EVENT DETAILS AND ABSTRACT

Title: Analytic continuation of solutions of GKZ system and homological mirror symmetry
Speaker: Professor Lev Borisov
Speaker Info: University of Wisconsin-Madison
Brief Description:
Special Note:
Abstract:

GKZ hypergeometric system is a certain explicit system of PDEs associated to a finite set of lattice points. Given a triangulation of the convex hull of this set, with the points as vertices, one can construct solutions of GKZ hypergeometric system, indexed by the (dual of) the K-theory of the corresponding toric Deligne-Mumford stack. It turns out that the analytic continuation between adjacent triangulations corresponds to the pullback-pushforward isomorphism of the corresponding K-theories. This is recent joint work with Paul Horja. I will aim to keep the talk accessible to graduate students in geometry.