Hông Vân Lê, Homotopy invariants of chain complexes and closed orbits of locally Hamiltonian systems, talk at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic (abstract)
Speaker: Hông Vân Lê
Title: Homotopy invariants of chain complexes and closed orbits of locally Hamiltonian systems
Abstract:
In 1987 Floer developed his Floer homology theory to prove a homological version of the Arnold conjecture, which is finally proved by Fukaya-Ono and Liu-Tian in 1998. In my lecture I shall discuss a homological version of the Arnold conjecture concerning the least number of closed orbits of locally Hamiltonian systems. I also discuss the strong version of the Arnold conjecture using homotopy invariants of free finitely generated chain complexes.