We consider integrable tops, the Toda chain, the Calogero-Moser model, and its spin generalization.
In the first part of the course, we will consider the theoretical group approach to integrable systems(such constructions as the Lax pair, the classical r-matrix, the momentum map)
In the second part, we will study algebro-geometric ways of solving integrable systems (spectral curve, compact Riemann surfaces, higher theta functions).