Homological mirror symmetry via Lagrangian Floer theory I

Abstract: A version of homological mirror symmetry(HMS) conjecture relates the Fukaya category of a symplectic manifold and matrix factorization category of a mirror Landau-Ginzburg model. In this introductory lecture series, we illustrate geometric ideas behind such correspondences from a biased point of view of the theory of localized mirror functor in Lagrangian Floer theory.

Lecture 1 : A-infinity category, HMS and localized mirror functor

algebraic geometrycombinatoricsdifferential geometrygeometric topologyquantum algebrarepresentation theorysymplectic geometry

Audience: researchers in the topic

Legendrians, Cluster algebras, and Mirror symmetry

Series comments: Schedule
School: January 4–8, 2021
Conference: January 11–15, 2021