Résumé : I will talk about families of triangulations of manifolds in arbitrary dimensions which can be represented by multi-graphs with colored edges. I will focus on an important family of such triangulations, called melonic triangulations, which controls the behavior of integrals over random tensors (a promising approach to quantum gravity). These integrals can be solved by an exact counting of the melonic triangulations. If time permits, I will describe the relation to loop models on random planar maps, and also an interesting family of colored triangulations related to meanders.
|Dernière modification : Friday 29 March 2013||Contact : Cyril.Banderier at lipn.univ-paris13.fr|