10/07/2002, 14:30 — 15:30 — Amphitheatre Ea2, North Tower, IST
Viktor Ginzburg, Santa Cruz
Periodic Orbits and Symplectic Topology (III)
Introduction: Hamiltonian flows, the Arnold and Weinstein conjectures, examples: convex Hamiltonians and flows on twisted cotangent bundles, review of results.
Floer homology: review of Morse theory, Floer homology and symplectic homology, application: the Arnold conjecture.
Almost existence theorems for periodic orbits: symplectic capacities almost existence and the Hofer-Zehnder capacity, application: Viterbo's proof of Weinstein conjecture and almost existence in twisted cotangent bundles.
The Hamiltonian Seifert conjecture: the Seifert conjecture and counterexamples, Hamiltonian dynamical systems without periodic orbits.