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.