Université Lyon 1,
Bât. Braconnier,
21 av. Claude Bernard,
69100 Villeurbanne
Description
I will talk about generalized p-angulations in dimension higher than 2, which are gluings of elementary building blocks with p external faces. Such discretized spaces are generated by so called enhanced random tensor models. In two dimensions, p-angulations which maximize the number of vertices at fixed number of p-gons are the planar ones. They belong to the same universality class in the sense that their generating functions exhibit the same critical behavior. The situation in higher dimension appears to be richer. I'll present counting results and the critical behaviors of a number of such models.
