Andrzej J. Maciejewski (Institute of Astronomy, University of Zielona Gora, Poland)
  Integrability of certain restricted systems of material points.

We consider several mechanical systems of material points whose motion is restricted by holonomic constraints. The main aim is to study their integrability in the framework of differential Galois theory. As examples we present results concerning two systems. The first of these systems is a chain in circular orbit. The second is a system of points on a sphere whose motion is restricted by certain additional constraint.