From Hamiltonian S^1-spaces to compact semi-toric systems
Event details
| Date | 06.05.2014 |
| Hour | 16:15 › 17:15 |
| Speaker | Sonja Hohloch (EPFL) |
| Location | |
| Category | Conferences - Seminars |
Geometry and Dynamics Seminar
Abstract: In an earlier work with S. Sabatini and D. Sepe, we studied the transition from compact semi-toric systems (i.e. integrable Hamiltonian systems inducing an R x S^1-action) to Hamiltonian S^1-actions by tracking the 5 semi-toric invariants introduced by Pelayo & Vu Ngoc and `turning' them in to a so-called Karshon-graph (which classifies Haniltonian S^1-spaces).
In an ongoing work with S. Sabatini, D. Sepe and M. Symington, we are studying the transition from Hamiltonian S^1-spaces to compact semi-toric systems, i.e. how/if/when one can `reverse' the earlier ideas and what new insights can be gained from Hamiltonian S^1-spaces for semi-toric systems.
Abstract: In an earlier work with S. Sabatini and D. Sepe, we studied the transition from compact semi-toric systems (i.e. integrable Hamiltonian systems inducing an R x S^1-action) to Hamiltonian S^1-actions by tracking the 5 semi-toric invariants introduced by Pelayo & Vu Ngoc and `turning' them in to a so-called Karshon-graph (which classifies Haniltonian S^1-spaces).
In an ongoing work with S. Sabatini, D. Sepe and M. Symington, we are studying the transition from Hamiltonian S^1-spaces to compact semi-toric systems, i.e. how/if/when one can `reverse' the earlier ideas and what new insights can be gained from Hamiltonian S^1-spaces for semi-toric systems.
Practical information
- Expert
- Free
Organizer
- Martins Bruveris