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Symmetry of Narayana numbers and rowvacuation of root posets Hopkins, Sam
Description
I will present a conjectural way that ideas from Dynamical Algebraic Combinatorics could be used to resolve a fundamental problem in Coxeter-Catalan combinatorics: bijectively demonstrating the symmetry of the nonnesting W-Narayana numbers. This continues a project of Panyushev, whose interest in this problem led him to study rowmotion for root posets, and thus initiated a lot of the recent activity in DAC. I hope that others will become interested in this problem, and that we can "bring DAC full circle.
Item Metadata
Title |
Symmetry of Narayana numbers and rowvacuation of root posets
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2020-10-28T10:18
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Description |
I will present a conjectural way that ideas from Dynamical Algebraic Combinatorics could be used to resolve a fundamental problem in Coxeter-Catalan combinatorics: bijectively demonstrating the symmetry of the nonnesting W-Narayana numbers. This continues a project of Panyushev, whose interest in this problem led him to study rowmotion for root posets, and thus initiated a lot of the recent activity in DAC. I hope that others will become interested in this problem, and that we can "bring DAC full circle.
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Extent |
53.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of Minnesota
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Series | |
Date Available |
2021-04-27
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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 |
10.14288/1.0396975
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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