Title	Cohomogeneity one manifolds with holonomy $G_2$ and Spin(7)
Creator	Lehmann, Fabian
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-05-09T09:00
Description	One of the most important ideas in the study of differential equations is the use of symmetries to cut down the number of variables. As manifolds with exceptional holonomy cannot be homogeneous the most symmetric case are group actions with cohomogeneity one, i.e. where a generic orbit has codimension one. In this case the PDE system is reduced to an ODE system. I will give an overview of recent progress in the construction of cohomogeneity one metrics with holonomy $G_2$ and Spin(7). All complete examples have a asymptotically locally conical (ALC) or asymptotically conical (AC) geometry at infinity.
Extent	60.0 minutes
Subject	Mathematics; Differential geometry; Geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University College London
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-11-06
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0385103
URI	http://hdl.handle.net/2429/72204
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Graduate
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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