28/02/2012, 10:30 — 11:30 — Room P4.35, Mathematics Building
Daniele Sepe, CAMGSD/IST
Lecture I - An introduction to Lagrangian fibrations
This lecture presents an overview on the whole series, introducing
some fundamental concepts in the study of Lagrangian fibrations by
means of some examples. Special attention is dedicated to
completely integrable Hamiltonian systems, which are a type of
mechanical systems that are intimately connected to Lagrangian
fibrations. The structure of the cotangent bundle as a Lagrangian
fibration (in fact a fibre bundle) is studied, thus illustrating
the ideas that lead to the topological and symplectic
classification of Lagrangian fibrations.
See also
https://www.math.tecnico.ulisboa.pt/~jmourao/inves/D_Sepe_Lagrangian_Fibrations.pdf
