Nodal degeneration of hyperbolic metrics and application to Weil-Petersson metric on the moduli space
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About this item
| Description: |
Zhu, X (Massachusetts Institute of Technology)
Tuesday 28 July 2015, 10:00-11:00 |
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| Created: | 2015-07-31 16:29 |
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| Collection: | Metric and Analytic Aspects of Moduli Spaces |
| Publisher: | Isaac Newton Institute |
| Copyright: | Zhu, X |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | 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 Mg. |
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