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$S^1$ invariant Laplacian flow Fowdar, Udhav
Description
The Laplacian flow is an evolution equation of closed $G_2$-structures arising as the gradient flow of the so-called Hitchin volume functional. In this talk, we shall consider the flow of those $G_2$ structures admitting $S^1$ symmetry and derive explicitly the evolution equations of the $\mathrm{SU}(3)$-structure on the quotient manifold together with a connection 1-form. We describe these equations in a couple of examples and mention some partial results of ongoing work.
Item Metadata
| Title |
$S^1$ invariant Laplacian flow
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2019-05-08T11:00
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| Description |
The Laplacian flow is an evolution equation of closed $G_2$-structures arising as the gradient flow of the so-called Hitchin volume functional. In this talk, we shall consider the flow of those $G_2$ structures admitting $S^1$ symmetry and derive explicitly the evolution equations of the $\mathrm{SU}(3)$-structure on the quotient manifold together with a connection 1-form. We describe these equations in a couple of examples and mention some partial results of ongoing work.
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| Extent |
63.0 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: University College London
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| Series | |
| Date Available |
2021-01-18
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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| DOI |
10.14288/1.0395641
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Graduate
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International