DGLAP and BFKL equations now

The s and t-channel approaches to the high energy hadron scattering are reviewed. The parton model is applied to describe the high energy and deep-inelastic processes. In QCD the parton picture leads to the DGLAP evolution equations for the parton distributions. The gluon and quark are shown to lie on their Regge trajectories. The integrability properties of the effective theory for the high energy QCD in the multi-colour limit are outlined. The Baxter - Sklyanin representation for the wave function of the composite colourless states is formulated. Next-to-leading corrections to the BFKL equation in QCD and supersymmetric gauge theories are discussed. The effective action for the gluon and quark integrations local in the parton rapidities is presented.