Singular integral affine structures of focus-focus singularities
Event details
| Date | 25.03.2013 |
| Hour | 17:15 › 18:00 |
| Speaker | Daniele Sepe (IST Lisbon) |
| Location |
MA A3 30
|
| Category | Conferences - Seminars |
Hamiltonian Dynamics Seminar
Abstract: The Liouville-Arnold theorem gives the existence of local action-angle coordinates near regular orbits of a completely integrable Hamiltonian system. The global counterpart to action variables is an integral affine structure, as observed by Duistermaat and Nekhoroshev independently. In this talk, we shall introduce a notion of singular integral affine structures (still smooth in some sense) for focus-focus singularities, which have recently come to the fore for their topological, geometric and symplectic properties. This is joint work in progress with Rui Loja Fernandes.
Abstract: The Liouville-Arnold theorem gives the existence of local action-angle coordinates near regular orbits of a completely integrable Hamiltonian system. The global counterpart to action variables is an integral affine structure, as observed by Duistermaat and Nekhoroshev independently. In this talk, we shall introduce a notion of singular integral affine structures (still smooth in some sense) for focus-focus singularities, which have recently come to the fore for their topological, geometric and symplectic properties. This is joint work in progress with Rui Loja Fernandes.
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Practical information
- Informed public
- Free
Organizer
- Sonja Hohloch, Martins Bruveris