DMS Combinatorics Seminar

Speaker: Sean Grate (Auburn  University)

Title: The stable Tamari lattice

Abstract: The stable Tamari lattice was introduced by Haiman through the lens of invariant polynomials, extended by Bergeron-Preville-Ratelle and is a variation of the Tamari lattice. Stemming from the AMS MRC: Algebraic Combinatorics this past summer, I will describe some work in progress joint with Anna Pun, Herman Chau, Spencer Daugherty, and Juan Carlos Martínez Mori where we describe the combinatorics of this lattice. Namely, I will present properties of the lower order ideals of this lattice, the cover relations, and some enumeration problems we are tackling. I will discuss this data through some examples and Python code.