Speaker: Eric Zaslow (Northwestern University)

Title: The proper Landau-Ginzburg potential is the open mirror map

Abstract: I will describe joint work with Tim Graefnitz and Helge Ruddat. Given a smooth toric surface with smooth anticanonical divisor, there is a scattering diagram defined by the dual intersection complex. I will explain how the mirror Landau-Ginzburg potential in the unbounded chamber is equal to the open mirror map for outer Aganagic-Vafa branes in the canonical bundle of the toric surface. I will describe the chain of dualities on which the proof relies and demonstrate how the potential results from wall crossing from the familiar Hori-Vafa potential associated to the (non-smooth) toric anticanonical divisor.