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Quantum character varieties and $q$-Askey scheme Mazzocco, Marta
Description
The Askeyâ Wilson polynomials are a special case of Macdonald polynomials; their degenerations are organised into a hierarchy called $q$-Askey scheme. In this talk the speaker will give a new approach to study degenerations as well as dualities in the $q$-Askey scheme, based on the fact that all families of polynomials in the $q$-Askey scheme admit a certain algebra of symmetries (the Zhedanov algebra and its degenerations) and in the limit as $q\to 1$ this algebra becomes the coordinate ring of a certain subalgebra of a quantum object that we call quantum cusped character variety.
Item Metadata
Title |
Quantum character varieties and $q$-Askey scheme
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-09-11T13:30
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Description |
The Askeyâ Wilson polynomials are a special case of Macdonald polynomials; their degenerations are organised into a hierarchy called $q$-Askey scheme. In this talk the speaker will give a new approach to study degenerations as well as dualities in the $q$-Askey scheme, based on the fact that all families of polynomials in the $q$-Askey scheme admit a certain algebra of symmetries (the Zhedanov algebra and its degenerations) and in the limit as $q\to 1$ this algebra becomes the coordinate ring of a certain subalgebra of a quantum object that we call quantum cusped character variety.
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Extent |
58.0
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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 Birmingham
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Series | |
Date Available |
2019-03-17
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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 |
10.14288/1.0377037
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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-NoDerivatives 4.0 International