Mirror symmetry of Fano toric Amodel and LandauGinzburg Bmodel
Mirror symmetry of Fano toric Amodel and LandauGinzburg Bmodel

YongGeun Oh, University of Wisconsin
Fine Hall 314
In this talk, I will introduce the notion of weakly unobstructed Lagrangian submanifolds and balanced Lagrangian submanifolds. I will explain construction of certain potential function constructed out of study of deformation theory of Floer cohomology and explain its relationship to the earlier work of Givental which advocates that quantum cohomology ring is isomorphic to the Jacobian ring of LandauGinzburg superpotential. I will explain these result in the context of mirror symmetry between Fano toric Amodel and LandauGinzburg Bmodel. If time permits, I will indicate how this study can be related to construction of EntovPolterovich's symplectic quasistates on toric manifolds.