Momentum polytopes of Kähler compact multiplicity-free manifolds
I will present some results about the momentum polytopes of the multiplicity-free Hamiltonian compact manifolds acted on by a compact group which are Kählerizable. I shall give a characterization of these polytopes, explain how much they determine these manifolds and sketch some applications of this characterization – most of these results have been obtained jointly with G. Pezzini and B. Van Steirteghem.
