NettetBiography. Tate was born in Minneapolis, Minnesota.His father, John Tate Sr., was a professor of physics at the University of Minnesota, and a longtime editor of Physical Review.His mother, Lois Beatrice Fossler, was a high school English teacher. Tate Jr. received his bachelor's degree in mathematics in 1946 from Harvard University, and … NettetThis week: Proof of Hodge-Tate Decomposition In this subsection, we derive the first main result for this chapter by exploiting our accumulated knowledge of finite flat group schemes andp-divisible groups. Let us first present some easy but useful lemmas. 1 Proof of Hodge-Tate Decomposition Lemma 1.1. Let G= lim −→ G v be a p-divisible ...
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NettetSaison 2024 de Super Rugby. La saison 2024 de Super Rugby est la vingt-huitième édition de cette compétition de rugby à XV. Elle est disputée par douze franchises, cinq d' Australie, six de Nouvelle-Zélande et une des Fidji . … NettetHodge-Tate representations are stable under duality, tensor product, direct sum, and passage to submodules and quotients. Serre says this on p471 of Ouevres III (his … cozzies shoes
Inertial and Hodge–Tate weights of crystalline representations
Nettet5 timer siden · His legal strategy has pleased many people, including Tate and Adesanya, who praised Hakimi for his clever approach. My G. — Andrew Tate (@Cobratate) April … Nettet20. nov. 2024 · Let \(K/{\mathbb {Q}}_p\) be a finite unramified extension with residue field k.In this paper we show that if the Hodge–Tate weights of a crystalline representation \(\rho \) of \(G_K\) are sufficiently small then these weights are encoded in an explicit way by the reduction of \(\rho \) modulo p.Using Fontaine–Laffaille theory this is known for … Nettetfold. The proof of the Hodge decomposition for Xrelies on working locally on Xin the analytic topology (rather than the Zariski topology), i.e., on thinking about Xas a manifold rather than an algebraic variety. One could hope for a p-adic “analytic” proof of the Hodge-Tate decomposition. 1.3. The Hodge-Tate spectral sequence. disney toy monorail value