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Regularity of limit curves of Anosov representations Zhang, Tengren
Description
Anosov representations are representations of a hyperbolic group to a non-compact semisimple Lie group that are ``geometrically well-behaved''. In the case when the target Lie group is $\mathrm{PGL}(d,\mathbb{R})$, these representations admit a limit set in $d-1$ dimensional projective space that is homeomorphic to the boundary of the group. Under some irreducibility conditions, we give necessary and sufficient conditions for when this limit set is a $C^{1,a}$ sub manifold. This is joint work with A.Zimmer.
Item Metadata
Title |
Regularity of limit curves of Anosov representations
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-12-09T16:01
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Description |
Anosov representations are representations of a hyperbolic group to a non-compact semisimple Lie group that are ``geometrically well-behaved''. In the case when the target Lie group is $\mathrm{PGL}(d,\mathbb{R})$, these representations admit a limit set in $d-1$ dimensional projective space that is homeomorphic to the boundary of the group. Under some irreducibility conditions, we give necessary and sufficient conditions for when this limit set is a $C^{1,a}$ sub manifold. This is joint work with A.Zimmer.
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Extent |
32.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: National University of Singapore
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Series | |
Date Available |
2020-09-06
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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 |
10.14288/1.0394215
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Researcher
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International