Ariel Molinuevo Title: Rational pull-backs of toric foliations Abstract: First I will make a brief presentation of codimension one foliations in PP^n. Then, after giving the main facts about toric varieties and in the case of X being a toric surface, I will talk about foliations in PP^n given by the pullback by a rational map F: PP^n \to X of a foliation in X. I will discuss their singular locus and I will show how to compute its first order unfoldings and some of its first order deformations. This is a joint work with Javier Gargiulo Acea and Sebastián Velazquez. Link to arxiv: https://arxiv.org/abs/2007.08495