Leonardo Mihalcea
Virginia Tech, Blacksburg, United States

The quantum $K$ theory ring of a complex projective manifold $X$ is a deformation of the ordinary Grothendieck ring of vector bundles on $X$, defined in the early 2000's by Givental and Lee. In this talk I will discuss a proof for a positivity property of the Schubert structure constants for the quantum $K$ ring of a Grassmann manifold. This is joint work with A. Buch, P.E. Chaput and N. Perrin.