Professor John Shareshian will speak at the American Mathematical Society's 2026 Spring Southeastern Sectional Meeting.
Prof. Shareshian will present on Saturday, March 28 at Georgia Southern University-Armstrong Campus in Savannah, Georgia. His talk will address chromatic symmetric functions, Hessenberg varieties, and representations of type A Hecke algebras. Read the abstract below:
"Motivated by a conjecture of John Stembridge about immanants of certain matrices whose entries are symmetric functions, Richard Stanley and Stembridge posed a conjecture about chromatic symmetric functions of certain graphs, known as indifference graphs. This conjecture was settled recently by Tatsuyuki Hikita. Before Hikita’s work, the Stanley-Stembridge Conjecture motivated work by combinatorialists and geometers, through its connections with representation theory of symmetric groups and type A Hecke algebras and with a class of subvarieties of the type A flag variety known as Hessenberg varieties. I will present a survey of the work arising from these connections and some problems that remain to be solved."
This talk is organized by Prof. Brian D. Boe, University of Georgia.
