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

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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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I4 Seminar Room, Corpus Christi College Registration: bit.ly/2PMNjMS Anglia Ruskin University, East Road, Cambridge CB11PT - Science Centre, SCI105

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