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AbstractIn this presentation, we will discuss the images of Galois representations. In particular, we will address the tame version of the Fontaine-Mazur conjecture, as well as the issue of the existence of Galois extensions with open image.About Christian Maire“Mes domaines d'expertises sont la théorie des nombres, l'arithmétique, l'algèbre sur les corps de nombres, les pro-p extensions, etc....