Mapping spaces from the rational point of view

In this talk we present basic constructions of the rational homotopy type of mapping spaces (free and pointed) based in the Brown-Szczarba approach to the Haefliger model of such spaces. This will lead to the full description of the homotopy Lie algebra structure of mapping spaces and to a manageable computation of evaluation subgroups. (Joint work with Urtzi Buijs) (PowerPoint file)