| In this thesis, we study the motivic construction of the mixed Hodge structures associated to the multiple polylogarithm functions. By means of the moduli spaces of pointed stable curves of genus 0, we construct framed Hodge-Tate structures whose periods are the multiple polylogarithms. Then we apply to the dilogarithm, and prove that our motivic construction is isomorphic to the classical one given by P. Deligne. |
