Speaker: Zengrui Han (Rutgers University)

Title: GKZ systems and their applications to toric mirror symmetry

Abstract: Homological mirror symmetry predicts the existence of an isotrivial family of triangulated categories over the stringy Kähler moduli space associated to an affine toric Gorenstein singularity. This family underlies the derived equivalences between different crepant resolutions of such a singularity. While the construction of this family is still an open problem, its de-categorification is known as the GKZ hypergeometric system and is relatively well-understood. In this talk, I will speak about the duality and analytic continuation of such systems, along with their applications to local mirror symmetry (Hori-Vafa mirrors).