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Kato's local epsilon conjecture: l ≠ p case

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Original languageEnglish
Pages (from-to)287-308
Number of pages22
JournalJOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES
Volume90
Issue number1
DOIs
PublishedAug 2014

King's Authors

Abstract

Let l and p be two distinct primes. Let K be a local field of characteristic 0 and residue characteristic l. In this paper, we prove existence of local epsilon(0)-constants for representations of Gal (K over bar /K) over Iwasawa algebras of p-adic Lie groups. Existence of these epsilon(0)-constants was conjectured by Kato (for commutative Iwasawa algebras) and Fukaya-Kato (in general).

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