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Geometrization of branched coverings of the sphere and decidability of Thurston equivalence Yampolsky, Michael
Description
I will discuss a recent result obtained jointly with M. Braverman and S. Bonnot on the algorithmic decidability of the question whether a postcritically finite branched covering map of the 2-sphere is Thurston equivalent to a rational map. I will further describe the connection of the general question of algorithmic decidability of Thurston equivalence with geometrization of branched coverings, and will present a new theo- rem joint with N. Selinger on an algorithmic construction of a canonical geometrization of a branched covering.
Item Metadata
Title |
Geometrization of branched coverings of the sphere and decidability of Thurston equivalence
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2013-08-08
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Description |
I will discuss a recent result obtained jointly with M. Braverman and S. Bonnot on the algorithmic decidability of the question whether a postcritically finite branched covering map of the 2-sphere is Thurston equivalent to a rational map. I will further describe the connection of the general question of algorithmic decidability of Thurston equivalence with geometrization of branched coverings, and will present a new theo- rem joint with N. Selinger on an algorithmic construction of a canonical geometrization of a branched covering.
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Extent |
45 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 of Toronto
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Series | |
Date Available |
2014-08-06
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivs 2.5 Canada
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DOI |
10.14288/1.0043488
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivs 2.5 Canada