(q,t)-symmetry in triangular partitions

-- Loïc Le Mogne (LISN, Galac)

Time: 11:00 -- Location: Salle Philippe Flajolet du LIX

We study the \((q,t)\) enumeration of the Triangular Dyck paths, i.e. the sub-partitions of the so-called triangular partitions discussed by Bergeron and Mazin. This is a generalization of the general \((q,t)\) enumeration of Catalan objects. We present new combinatorial notions such as the triangular tableau and the deficit statistic and prove the \(q,t\) symmetry and Schur positivity for \(2\)-partitions.

Category: seminars
Tags: Combi seminar combinatorics