Matrix factorizations and mirror symmetry

Abstract: Homological mirror symmetry is a conjecture introduced by Kontsevich which relates the Fukaya category of a symplectic manifold with the derived category of coherent sheaves on its mirror. When the symplectic manifold is not Calabi-Yau, the mirror is often described by matrix factorizations. In the talk, I will discuss a joint work with Yanki Lekili on homological mirror symmetry for Milnor fibers of invertible polynomials.

algebraic geometrydifferential geometry

Audience: researchers in the topic

Moduli spaces seminar