Représentations p-adiques cristallines et de de Rham dans le cas relatif

By Olivier Brinon. 2008

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Relative p-adic Hodge theory, II: Imperfect period rings (2016, methodology): “(This definition follows that given in the erratum to [96], which in turn follows [17]; the definition in the text of [96] is missing the p-adic completion.”
Integral p$p$-adic Hodge theory (2016, unknown): “One finishes by observing that the cohomology of OB+dR,X [ξ ] is the same as the cohomology of OX⊗̂KBdR, which follows from a direct Galois cohomology computation, due to Brinon, [18].”
Perfectoid Spaces: A survey (2013, methodology): “The proof makes use of the period rings introduced in Brinon’s book [5], and relies on some of the computations of Galois cohomology groups done there.”
Syntomic complexes and p-adic nearby cycles (2015, background): “This kind of rings [63, 14] originate in linearizations of differential operators.”
$p$ -ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES (2012, unknown): “In [5] and [2], B+dR would be called B ∇+ dR , and OB+dR would be called B + dR.”