UBC Discrete Math Seminar: Peter McNamara

  • Date: 02/09/2021
  • Time: 16:00
Peter McNamara, Bucknell University



From Dyck paths to standard Young tableaux


Dyck paths and standard Young tableaux (SYT) are two of the most central sets in combinatorics. There is a well-known bijection between Dyck paths with 2n steps and SYT of shape (n,n). In recent work, we found nine other bijections between classes of Dyck paths and classes of SYT. I will present my favorites. Along the way, we will encounter connected matchings, non-crossing partitions and non-nesting partitions.

This is joint work with Juan Gil, Jordan Tirrell and Michael Weiner.

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