Galois action on fundamental groups and geometry of modular varieties
(Un exposé d'Alexander Goncharov au séminaire de
théorie des nombres de Chevaleret le 9 février 2004)
Résumé :
We will discuss some old and new results on the image of the
absolute/motivic Galois group acting on the pro-$l$/motivic
fundamental group of the multiplicative group without all
$p$-th roots of unity, and their relationship with the geometry
of certain level $p$ modular varieties for $GL_m(Z)$.