Title	The asymptotics of the Weil-Petersson metrics and the application to the curvature expansion
Creator	Zhu, Xuwen
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-12-14T11:30
Description	The Weil-Petersson metrics on the Riemann moduli spaces of complex structures for an $n$-fold punctured oriented surface of genus $g,$ in the stable range $g+2n>2,$ are shown to have complete asymptotic expansions in terms of Fenchel-Nielsen coordinates at the exceptional divisors of the Knudsen-Deligne-Mumford compactification. The results are then applied to obtain the asymptotic expansions of the Ricci curvature and the sectional curvature of the moduli spaces. This is joint work with Richard Melrose.
Extent	28 minutes
Subject	Mathematics; Geometry; Partial differential equations; Differential geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Stanford University
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-06-13
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0348237
URI	http://hdl.handle.net/2429/61938
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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