The Conley conjecture (Q601864)

The Conley conjecture states that a Hamiltonian diffeomorphism of a closed symplectically aspherical manifold has infinitely many periodic points. The main result of this paper is a proof of this conjecture. More precisely, the author proves that a Hamiltonian diffeomorphism of a closed symplectically aspherical manifold whose fixed points are isolated admits simple periodic points of arbitrarily large period.