Vanishing of the fundamental class of displaceable
Lagrangian submanifolds
In this talk I will sketch a proof of the following theorem. The fundamental class of a displaceable monotone Lagrangian submanifold vanishes. This proof uses a geometric argument and Hamiltonian Floer homology. Time permitting I will put this into a more conceptual context involving Lagrangian and Hamiltonian Floer homology and their interplay.