Doctorants , Post - Doctorants
    Download : https://videos.cirm-math.fr/2018-10-11_Boysal.mp4

Informations sur la rencontre

Nom de la rencontre : International workshop on geometric quantization and applications / Colloque international "Quantification géométrique et applications"
Organisateurs de la rencontre : Ma, Xiaonan ; Meinrenken, Eckhard ; Paradan, Paul-Emile
Dates : 08/10/2018 - 12/10/2018
Année de la rencontre : 2018
URL Congrès : https://conferences.cirm-math.fr/1867.html

Citation Data

DOI : 10.24350/CIRM.V.19463803
Cite this video as: Boysal, Arzu (2018). Multiple Bernoulli series and volumes of moduli spaces of flat bundles over surfaces. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19463803
URI : http://dx.doi.org/10.24350/CIRM.V.19463803

Voir aussi

Bibliographie

  • Baldoni, V., Boysal, A., & Vergne, M. (2015). Multiple Bernoulli series and volumes of moduli spaces of flat bundles over surfaces. Journal of Symbolic Computation, 68(2), 27-60 - https://doi.org/10.1016/j.jsc.2014.09.002



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