Expansions for solutions of the Schlesinger equation at a singular point
  A local behavior of solutions of the Schlesinger equation is studied. We obtain expansions for this solutions, which converge in some neighborhood of a singular point. As a corollary the similar result for the sixth Painlev\'e equation was obtained. In our analysis, we use the isomonodromic approach to solve this problem. 
Ilya Vyugin
math.CA