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Kley, Marius: Etale (Phi, Gamma)-modules with values in linear algebraic groups. 2019
Inhalt
Introduction & Summary
Notation
Period Rings and Motivation
Preliminaries and Actions in the Torsion Case
Ramified Witt Vectors
Lubin-Tate Extensions
Perfectoid Fields and Tilting
Topologies and the Period Rings
Weak Topologies and Actions
The Period Ring
Unramified Extensions
Modules and Motivation
Etale (L,K)-Modules
Motivation
The Case of Characteristic p Coefficients
General Theories
Tannakian Categories
Theorem of Lang-Steinberg
Pure Inner Forms
The Correspondences
Galois Representations as Tannakian Functors
Galois Representations and Etale (L,K)-Modules
The Perfect versus the Nonperfect Case
Examples
Some Calculations for Semisimple Groups
The Case of Characteristic 0 Coefficients
General Theories
Injectivity on H1
(Formal) Groups over Discrete Valuation Rings
Lifting Lang-Steinberg
The Correspondences
Lifting HK-Invariants
Galois Representations and Etale (L,K)-Modules
Thoughts on the Quotientfield Case
References