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Renormalized Volume for Singular Yamabe Metrics Graham, Robin

Description

I will begin by reviewing the renormalized volume for Poincaré-Einstein metrics. I will then discuss an analogous construction of renormalized volume for singular Yamabe (a.k.a. Loewner-Nirenberg) metrics. I will conclude by describing joint work with Matt Gursky concerning an unexpected invariance property of the renormalized volume for singular Yamabe metrics in dimension $4$ related to the Chern-Gauss-Bonnet formula and related phenomena for solutions of a singular $\sigma_2$ Yamabe problem.

Item Metadata

Title
Renormalized Volume for Singular Yamabe Metrics
Creator
Graham, Robin
Publisher
Banff International Research Station for Mathematical Innovation and Discovery
Date Issued
2018-05-14T08:57
Description
I will begin by reviewing the renormalized volume for Poincaré-Einstein metrics. I will then discuss an analogous construction of renormalized volume for singular Yamabe (a.k.a. Loewner-Nirenberg) metrics. I will conclude by describing joint work with Matt Gursky concerning an unexpected invariance property of the renormalized volume for singular Yamabe metrics in dimension $4$ related to the Chern-Gauss-Bonnet formula and related phenomena for solutions of a singular $\sigma_2$ Yamabe problem.
Extent
78.0
Subject
Mathematics; Global analysis, analysis on manifolds; Relativity and gravitational theory; Global analysis
Type
Moving Image
File Format
video/mp4
Language
eng
Notes
Author affiliation: University of Washington
Series
BIRS Workshop Lecture Videos (Banff, Alta)
Date Available
2019-03-20
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0377269
URI
http://hdl.handle.net/2429/69029
Affiliation
Non UBC
Peer Review Status
Unreviewed
Scholarly Level
Faculty
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
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DSpace

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Attribution-NonCommercial-NoDerivatives 4.0 International