Vendredi 9 Octobre
Heure: 
12:45  15:30 
Lieu: 
Salle B107, bâtiment B, Université de Villetaneuse 
Résumé: 
Tenseurs aléatoires (soutenance de thèse) 
Description: 
Stéphane Dartois During this defense I present pieces of the work I achieved on random tensor models (tensor models for short). I will define colored triangulations and then review their combinatorics. After this is done I show how one can write integral representation of their generating series. These representations are called tensor models. Using this representation I will describe the combinatorial 1/N expansion for two different kinds of models generating specific classes of colored and noncolored combinatorial maps. I will then concentrate on a specific model, that is the simpler non trivial tensor model and explore some of its properties. In particula r I review the properties of its double scaling limit, then using its HubbardStratanovitch representation, I show how one can use matrix models techniques to recover results obtained using combinatorial techniques. I will finally present several results that point towards integrable structures in the framework of random tensor models. 

