Simple model for quantum general relativity from loop quantum gravity

New progress in loop gravity has lead to a simple model of 'general-covariant quantum field theory'. I sum up the definition of the model in self-contained form, in terms accessible to those outside the subfield. I emphasize its formulation as a generalized topological quantum field theory with an infinite number of degrees of freedom, and its relation to lattice theory. I list the indications supporting the conjecture that the model is related to general relativity and UV finite. (This contribution has appeared also in the "Spanish Relativity Meeting (ERE2010) Proceedings" in the open access Journal of Physics: Conference Series (JPCS))