The microscopic dynamics of quantum space as a group field theory
Daniele Oriti (MPI for Gravitational Physics (Albert-Einstein-Institute), Potsdam-Golm)

We give an introduction to the group field theory approach to quantum gravity. This is a generalization of matrix models for 2d gravity to higher dimensions, and a framework that brings together elements from other approaches like loop quantum gravity, non-commutative geometry and simplicial quantum gravity. We also report on some recent results obtained in this context, concerning both the mathematical definition and properties of group field theory models and possible avenues for extracting physical predictions from them.