I discuss the general motivating ideas about how cosmology could emerge from full quantum gravity in a TGFT formalism. In particular, I emphasize the use of discrete quantum geometric data, at the technical level, and the focus on relational observables for defining time evolution and spatial localization, at the conceptual level. I then summarize how these ideas have a concrete implementation in TGFT models with mixed local and non-local directions. In this context, I overview recent results on emerging bouncing cosmology at early times, phantom-like dark energy at late times and cosmological perturbations.
Joseph Ben Geloun, Fabien Vignes-Tourneret