AG and Symmetries around Galois and Fundamental Groups 1069

scheme (X, Mx) modulo TT depends only on the reduction modulo a finite, explicitly computable, power of TT of the underlying schemes (X,Z). This should be true more generally for

The aim of our work is a parallel study of the two natural graded Lie algebra objects associated to topological spaces S in traditional homotopy theory : gr*7Ti6' (the graded

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des

Wojtkowiak, On ℓ -adi iterated integrals, III Galois ations on fundamental groups, Nagoya Math. Wojtkowiak, A Note on Funtional Equations of ℓ -adi Polylogarithms, Journal of

– We give the best ranges of stability, for homology of orthogonal groups and special orthogonal groups, over an algebraically closed field, of characteristic different from 2..

- We introduce a new obstruction to weak approximation which is related to etale non- abelian coverings of a proper and smooth algebraic variety X defined over a number field k..

1. Goxeter, Shephard and Artin groups. Local deformation theory of representations. The correspondence between projective reflections and their fixed points. Commuting and

(iii) Let k be either a local field (that is, a non discrete locally compact field) or a global field (that is, either a number field or a function field in one variable over a