BIRS Workshop Lecture Videos

Banff International Research Station Logo

BIRS Workshop Lecture Videos

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 Media

Item Citations and Data

Rights

Attribution-NonCommercial-NoDerivatives 4.0 International