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Université Lille 1 - Salle de réunions
Arithmetic geometry and Galois theory
Generalised perfectoid rings and perfectoid spaces
Scholze's theory of perfectoid rings and perfectoid spaces is rather recent, but it has already had some spectacular applications to étale cohomology, p-adic Hosge theory and p-adic representations. I will present a generalization of this theory that I am developing in collaboration with Ofer Gabber. I will also explain the questions that have led us to this generalization.