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The wave equation for Weil-Petersson metrics

By Richard Melrose

Also appears in collection : Evolution equations on singular spaces / Équations d'évolution sur les espaces singuliers

In this somewhat speculative talk I will briefly describe recent results with Xuwen Zhu on the boundary behaviour of the Weil-Petersson metric (on the moduli space of Riemann surfaces) and ongoing work with Jesse Gell-Redman on the associated Laplacian. I will then describe what I think happens for the wave equation in this context and what needs to be done to prove it.

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Citation data

  • DOI 10.24350/CIRM.V.18964903
  • Cite this video Melrose, Richard (26/04/2016). The wave equation for Weil-Petersson metrics. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18964903
  • URL https://dx.doi.org/10.24350/CIRM.V.18964903

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