Please note change of time:  2:30-3:30.   I will introduce a "low-area" version of Floer cohomology of a non-monotone Lagrangian submanifold and prove that a continuous family of Lagrangian tori in CP2, whose Floer cohomology in the usual sense vanishes, is Hamiltonian non-displaceable from the monotone Clifford torus. Joint work with Renato Vianna.