https://neckpinch.com/authors/peter-scholze/New arXiv papers by Peter Scholze, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1709.07343/arxiv:1709.07343Thu, 21 Sep 2017 00:00:00 GMTPeter Scholze — Motivated by problems on the étale cohomology of Rapoport–Zink spaces and their generalizations, as well as Fargues's geometrization conjecture for the local Langlands correspondence, we develop a six functor formalism for the étale cohomology of diamonds, and more generally small v-stacks on the category of perfectoid spaces of characteristic p. Using a natural functor from analytic adic spaces over ℤₚ to diamonds which identifies étale sites, this induces a similar formalism in that setting, which in the noetherian setting recovers the formalism from Huber's book.Geometrization