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Multiple Bernoulli series and volumes of moduli spaces of flat bundles over surfaces
Post-edited
Authors : Boysal, Arzu (Author of the conference)
CIRM (Publisher )
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
CIRM (Publisher )
Abstract :
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
MSC Codes : This is joint work with V. Baldoni and M. Vergne.
Keywords : multiple Bernoulli series; moduli spaces of flat connections; multiple zeta values
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
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 18/10/2018 Conference Date : 11/10/2018 Subseries : Research talks arXiv category : Representation Theory ; Algebraic Geometry ; Computational Geometry Mathematical Area(s) : Number Theory ; Algebraic & Complex Geometry ; Lie Theory and Generalizations Format : MP4 (.mp4) - HD Video Time : 00:54:37 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2018-10-11_Boysal.mp4 
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Information on the Event
Event Title : International workshop on geometric quantization and applications / Colloque international "Quantification géométrique et applications"Event Organizers : Ma, Xiaonan ; Meinrenken, Eckhard ; Paradan, Paul-Emile Dates : 08/10/2018 - 12/10/2018 Event Year : 2018 Event URL : https://conferences.cirm-math.fr/1867.html
Citation Data
DOI : 10.24350/CIRM.V.19463803Cite 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 |
See Also
- [Multi angle] Homogeneous vector bundles over abelian varieties / Author of the conference Brion, Michel.
- [Multi angle] Poisson-Lie duality and Langlands duality via Bohr-Sommerfeld / Author of the conference Alekseev, Anton.
- [Multi angle] Quantum footprints of symplectic rigidity / Author of the conference Polterovich, Leonid.
- [Multi angle] Geometric quantization of toric and semitoric systems / Author of the conference Miranda, Eva.
Bibliography
- 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
