Thursday, December 10, 2020

Thursday, December 10, 2020 — 1:00 PM EST

Title: Chromatic symmetric functions of Dyck paths and $q$-rook theory

Speaker: Laura Colmenarejo Affiliation: UMass Amherst Zoom: Contact Karen Yeats

Abstract:

Given a graph and a set of colors, a coloring of the graph is a function that associates each vertex in the graph with a color. In 1995, Stanley generalized this definition to symmetric functions by looking at the number of times each color is used and extending the set of colors to $\mathbb{Z}^+$. In 2012, Shareshian and Wachs introduced a refinement of the chromatic functions for ordered graphs as $q$-analogues.

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