Mathematical Physics and Algebraic Geometry Seminar

Speaker: Ki Fung Chan (Chinese University of Hong Kong)

Title: 3d Mirror Symmetry is 2d Mirror Symmetry

Abstract: We introduce an approach to studying 3d mirror symmetry via 2d mirror symmetry. The main observations are: (1) 3d brane transforms are given by SYZ-type transforms; (2) the exchange of symplectic and complex structures in 2d mirror symmetry induces the exchange of Kähler and equivariant parameters in 3d mirror symmetry; and (3) the functionalities of 2d mirror symmetry control the gluing of 3d mirrors. If time permits, we will also discuss some applications to 2d mirror symmetry at the end of the talk. Joint works with Naichung Conan Leung.