Juan J. Abad, Hans Koch, Peter Wittwer Renormalization group analysis of Hamiltonian flows (27K, amstex) ABSTRACT. This paper is a summary of some recent work by the authors on the renormalization of Hamiltonian systems. Applications include the construction of invariant tori and related sequences of closed periodic orbits. We also discuss problems related to the breakup of invariant tori, and some numerical results. (Contribution to the proceedings of the ICMP2000.)