Vendredi 9 Octobre

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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 non-colored 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 Hubbard-Stratanovitch 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.