Title	Gaussian measures no spaces of metrics
Creator	Jakobson, Dmitry
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2013-08-05
Description	The first part of the talk is joint work in progress with B. Clarke, N. Kamran, L. Silberman and J. Taylor. We define Gaussian measures on manifolds of metrics with the fixed volume form. We next compute the moment generating function for the L2 (Ebin) distance to the reference metric.\\r\\n\\r\\nThe second part of the talk is joint work with Linan Chen. We use the two-dimensional approach of Duplantier-Sheffield to define a 4- dimensional analogue of Gaussian Free Field, and use it to construct a canonical measure on a conformal class of metrics in R4. We derive a KPZ type relation for those measures.
Extent	46 minutes
Subject	Mathematics; Differential geometry; Manifolds and cell complexes
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: McGill University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2014-08-06
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivs 2.5 Canada
DOI	10.14288/1.0043477
URI	http://hdl.handle.net/2429/49423
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/2.5/ca/
Aggregated Source Repository	DSpace

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