Electronic Resource

Noncommutative iwasawa main conjectures over totally real fields

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he algebraic techniques developed by Kakde will almost certainly lead eventually to major progress in the study of congruences between automorphic forms and the main conjectures of non-commutative Iwasawa theory for many motives. Non-commutative Iwasawa theory has emerged dramatically over the last decade, culminating in the recent proof of the non-commutative main conjecture for the Tate motive over a totally real p-adic Lie extension of a number field, independently by Ritter and Weiss on the one hand, and Kakde on the other. The initial ideas for giving a precise formulation of the non-commutative main conjecture were discovered by Venjakob, and were then systematically developed in the subsequent papers by Coates-Fukaya-Kato-Sujatha-Venjakob and Fukaya-Kato. There was also parallel related work in this direction by Burns and Flach on the equivariant Tamagawa number conjecture. Subsequently, Kato discovered an important idea for studying the K_1 groups of non-abelian Iwasawa algebras in terms of the K_1 groups of the abelian quotients of these Iwasawa algebras.

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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

E768

Penerbit

Jerman : Springer Berlin, Heidelberg., 2013

Deskripsi Fisik

xii, 208 hlm.

Bahasa

English

ISBN/ISSN

9783642321993

Klasifikasi

NONE

Tipe Isi

text

Tipe Media

computer

Tipe Pembawa

online resource

Edisi

-

Subjek

Aljabar : Geometri

Info Detail Spesifik

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Pernyataan Tanggungjawab

John Coates, Peter Schneider, R. Sujatha, Otmar Venjakob

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