In this talk we will discuss the (de-)linearization of modules over smooth varieties, introduced by A. Grothendieck, and we will introduce the classic Berstein-Gelfand-Gelfand (BGG) theory. The two arguments arise in differet fields of mathematics, but toghether could be used in order to compute the de Rham cohomology of certain sheaves over varieties of the form \(G/P\), where \(G\) is a reductive algebraic group and \(P\) is a parabolic subgroup; getting a geometrization of the BGG theory. Finally we will see an application in arithmetic number theory: we will compute the de Rham cohomology of some sheaves that \(p-adic\) interpolate de Rham classes of modular forms. This talk is based on a joint work with Fabrizio Andreatta e Adrian Iovita.