0
Your cart

Your cart is empty

Books > Science & Mathematics > Mathematics > Topology > Algebraic topology

Buy Now

Noncommutative Iwasawa Main Conjectures over Totally Real Fields - Munster, April 2011 (Paperback, 2013 ed.) Loot Price: R5,665
Discovery Miles 56 650
Noncommutative Iwasawa Main Conjectures over Totally Real Fields - Munster, April 2011 (Paperback, 2013 ed.): John Coates,...

Noncommutative Iwasawa Main Conjectures over Totally Real Fields - Munster, April 2011 (Paperback, 2013 ed.)

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

Series: Springer Proceedings in Mathematics & Statistics, 29

 (sign in to rate)
Loot Price R5,665 Discovery Miles 56 650 | Repayment Terms: R531 pm x 12*

Bookmark and Share

Expected to ship within 10 - 15 working days

The 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. Kakde's proof is a beautiful development of these ideas of Kato, combined with an idea of Burns, and essentially reduces the study of the non-abelian main conjectures to abelian ones. The approach of Ritter and Weiss is more classical, and partly inspired by techniques of Frohlich and Taylor. Since many of the ideas in this book should eventually be applicable to other motives, one of its major aims is to provide a self-contained exposition of some of the main general themes underlying these developments. The present volume will be a valuable resource for researchers working in both Iwasawa theory and the theory of automorphic forms.

General

Imprint: Springer-Verlag
Country of origin: Germany
Series: Springer Proceedings in Mathematics & Statistics, 29
Release date: November 2014
First published: 2013
Editors: John Coates • Peter Schneider • R. Sujatha • Otmar Venjakob
Dimensions: 235 x 155 x 12mm (L x W x T)
Format: Paperback
Pages: 208
Edition: 2013 ed.
ISBN-13: 978-3-642-44335-0
Categories: Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
Books > Science & Mathematics > Mathematics > Topology > Algebraic topology
Books > Science & Mathematics > Mathematics > Number theory > General
Promotions
LSN: 3-642-44335-4
Barcode: 9783642443350

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!

You might also like..

Differential Geometry - Bundles…
Clifford Henry Taubes Hardcover R4,015 Discovery Miles 40 150
Michael Atiyah Collected Works - Volume…
Michael Atiyah Hardcover R9,656 Discovery Miles 96 560
Cyclic Modules and the Structure of…
S.K. Jain, Ashish K. Srivastava, … Hardcover R5,490 Discovery Miles 54 900
Galois Covers, Grothendieck-Teichmuller…
Frank Neumann, Sibylle Schroll Hardcover R4,403 Discovery Miles 44 030
A Tale of Two Fractals
A.A. Kirillov Hardcover R1,827 Discovery Miles 18 270
From Quantum Cohomology to Integrable…
Martin A. Guest Hardcover R3,315 Discovery Miles 33 150
Singularities and Their Interaction with…
Javier Fernandez de Bobadilla, Tamas Laszlo, … Hardcover R5,072 Discovery Miles 50 720
2016 MATRIX Annals
David R. Wood Hardcover R4,122 Discovery Miles 41 220
Motivic Integration
Antoine Chambert-Loir, Johannes Nicaise, … Hardcover R3,776 Discovery Miles 37 760
Classical Hopf Algebras and Their…
Pierre Cartier, Frederic Patras Hardcover R3,638 Discovery Miles 36 380
Surface-Knots in 4-Space - An…
Seiichi Kamada Hardcover R2,442 R2,038 Discovery Miles 20 380
Operator Algebras and Applications - The…
Toke M. Carlsen, Nadia S. Larsen, … Hardcover R7,161 Discovery Miles 71 610

See more

Partners