Nicolas Perrin (part 2) `Positivity of Grassmannian quantum K-theory'

(j.w. A. Buch, P.-E. Chaput and L. Mihalcea) I will introduce quantum K-theory for rational projective homogeneous spaces which is an avatar of Schubert calculus. As for many generalisations of Schubert calculus, one expects positivity properties of the product of Schubert classes in quantum K-theory. I will explain, in the case of Grassmannian, a (positive) result in this direction.