Title	Geodesics in the space of Kahler metrics and volume forms
Creator	Blocki, Zbigniew
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-05-06T11:30
Description	We discuss optimal regularity of geodesics in the space of K\"ahler metrics of a compact K\"ahler manifold, as well as the space of volume forms on a compact Riemannian manifold. They are solutions of nonlinear degenerate elliptic equations: homogeneous complex Monge-Amp\`ere equation and Nahm's equation (introduced by Donaldson), respectively. The highest regularity one can expect is $C^{1,1}$.
Extent	43 minutes
Subject	Mathematics; Several complex variables and analytic spaces; Potential theory; Global analysis
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Jagiellonian University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-02-09
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0320906
URI	http://hdl.handle.net/2429/59653
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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