%0 Journal Article %T Hopf algebras, from basics to applications to renormalization %A Dominique Manchon %J Mathematics %D 2004 %I arXiv %X An extended version of a series of lectures given at Bogota in december 2002. It consists in a presentation of some aspects of Connes' and Kreimer's work on renormalization in the context of general connected Hopf algebras, in particular Birkhoff decomposition and, in the graded case, the scattering-type formula. %U http://arxiv.org/abs/math/0408405v2