Non-perturbative summation over 3D discrete topologies
  We construct a group field theory which realizes the sum of gravity amplitudes over all three dimensional topologies trough a perturbative expansion. We prove this theory to be uniquely Borel summable. This shows how to define a non-perturbative summation over triangulations including all topologies in the context of three dimensional discrete gravity. 
Laurent Freidel (PI), David Louapre (ENS Lyon)