Homological mirror symmetry near SYZ singularities

Abstract: I'll discuss homological mirror symmetry for the spaces $\prod x_i=1+\sum y_j$, which appear as neighborhoods of SYZ singularities. I'll start by discussing wrapped HMS, and then I'll explain how to cook up a torus-like closed Lagrangian brane for every point of the mirror. This is work in progress with M. Abouzaid and in part with A. Perry.

algebraic geometrysymplectic geometry

Audience: researchers in the topic

M-seminar