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Recent progress in anomaly flow Fei, Teng
Description
The Hull-Strominger system describes the geometry of compactifications of heterotic superstrings with flux, which can be viewed as a generalization of Ricciflat Kahler metrics on non-Kahler Calabi-Yau manifolds. To overcome the difficulty of lacking ddbar-lemma, Phong-Picard-Zhang initiated the program of Anomaly flow to understand the Hull-Strominger system. It has been proved in many cases that the Anomaly flow serves as an effective way to investigate the Hull-Strominger system and in general canonical metrics on complex manifolds, such as giving new proofs of the Calabi-Yau theorem and the existence of Fu-Yau solution. In this talk, we present some new progress on the Anomaly flow, including the behavior of Anomaly flow on generalized Calabi-Gray manifolds and a unification of the Anomaly flow with vanishing slope parameter and the Kahler-Ricci flow, which further allows us to generalize the notion of the Anomaly flow to arbitrary complex manifolds. This talk is based on joint work with Z.-J. Huang, D.H. Phong and S. Picard.
Item Metadata
Title |
Recent progress in anomaly flow
|
Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-10-29T10:51
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Description |
The Hull-Strominger system describes the geometry of
compactifications of heterotic superstrings with flux, which can be viewed
as a generalization of Ricciflat Kahler metrics on non-Kahler Calabi-Yau
manifolds. To overcome the difficulty of lacking ddbar-lemma,
Phong-Picard-Zhang initiated the program of Anomaly flow to understand the
Hull-Strominger system. It has been proved in many cases that the Anomaly
flow serves as an effective way to investigate the Hull-Strominger system
and in general canonical metrics on complex manifolds, such as giving new
proofs of the Calabi-Yau theorem and the existence of Fu-Yau solution. In
this talk, we present some new progress on the Anomaly flow, including the
behavior of Anomaly flow on generalized Calabi-Gray manifolds and a
unification of the Anomaly flow with vanishing slope parameter and the
Kahler-Ricci flow, which further allows us to generalize the notion of the
Anomaly flow to arbitrary complex manifolds. This talk is based on joint
work with Z.-J. Huang, D.H. Phong and S. Picard.
|
Extent |
54.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Columbia University
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Series | |
Date Available |
2020-04-27
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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 |
10.14288/1.0389986
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Postdoctoral
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International