Rigid character groups, Lubin-Tate theory, and (φ,Γ)-modules /

Rigid character groups, Lubin-Tate theory, and (φ,Γ)-modules /

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Bibliographic Details
Main Authors:	Berger, Laurent, 1976- (Author), Schneider, Peter (Author), Xie, Bingyong (Author)
Format:	Book
Language:	English
Published:	Providence, RI : American Mathematical Society, 2020 Providence, Rhode Island : [2020]
Series:	Memoirs of the American Mathematical Society ; Volume 263, Number 1275 Memoirs of the American Mathematical Society ; v. 1275
Subjects:	Algebraic number theory Class field theory Number theory Algebraic geometry > Arithmetic problems. Diophantine geometry [See also 11Dxx, 11Gxx] > Rigid analytic geometry Algebraic geometry > Arithmetic problems. Diophantine geometry [See also 11Dxx, 11Gxx] > Rigid analytic geometry Commutative algebra > Arithmetic rings and other special rings > Dedekind, Prüfer, Krull and Mori rings and their generalizations Commutative algebra > Arithmetic rings and other special rings > Dedekind, PrÃ1/4fer, Krull and Mori rings and their generalizations Commutative algebra > Topological rings and modules [See also 16W60, 16W80] > Power series rings [See also 13F25] Field theory and polynomials > Differential and difference algebra > $p$-adic differential equations [See also 11S80, 14G20] Functional analysis {For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx} > Other (nonclassical) types of functional analysis [See also 47Sxx] > Functional analysis over fields othe Functional analysis {For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx} > Other (nonclassical) types of functional analysis [See also 47Sxx] > Functional analysis over fields othe Number theory > Algebraic number theory: local and $p$-adic fields > Class field theory; $p$-adic formal groups [See also 14L05] Number theory > Algebraic number theory: local and $p$-adic fields > Galois theory Number theory > Algebraic number theory: local and $p$-adic fields > Langlands-Weil conjectures, nonabelian class field theory [See also 11Fxx, 22E50] Number theory > Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45} > Galois representations Topological groups, Lie groups {For transformation groups, see 54H15, 57Sxx, 58-XX. For abstract harmonic analysis, see 43-XX} > Lie groups {For the topology of Lie groups and homogeneous spaces, see

Table of Contents:

Introduction Chapter 1. Lubin-Tate theory and the character variety Chapter 2. The boundary of $\mathfrak X$ and $(\varphi _L,\Gamma _L)$-modules Chapter 3. Construction of $(\varphi _L,\Gamma _L)$-modules