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

By Arzu Boysal

Appears in collection : International workshop on geometric quantization and applications / Colloque international "Quantification géométrique et applications"

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.

Information about the video

Citation data

  • DOI 10.24350/CIRM.V.19463803
  • Cite this video Boysal, Arzu (11/10/2018). Multiple Bernoulli series and volumes of moduli spaces of flat bundles over surfaces. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19463803
  • URL https://dx.doi.org/10.24350/CIRM.V.19463803

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

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