Speaker: Haniya Azam (Lahore University of Management Sciences)

Title: Homological Mirror Symmetry of theta divisors

Abstract: Homological Mirror Symmetry (HMS) is an equivalence of respective categories defined on complex and symplectic manifolds that are mirror to each other. This is a report on work in progress joint with Catherine Cannizzo, Heather Lee and Chiu-Chu Melissa Liu. We consider HMS for hypersurfaces inside an abelian variety of arbitrary dimension. This work generalizes another forthcoming work of ours, on global HMS of a genus two curve inside an abelian surface (which is a global version of Cannizzo's HMS result [Ca20], for the genus two curve).