Tuesday, May 11, 2021
Alain Chenciner (Observatoire de Paris)
ABC

15:15-16:15 GMT(*)
08:15 Los Angeles,  10:15 Mexico City,  11:15 New York, 12:15 Rio de Janeiro, 16:15 London, 17:15 Rome, 18:15 Moscow, 20:45 Delhi,  23:15 Beijing,  01:15 Sydney
(*) Please note that this seminar, as well as those of May 25th and June 8th, will exceptionally begin 15 minutes later than usual.

Abstract: A as forces, B as shape, C as angular momentum. In this ABC I’ll consider n-body relative equilibria in dimensions greater than 3. The family of n-body configurations which, when submitted to Newtonian or similar attraction, admit a relative equilibrium motion (the “balanced” configurations) then becomes much richer. Also, a given balanced configuration admits a variety of relative equilibria, namely one for each choice of a hermitian structure on the space where the motion really takes place; in general, if the configuration is not central, such relative equilibria are quasi-periodic.
I shall discuss several problems, like the one of deciding what is the smallest dimension in which a given configuration admits a relative equilibrium motion, or when bifurcations from the periodic relative equilibrium of a central configuration may bifurcate into a family of quasi-periodic relative equilibria of balanced configurations.

The Zoom Meeting opens 15 minutes earlier for socialization (at 15:00 GMT).

Zoom credentials will be emailed to registered participants 24 hours before the talk.
--
修改:vinbo FROM 211.161.243.*
FROM 211.161.243.*