2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67533We present a cohomological interpretation of the middle convolution functor MC and find an explicit Riemann-Hilbert correspondence for MC_λ. This leads to an algorithm for the construction of Fuchsian systems which correspond to irreducible rigid local systems under the Riemann-Hilbert correspondence. Also, the effect of MC_λon the p-curvatures ist determined and new examples of differential systems are found which satisfy the Grothendieck-Katz p-curvature conjecture.Algebraic GeometryClassical Analysis and ODEs34A05; 34M50; 34M35text