# Low-area Floer theory and non-displaceability

 Princeton/IAS Symplectic Geometry Seminar Topic: Low-area Floer theory and non-displaceability Speaker: Dmitry Tonkonog Affiliation: University of Cambridge Date: Friday, November 20 Time/Room: 2:30pm - 3:30pm/Fine 322, Princeton University

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 $\mathbb CP^2$, whose Floer cohomology in the usual sense vanishes, is Hamiltonian non-displaceable from the monotone Clifford torus. Joint work with Renato Vianna.