Université de Versailles-St Quentin, Laboratoire de Mathématiques, 45 avenue des États-Unis 78035 Versailles cedex, France
e-mail: divizio[at]math.cnrs.fr          Office: bâtiment Fermat, office 3305

Proceedings of the conference Analogies between number field and function field: algebraic and analytic approaches, 27/06-01/07/2016, Lyon. Publications Mathématiques de Besançon no. 1 (2019), p. 21-39. 


The purpose of this survey is to provide the reader with a user friendly introduction to the two articles [8] and [9], which give a Galoisian description of the action of an endomorphism of a differential field (K,∂) on the solutions of a linear differential equation defined over (K,∂). After having introduced the theory, we give some concrete examples.