Description
Hamiltonian Floer theory is a fundamental tool in symplectic geometry that is used to establish lower bounds for the number of closed Hamiltonian orbits. While geodesics are the basic examples of Hamiltonian orbits, minimal surfaces are the 2-dimensional generalizations of geodesics. We present a 2-dimensional generalization of Hamiltonian Floer theory that is fit for proving lower bounds for the number of closed minimal surfaces in K\"ahler manifolds as well as of closed solutions of more general nonlinear equilibrium problems. This is joint work with Ronen Brilleslijper.