I will report on recent advances in the definition of the solution theory to some singular stochastic PDEs, in connection with the construction of Euclidean QFTs. Hairer, in 2014, and Gubinelli-Imkeler-Perkowski, in 2015, have made sense of a wide class of singular stochastic PDEs, including the Langevin dynamics that leave some EQTFs invariant. If I have time, I will then describe how these techniques can be adapted in order to deal with some non-local models inspired by Group Field Theory/Quantum Gravity, based on a joint work with Ajay Chandra.
