Bozidar Jovanovic (Belgrád): Symmetries and noncommutative integrability

We will outline the proof of the theorem on noncommutative integrability of Hamil-
tonian systems introduced by Nekhoroshev and Mishchenko and Fomenko.

In the second part of the lecture we shall briefly present applications of noncommu-
tative integrability in natural mechanical systems and geodesic flows on homogeneous
spaces.