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The compactness problem for the Hitchin-Simpson equations He, Siqi

Description

The Hitchin-Simpson equations defined over a Kähler manifold are first order, non-linear equations for a pair of a connection on a Hermitian vector bundle and a 1-form with values in the endomorphism bundle. We will describe the behavior of solutions to the Hitchinâ Simpson equations with norms of these 1-forms unbounded. We will also discuss the deformation problem of Taubes' Z2 harmonic 1-form.

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Title
The compactness problem for the Hitchin-Simpson equations
Creator
He, Siqi
Publisher
Banff International Research Station for Mathematical Innovation and Discovery
Date Issued
2021-02-01T12:30
Description
The Hitchin-Simpson equations defined over a Kähler manifold are first order, non-linear equations for a pair of a connection on a Hermitian vector bundle and a 1-form with values in the endomorphism bundle. We will describe the behavior of solutions to the Hitchinâ Simpson equations with norms of these 1-forms unbounded. We will also discuss the deformation problem of Taubes' Z2 harmonic 1-form.
Extent
46.0 minutes
Subject
Mathematics; Algebraic Geometry; Differential Geometry
Type
Moving Image
File Format
video/mp4
Language
eng
Notes
Author affiliation: Stony Brook
Series
BIRS Workshop Lecture Videos (Banff, Alta)
Date Available
2021-08-01
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0401126
URI
http://hdl.handle.net/2429/79171
Affiliation
Non UBC
Peer Review Status
Unreviewed
Scholarly Level
Postdoctoral
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
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Attribution-NonCommercial-NoDerivatives 4.0 International