Algebraic Geometry Working Seminar

Jiahui Huang, University of Waterloo

Deformation of Complex Structures in Mirror Symmetry

In the spirit of relating the complex geometry of a Calabi-Yau manifold to the Kahler geometry of its mirror, this talk considers how their deformations relate to each other. We study deformations of complex structures via Kodaira-Spencer theory and Kahler structures via Gromov-Witten invariants. We will also look at how they relate to homological mirror symmetry.