< QSMS-BK21 Toric Geometry Seminar >

We first briefly review the construction given by the SYZ conjecture and introduce wall-crossing phenomena to provide some background for the paper "Mirror Symmetry and T-Duality in the Complement of an Anticanonical Divisor" by Auroux. Then we investigate the behavior of special Lagrangians and their complexified moduli space. We end by showing that these special Lagrangians have nice properties that enable us to define a superpotential function for these Lagrangians, when equipped with an additional flat unitary connection.