TITLE: Applications of alterations
QUESTION [10 upvotes]: In 1995, de Jong proved the existence of regular alterations in arbitrary characteristic. I would like to have a little survey of important applications of this theorem, e.g. things you could do if you had resolution of singularities, but for which alterations are sufficient.
I am aware of the 1996 Bourbaki article by Berthelot, however I guess that many new developments have taken place since then.

REPLY [2 votes]: It is (in the form of Gabber's generalisation) applied in Luc Illusie, Yves Laszlo, Fabrice Orgogozo, Travaux de Gabber sur l'uniformisation locale et la cohomologie etale des schemas quasi-excellents https://arxiv.org/abs/1207.3648 to finiteness statements and purity in étale cohomology.