2013-04-24 16:00 ~ 2013-04-24 17:00
Prof. Reyer Sjamaar (Cornell University)
國立清華大學綜三館 R631
(Almost) Lagrangian fibre bundles
Abstract:
(Almost) Lagrangian fibre bundles arise from completely integrable Hamiltonian
systems. Such bundles have local normal forms ("action-angle variables") and
have no local invariants. Two global invariants, the monodromy and the Chern
class, were identified by Duistermaat. A refinement of the Chern class, now
called the Lagrangian class, was found by Dazord and Delzant. In this survey
talk I will define these invariants and show how they classify (almost)
Lagrangian fibre bundles.
Tea Time: 3:30pm, R707
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