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Étale cohomology, purity and formality with torsion coefficients Cirici, Joana Horel, Geoffroy Teoria de l'homotopia Topologia algebraica Anells associatius Homotopy theory Algebraic topology Associative rings We use Galois group actions on étale cohomology to prove results of formality for dg-operads and dg-algebras with torsion coefficients. Our theory applies, among other related objects, to the dg-operad of singular chains of the operad of little disks and to the dg-algebra of singular cochains of the configuration space of points in the complex space. The formality that we obtain is only up to a certain degree, which depends on the cardinality of the field of coefficients. 2023-03-17T08:48:57Z 2023-10-27T05:10:30Z 2022-10-27 2023-03-17T08:48:57Z info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Versió postprint del document publicat a: https://doi.org/10.1112/topo.12273 Journal Of Topology, 2022, vol. 15, num. 4, p. 2270-2297 https://doi.org/10.1112/topo.12273 (c) London Mathematical Society, 2022 info:eu-repo/semantics/openAccess Wiley Articles publicats en revistes (Matemàtiques i Informàtica)