MATH - Seminar on Pure Mathematics - On the quantum K-theory of complex Grassmannians

In this talk, we will discuss the property of sum of Schubert structure constants for the quantum K-theory of complex Grassmannians (and more generally flag varieties). We will also introduce a cyclic group symmetry on the quantum cohomology of complex Grassmannian Gr(k, n), due to a formula by Belkale. We will show its generalization to the quantum K-theory QK(Gr(k,n)).