Non UBC
DSpace
Gavin Ball
2019-11-07T10:21:20Z
2019-05-07T16:00
I will talk about a special class of closed $G_2$-structures, those satisfying the `quadratic' condition. This is a second order PDE system first written down by Bryant that can be interpreted as a condition on the Ricci curvature of the induced metric, that includes the extremally Ricci-pinched (ERP) condition as a special case. I will talk about various constructions of quadratic closed $G_2$-structures, including the first examples of ERP closed $G_2$-structures that are not locally homogeneous and the first examples of quadratic closed $G_2$-structures that are not ERP. I will discuss the relationship with the Laplace flow, and give new examples of Laplace solitons.
https://circle.library.ubc.ca/rest/handle/2429/72220?expand=metadata
66.0 minutes
video/mp4
Author affiliation: Duke University
Oaxaca (Mexico : State)
10.14288/1.0385123
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
Quadratic closed $G_2$-structures
Moving Image
http://hdl.handle.net/2429/72220