Konferenz: Symposium about Pure Mathematics


Relative Equilibrium Motions of the N-body problem and the Real Moment Map Geometry

{{_Ltalk:R}} Dr. Lei Zhao
Datum: 22.11.16   Zeit: 10.00 - 12.00   Raum: Y27H28

In studying Newtonian N-body problem in a general Euclidean space, Chenciner and Jiménez-Pérez showed that the range of the spectra of the angular momenta of all the rigid motions of a fixed central configuration form a convex polytope. In this talk, I shall explain how this result follows from a general convexity theorem of O’Shea and Sjamaar in real moment map geometry.