Classification of symmetries of planar choreographies
Event details
| Date | 30.10.2013 |
| Hour | 17:15 › 18:00 |
| Speaker | James Montaldi (Manchester) |
| Location |
MA A3 31
|
| Category | Conferences - Seminars |
Hamiltonian Dynamics Seminar
Abstract: A choreography is a solution of the N-body problem where the N bodies follow each other at regular intervals around a single closed path. Since Chenciner and Montgomery's (re)discovery of the figure-8 choreography in 2000, there has been considerable interest in finding new ones. The approach is usually to use variational methods on the appropriate loop space and the proofs have been a combination of symmetry arguments and analysis. In this talk I will describe a complete classification of all the possible symmetry groups arising in this problem (there will be no analysis!). It is joint work with my PhD student Katrina Steckles.
Abstract: A choreography is a solution of the N-body problem where the N bodies follow each other at regular intervals around a single closed path. Since Chenciner and Montgomery's (re)discovery of the figure-8 choreography in 2000, there has been considerable interest in finding new ones. The approach is usually to use variational methods on the appropriate loop space and the proofs have been a combination of symmetry arguments and analysis. In this talk I will describe a complete classification of all the possible symmetry groups arising in this problem (there will be no analysis!). It is joint work with my PhD student Katrina Steckles.
Practical information
- Expert
- Free
Organizer
- Sonja Hohloch, Martins Bruveris, Tudor Ratiu