IPMU Komaba Seminar

Speaker: Kwokwai Chan (IPMU)
Title: Mirror symmetry for toric Calabi-Yau manifolds from the SYZ viewpoint
Date (JST): Mon, Jan 31, 2011, 16:30 - 18:00
Place: Room 002, Mathematical Sciences Building, Komaba Campus
Abstract: In this talk, I will discuss mirror symmetry for toric Calabi-Yau (CY) manifolds from the viewpoint of the SYZ program. I will start with a special Lagrangian torus fibration on a toric CY manifold, and then construct its instanton-corrected mirror by a T-duality modified by quantum corrections. A remarkable feature of this construction is that the mirror family is inherently written in canonical flat coordinates. As a consequence, we get a conjectural enumerative meaning for the inverse mirror maps. If time permits, I will explain the verification of this conjecture in several examples via a formula which computes open Gromov-Witten invariants for toric manifolds.