IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar

We will outline the proof of an intersection result between embedded Lagrangian tori and certain 1 parameter families of product Lagrangian tori in the 4 dimensional symplectic cylinder. The theorem can be applied to give new computations of the shape invariant, describing the Lagrangian tori in some Toric domains, and therefore to produce Symplectic embedding obstructions. This is joint work with Ely Kerman.