(q,t)-symmetry in triangular partitions
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.