Galois Representations and (Phi, Gamma)-Modules
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Publication:2977654
DOI10.1017/9781316981252zbMath1383.11001OpenAlexW2611803515MaRDI QIDQ2977654
Publication date: 19 April 2017
Full work available at URL: https://doi.org/10.1017/9781316981252
\((\varphi, \Gamma)\)-modulesperfectoid spaceshigher local fieldsfield of normsLubin-Tate formal groupsp-adic Galois representationstiltsramified Witt vectors
Galois theory (11S20) Integral representations (11S23) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Langlands-Weil conjectures, nonabelian class field theory (11S37) Class field theory; (p)-adic formal groups (11S31)
Related Items (13)
On $$\psi $$-Lattices in Modular $$(\varphi ,\Gamma )$$-Modules ⋮ Herr‐complexes in the Lubin–Tate setting ⋮ Compairing categories of Lubin-Tate \((\varphi_L,\Gamma_L)\)-modules ⋮ Arithmetic jet spaces ⋮ Greenberg algebras and ramified Witt vectors ⋮ Drinfeld's lemma for perfectoid spaces and overconvergence of multivariate \((\varphi, \Gamma)\)-modules ⋮ Supersingular Hecke modules as Galois representations ⋮ Conjecture a and \(\mu\)-invariant for Selmer groups of supersingular elliptic curves ⋮ Complex orientations for 𝑇𝐻𝐻 of some perfectoid fields ⋮ Galois cohomology for Lubin-Tate \((\varphi_q,\Gamma_{LT})\)-modules over coefficient rings ⋮ Arithmetic equivalence for non-geometric extensions of global function fields ⋮ Multivariable $(\varphi ,\Gamma )$-modules and representations of products of Galois groups: The case of the imperfect residue field ⋮ Coates–Wiles Homomorphisms and Iwasawa Cohomology for Lubin–Tate Extensions
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