Kato's local epsilon conjecture: l ≠ p case

Mahesh Kakde

doi:10.1112/jlms/jdu022

Kato's local epsilon conjecture: l ≠ p case

Mahesh Kakde^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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).

Original language	English
Pages (from-to)	287-308
Number of pages	22
Journal	JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES
Volume	90
Issue number	1
DOIs	https://doi.org/10.1112/jlms/jdu022
Publication status	Published - Aug 2014

Keywords

MAIN CONJECTURE
IWASAWA THEORY
GROUP-RINGS
CONSTANTS
FIELDS

Access to Document

10.1112/jlms/jdu022

Cite this

@article{97cdd75612294db0a707431fec1a08c1,

title = "Kato's local epsilon conjecture: l ≠ p case",

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).",

keywords = "MAIN CONJECTURE, IWASAWA THEORY, GROUP-RINGS, CONSTANTS, FIELDS",

author = "Mahesh Kakde",

year = "2014",

month = aug,

doi = "10.1112/jlms/jdu022",

language = "English",

volume = "90",

pages = "287--308",

journal = "JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES",

issn = "0024-6107",

publisher = "Oxford University Press",

number = "1",

}

TY - JOUR

T1 - Kato's local epsilon conjecture

T2 - l ≠ p case

AU - Kakde, Mahesh

PY - 2014/8

Y1 - 2014/8

N2 - 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).

AB - 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).

KW - MAIN CONJECTURE

KW - IWASAWA THEORY

KW - GROUP-RINGS

KW - CONSTANTS

KW - FIELDS

U2 - 10.1112/jlms/jdu022

DO - 10.1112/jlms/jdu022

M3 - Article

SN - 0024-6107

VL - 90

SP - 287

EP - 308

JO - JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES

JF - JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES

IS - 1

ER -

Kato's local epsilon conjecture: l ≠ p case

Abstract

Keywords

Access to Document

Fingerprint

Cite this