Nodal degeneration of hyperbolic metrics and application to Weil-Petersson metric on the moduli space

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• Zhu, X (Massachusetts Institute of Technology)
• Tuesday 28 July 2015, 10:00-11:00
• Seminar Room 1, Newton Institute.

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Metric and Analytic Aspects of Moduli Spaces

This is joint work with Richard Melrose. We analyze the behavior of the Laplacian on the fibres of a Lefschetz fibration and use it to describe the behavior of the constant curvature metric on a Riemann surface of genus $>1$ undergoing nodal degeneration. We apply this to deduce the asymptotics of the Weil-Petersson metric on the moduli space $mathcal{M}_g$.

This talk is part of the Isaac Newton Institute Seminar Series series.

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