BIRS Workshop Lecture Videos
Symmetry of Narayana numbers and rowvacuation of root posets Hopkins, Sam
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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