A Kunneth theorem in Lagrangian Floer theory

Lagrangian Floer cohomology is the best tool to study the intersection theory of Lagrangian submanifolds of a given symplectic manifold. Unfortunately it cannot be defined in general, instead there is a more complicated algebraic invariant, a filtered A-infinity algebra, known as the Fukaya algebra, introduced by Fukaya-Oh-Ohta-Ono . In this talk we will review its constructions and describe the Fukaya algebra of the product of two Lagrangians. For this we will first have to define the tensor product of A-infinity algebras.