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We take the first steps in a systematic study of Group Field Theoryrenormalization, focusing on the Boulatov model for 3D quantum gravity. Wedefine an algorithm for constructing the 2D triangulations that characterizethe boundary of the 3D bubbles, where divergences are located, of an arbitrary3D GFT Feynman diagram. We then identify a special class of graphs for which acomplete contraction procedure is possible, and prove, for these, a completepower counting. These results represent important progress towardsunderstanding the origin of the continuum and manifold-like appearance ofquantum spacetime at low energies, and of its topology, in a GFT framework.

Group field theory renormalization - the 3d case: power counting of divergences