** Speaker:** Martha Yip, University of Kentucky

** Title:** A categorification of the chromatic symmetric function

** Abstract: **
The Stanley chromatic symmetric polynomial X_G of a graph G is a symmetric function
generalization of the chromatic polynomial, and has interesting combinatorial
properties. We apply the techniques of Khovanov homology to construct a homology of
bigraded S_n-modules, whose bigraded Frobenius series reduces to the chromatic
symmetric polynomial at q=t=1. We also obtain analogues of several familiar properties
of the chromatic symmetric polynomial in terms of homology, including the decomposition
formula for X_G discovered recently by Orellana and Scott, and Guay-Paquet. This is
joint work with R. Sazdanovic.