
Resumo: In this talk we will explain some properties of augmentations: pull-backs of stable one-parameter unfoldings of map-germs via singular functions. We will give an upper bound on their $\mathcal{A}_e$-codimension and use it to reduce Mond's conjecture to the case of non-augmentations. In this line, we'll comment on some similar conjectures that arise from the comparison with the Milnor-Tjurina relations. We'll finish by commenting on how to distinguish $\mathcal A$-classes of augmentations and giving some results on their simplicity.