Cohomology of p-adic Analytic Groups

By Peter Symonds, T. Weigel. 2000

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Gross–Hopkins duality (2000, unknown): “A T ] 1 6 N ov 2 00 0”
The cohomology of locally analytic representations (2010, background): “[25], Chapitre V, which was given a modern treatment in [39]).”
Homotopy fixed point spectra for closed subgroups of the Morava stabilizer groups (2004, methodology): “We therefore use this as our deÿnition of H * c (G; M ); see also [31] for a more general treatment of this object.”
A modular description of the K(2)-local sphere at the prime 3 (2005, background): “U is a closed subgroup of the p-adic analytic group G, we may 42 conclude that the cohomology groups Hs c(H∩EtM) are ﬁnite for each sand t(combine Theorem 5.1.2, Lemma 5.1.4, and Proposition 4.2.2 of [47]). We deduce that the Y-homology Y∗EhH is ﬁnite in each degree. ✷ Proof of Lemma 2.3.5. It suﬃce”