Combinatorics Seminar: The Isomorphism Problem for cominuscule Schubert Varieties

Abstract: Cominuscule flag varieties generalize Grassmannians to other Lie types. Schubert varieties in cominuscule flag varieties are indexed by posets of roots labeled long/short. These labeled posets generalize Young diagrams. In this talk, I will discuss joint works with E. Richmond and M. Tarigradschi showing Schubert varieties in potentially different cominuscule flag varieties are isomorphic as varieties if and only if their corresponding labeled posets are isomorphic, as well as open problems concerning generalization to Richardson varieties, which are intersections of Schubert varieties in general position.

Host: Martha Precup