The abelian category of mixed Hodge modules on a complex variety X has been introduced by M. Saito as a mixed Hodge structure enhancement of perverse sheaves. When X varies, the bounded derived category of mixed Hodge modules on X is endowed with Grothendieck’s six sheaf operations. In this talk, I will give a brief introduction to mixed Hodge modules and explain how to provide an infty-categorical enhancement of the 6 operations in order to extend all the formalism to algebraic stacks.