Elementary Modular Iwasawa Theory (Hardcover)

This book is the first to provide a comprehensive and elementary account of the new Iwasawa theory innovated via the deformation theory of modular forms and Galois representations. The deformation theory of modular forms is developed by generalizing the cohomological approach discovered in the author's 2019 AMS Leroy P Steele Prize-winning article without using much algebraic geometry.Starting with a description of Iwasawa's classical results on his proof of the main conjecture under the Kummer-Vandiver conjecture (which proves cyclicity of his Iwasawa module more than just proving his main conjecture), we describe a generalization of the method proving cyclicity to the adjoint Selmer group of every ordinary deformation of a two-dimensional Artin Galois representation.The fundamentals in the first five chapters are as follows:Many open problems are presented to stimulate young researchers pursuing their field of study.

General

Imprint:	World Scientific Publishing Co Pte Ltd
Country of origin:	Singapore
Series:	Series on Number Theory and Its Applications, 16
Release date:	October 2021
First published:	2022
Authors:	Haruzo Hida
Dimensions:	159 x 237 x 31mm (L x W x T)
Format:	Hardcover
Pages:	448
ISBN-13:	978-981-12-4136-9
Categories:	Books > Science & Mathematics > Mathematics > Number theory > General
LSN:	981-12-4136-8
Barcode:	9789811241369

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!