In the first part of the course I will give an introduction to the basics of AdS/CFT. Then I will discuss the standard examples of gravity/duals of N=1 SYM (Klebanov-Strassler, Maldacena-Nunez) and how to introduce flavours in the correspondence. To finish I will discuss recent applications of the duality to condensed matter models. \\ \\ NOTE: The first lecture of the course will be held on Friday March 19th instead of Friday March 12th. \\ \\ \\ (Cour organisé en collaboration avec l'Ecole Doctorale de Physique de la Région Parisienne - ED 107)