Lectures on meromorphic flat connections

These notes form an extended version of a minicourse delivered in Universite de Montreal (June 2002) within the framework of a NATO workshop Normal Forms, Bifurcations and Finiteness Problems in Differential Equations''. The focus is on Poincare--Dulac theory of Fuchsian’’ (logarithmic) singularities of integrable systems, with applications to problems on zeros of Abelian integrals in view.