2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/117905The Schlesinger equations $S_{(n,m)}$ describe monodromy preserving deformations of order $m$ Fuchsian systems with $n+1$ poles. They can be considered as a family of commuting time-dependent Hamiltonian systems on the direct product of $n$ copies of $m\times m$ matrix algebras equipped with the standard linear Poisson bracket. In this paper we address the problem of reduction of particular solutions of ``more complicated'' Schlesinger equations $S_{(n,m)}$ to ``simpler'' $S_{(n',m')}$ having $n'< n$ or $m' < m$.32 pages. To the memory of our friend Andrei BolibruchDifferential GeometryClassical Analysis and ODEs32G34 (Primary); 34M55, 53D30 (Secondary)text