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Galois representations and Lubin-Tate groups. (English) Zbl 1246.11112

Summary: Using Lubin-Tate groups, we develop a variant of Fontaine’s theory of \((\varphi, \Gamma)\)-modules, and we use it to give a description of the Galois stable lattices inside certain crystalline representations.

MSC:

11F80 Galois representations
11S20 Galois theory
14F30 \(p\)-adic cohomology, crystalline cohomology
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