Til Wehrhan, University of BONN and MPIM – The rim hook rule in equivariant quantum Schubert calculus via Bethe and Clifford algebras

Mode: In- Person

Title: The rim hook rule in equivariant quantum Schubert calculus via Bethe and Clifford algebras

Abstract:  It was proven by Bertiger, Milicevic and Taipale that the the strucutre coefficients in the equivariant quantum cohomology of a Grassmannian can be determined by computing the usual cup product in a certain larger Grassmannian and then applying a combinatorial rim hook algorithm. In this talk, we discuss a generalization of this result using the realization of the equivariant quantum cohomology of Grassmannians as Bethe algebras of a specific integrable model established by Gorbounov, Korff and Stroppel. If time permits, we also discuss further possible generalizations to equivairant quantum K-theory.