Fesenko Reciprocity Map

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Date

2009

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Amer Mathematical Soc

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Abstract

In recent papers, Fesenko has defined the non-Abelian local reciprocity map for every totally ramified arithmetically profinite (APF) Galois extension of a given local field K, by extending the work of Hazewinkel and Neukirch-Iwasawa. The theory of Fesenko extends the previous non-Abelian generalizations of local class field theory given by Koch-de Shalit, and by A. Gurevich. In this paper, which is research-expository in nature, we give a detailed account of Fesenko's work, including all the skipped proofs.

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Ikeda, Kazim Ilhan/0000-0001-6349-3541

Keywords

Local fields, higher-ramification theory, APF extensions, Fontaine-Wintenberger field of norms, Fesenko reciprocity map, non-Abelian local class field theory, p-adic local Langlands correspondence

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Q3

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Q4

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Volume

20

Issue

3

Start Page

407

End Page

445

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