Laura Colmenarejo (NC State) - The total chromatic quasisymmetric functions of a graph

Abstract: In this talk, we discuss the Shareshian-Wachs conjecture and some recent progress in this framework. We introduce two new variants of the chromatic quasisymmetric functions, depending on labelings and acyclic orientations. We then provide explicit computations of these functions for certain families of graphs and explore various properties of these functions, including a partial deletion-near-contraction relation.