Abstract:Lagrangian fillings are key objects in symplectic geometry. Wrapped Floer theory can be used to show some rigidity property of embedded Lagrangian fillings. We extend the wrapped Floer theory to immersed Lagrangian fillings and obtain lower bounds of double points of immersed Lagrangian disk fillings
AbstractThe chromatic Lagrangian is a Lagrangian subvariety inside a symplectic leaf of the cluster Poisson moduli space of Borel-decorated PGL(2) local systems on a punctured surface. I will describe the cluster quantization of the chromatic Lagrangian, and explain how it canonically determines wavefunctions associated to a certain class of Lagrangian 3-manifolds L in Kahler \mathbb{C}^3, equi...