DGLAP and BFKL equations in $\mathcal{N}=4$ SYM: from weak to strong coupling

Abstract

DGLAP and BFKL equations are among the cornestones of the contemporary QCD. Moreover, they also played an important role in the recent studies of integrability structure of $\mathcal{N}=4$ SYM. Here, we review the results obtained along this way together with a brief account of approaches and methods used.