Speaker
Yong-Geun Oh
(Postec)
Description
In this talk I will first review the Lagrangian Floer theory in the general context of open-closed TFT in two dimensions and then explain its application to the mirror symmetry of compact toric manifolds. In particular, I will explain construction of a natural isomorphism between the Frobenius manifold structures of the (big) quantum cohomology of a toric manifold and of Saito's theory of singularities of the potential function constructed via the bulk-deformed Floer cohomology. Our proof of the isomorphism involves the open-closed Gromov-Witten theory of one-loop. This talk is based on a series of joint works with Fukaya, Ohta and Ono.
