# (q,t)-symmetry in triangular partitions

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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