“Mirror symmetry between Toric A model and Landau-Gizburg B model”
Kenji Fukaya, Kyoto University

Abstract:
In a series of papers (with Oh-Ohta-Ono) we studied Lagrangian Floer theory in the case of Toric manifolds and its Lagrangian fiber of the moment map. I would like to explain how it implies a kind of Mirror symmetry. I also explain how we can use it to obtain information about the Lagrangian submanifold L of Toric manifolds in the case L is not necessarily a Lagrangian fiber. (This part is a joint work with Abousaid, Oh, Ohta, Ono.) The relation of it to cyclic and Hochshild homology and to K. Saito theory over Novikov rings is also discussed.