Quantum K-theory of some homogeneous spaces

Abstract:  Quantum K-theory is as quantum cohomology a generalisation of the classical cohomology algebra of a variety X. In this talk I will explain the connection between the geometry of the moduli space of stable maps, in particular rational connectedness properties, and the computation of structure constants for X a rational homogeneous space. This will be based on a joint work with A. Buch, P.-E. Chaput and L. Mihalcea