Combinatorics Seminar: "Singularities of regular Hessenberg varieties"

Abstract: Regular Hessenberg varieties are subvarieties of the flag variety with important connections to representation theory, algebraic geometry, and combinatorics. Like Schubert varieties, the structure of Hessenberg varieties can be studied using the combinatorics of the symmetric group.  In this talk, we’ll give a criterion for identifying singular points in a particular collection of regular Hessenberg varieties.  Our results lead to a classification of all singular Hessenberg—Schubert varieties in these cases.  This talk is based on joint work with Erik Insko and Alex Woo.

Host: Nathan Lesnevich