Vectorial Calculus of Variations in L^{\infty}

First, quick presentation of some notions of Calculus of Variations in $L^{\mathrm{\infty }}$ for scalar-valued functions, the Aronsson equation and absolute minimizers, example of the infinity-Laplacian. Then, I will talk about the case of vector-valued maps : the Aronsson system is incomplete, presentation of the full Aronsson system and of a recent type of weak solutions to this full system.