## Sprungmarken

 Thu, 13.12.2018, 16:15 Ende: Thu, 13.12.2018, 18:00 Symplectic reduction of the 3-body problem in 4-dimensional space AG Mathematische Physik Referent: Holger Dullin (Sydney) Veranstalter: AG Mathematische Physik Raum: U1 The N-body problem in d-dimensional space has symmetry group SE(d). Centre of mass reduction leads to a system with SO(d) symmetry acting diagonally on positions and momenta. For N=3, d=4 reduction of the SO(4) symmetry is unusual because the tensor of inertia is non-invertible. The fully reduced system has 4 degrees of freedom and a Hamiltonian that is not polynomial in the momenta. Some properties of this Hamiltonian will be discussed, in particular we show that there are relative equilibria that are minima of this Hamiltonian. Joint work with Juergen Scheurle