A KAM result on compact Lie groups
  We describe some recent results on existence of quasi-periodic solutions of Hamiltonian PDEs on compact manifolds. We prove a linear stability result for the non-linear Schr\"odinger equation in the case of $SU(2)$ and $SO(3)$. 
Livia Corsi, Emanuele Haus, Michela Procesi
math.AP