Non UBC
DSpace
Fabian Lehmann
2019-11-06T11:13:42Z
2019-05-09T09:00
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.
https://circle.library.ubc.ca/rest/handle/2429/72204?expand=metadata
60.0 minutes
video/mp4
Author affiliation: University College London
Oaxaca (Mexico : State)
10.14288/1.0385103
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Graduate
BIRS Workshop Lecture Videos (Oaxaca (Mexico : State))
Mathematics
Differential Geometry, Geometry, Differential Geometry
Cohomogeneity one manifolds with holonomy $G_2$ and Spin(7)
Moving Image
http://hdl.handle.net/2429/72204