University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Nodal degeneration of hyperbolic metrics and application to Weil-Petersson metric on the moduli space

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

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact webseminars.

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.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2021 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity