BFKL equation and anomalous dimensions in N=4 SUSY

The BFKL approach to the Regge processes in QCD is reviewed. It is shown, that in the multi-colour QCD the BKP equations for compositestates of several Reggeized gluons are integrable. We discuss the relation between Pomeron and Graviton in N=4 SUSY. The property ofthe maximal transcendentality is formulated. It gives us a possibility to calculate the three-loop anomalous dimension. With the use of theasymptotic Bethe ansatz and a model for wrapping effects the anomalous dimension is calculated in four loops in an agreement with theBFKL and double-logarithmic predictions