colloquium Mathematics, Dr. Fabian Ziltener (Utrecht University)
When: | Tu 20-02-2018 15:30 - 17:00 |
Where: | 5161.293 (Bernoulliborg) |
Title:
Hamiltonian group actions on exact symplectic manifolds with proper momentum maps are standard.
Abstract:
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.)