Hebrew University topology and geometry seminar

Abstract: In dynamics it is important to detect recurrent behavior, for example periodic orbits of flows. In Hamiltonian dynamics this is to some degree achieved through Floer homology. In my talk I will introduce this powerful tool of symplectic topology, explain how spectral invariants - which are robust probes into the dynamics of Hamiltonian systems - arise from it, and present some applications to the geometric and algebraic structure of the Hamiltonian group of cotangent bundles, as well as to function theory on them.