We investigate the classical limit of the Knizhnik-Zamolodchikov-Bernard equations, considered as a system of non-stationar Schröodinger equations on singular curves, where times are the moduli of curves. It has a form of reduced nonautonomous hamiltonian systems which include as particular examples the Schlesinger equations, Painlevé VI equation and their generalizations. In general case, they are defined as hierarchies of isomonodromic deformations (HID) with respect to changing the moduli of underling curves. HID are accompanying with the Whitham hierarchies. The phase space of HID is the space of flat connections of G bundles with some additional data in the marked points. HID can be derived from some free field theory by the hamiltonian reduction under the action of the gauge symmetries and subsequent factorization with respect to diffeomorphisms of curve. This approach allows to define the Lax equations associated with HID and the linear system whose isomonodromic deformations are provided by HID. In addition, it leads to description of solutions of HID by the projection method. In some special limit HID convert into the Hitchin systems. In particular, for SL(N, C) bundles over elliptic curves with a marked point we obtain in this limit the elliptic Calogero N -body system.1 Quantization of isomonodromic deformations on rational and elliptic curves and their relations to KZB was considered in [17,18,19] 2 Flat bundles over singular curvesWe will describe the general setup more or less naively. We don't consider in this section the mechanism of symplectic reduction in detail and postpone it on Sect.4 We will consider three cases: 1) smooth proper (compact) algebraic curves; 2) smooth proper algebraic curves with punctures; 3) proper algebraic curves with nodal singularities (double points).Let G be a semisimple group and V be its exact representation; f.e. G = SL(N, C) and V is a N-dimensional vector space with a volume form. Smooth curves.Let S be a smooth oriented compact surface of genus g. Let us consider the moduli space F Bun S,G of flat V -bundles on S. This space can be considered as the quotient of