10/04/2012, 10:30 — 11:30 — Sala P4.35, Pavilhão de Matemática
Daniele Sepe, Centro de Análise Matemática, Geometria e Sistemas Dinâmicos
Lecture VII - Lagrangian fibrations with elliptic singularities
The Eliasson-Miranda-Zung linearisation theorem provides a
symplectic model in a neighbourhood of a compact non-degenerate
orbit of a completely integrable Hamiltonian system. A natural
question to ask is whether such a model exists for singular fibres
of Lagrangian fibrations (which, generally, consist of several
disjoint orbits), the aim being a symplectic classification of
Lagrangian fibrations with singularities. In this lecture the
simplest case of purely elliptic singularities is studied in order
to illustrate some of the difficulties that arise in developing
such a classification theory.
Organizador corrente: Miguel
Abreu
uma unidade do Laboratório Associado LARSyS
