Contents/conteúdo

Departamento de Matemática Técnico Técnico

Cursos de Verão em Geometria  RSS

09/07/2002, 16:30 — 17:30 — Anfiteatro Ea2, Torre Norte (Electricidade)
, Santa Cruz

Periodic Orbits and Symplectic Topology (II)

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.


Para descrições globais de cada curso consulte https://camgsd.tecnico.ulisboa.pt/encontros/slg/.

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