Bertrand, Daniel Algebraic groups and linear differential equations. (Groupes algébriques et équations différentielles linéaires.) (French) Zbl 0813.12004 Séminaire Bourbaki, Vol. 1991/92. Exposés 745-759 (avec table par noms d’auteurs de 1948/49 à 1991/92). Paris: Société Mathématique de France, Astérisque. 206, 183-204 (Exp. No. 750) (1992). There are several approaches to the differential Galois theory. In the paper this theory is treated from different points of view: the geometric one, based on the monodromy group; the analytic one, based on the group of Stokes; the algebraic and arithmetic ones, developed by N. Katz.For the entire collection see [Zbl 0772.00016]. Reviewer: E.V.Pankrat’ev (Moskva) Cited in 6 Documents MSC: 12H05 Differential algebra 12F10 Separable extensions, Galois theory 34A30 Linear ordinary differential equations and systems 12F20 Transcendental field extensions Keywords:Picard-Vessiot extension; Stokes group; hypergeometric differential equations; differential Galois theory; monodromy group PDFBibTeX XMLCite \textit{D. Bertrand}, in: Séminaire Bourbaki, volume 1991/92. Exposés 745-759 (avec table par noms d'auteurs de 1948/49 à 1991/92). Paris: Société Mathématique de France. 183--204 (Exp. No. 750) (1992; Zbl 0813.12004) Full Text: Numdam