colloquium Mathematics, Dr. Fabian Ziltener (Utrecht University)
|When:||Tu 20-02-2018 15:30 - 17:00|
Hamiltonian group actions on exact symplectic manifolds with proper momentum maps are standard.
Symplectic geometry originated from classical mechanics.
Hamiltonian Lie group actions correspond to symmetries in mechanics.
They can be used to reduce the number of degrees of freedom of a mechanical system.
I will completely characterize Hamiltonian actions of compact Lie groups on exact symplectic manifolds with proper momentum maps. I will deduce that every Hamiltonian action of a compact Lie group on a contractible symplectic manifold with a proper momentum map is globally linearizable.
(This is joint work with Yael Karshon.)