By Haruzo Hida

The 1995 paintings of Wiles and Taylor-Wiles spread out a complete new strategy in algebraic quantity conception and, a decade on, the waves because of this tremendously very important paintings are nonetheless being felt. This publication, authored by way of a number one researcher, describes the awesome purposes which were stumbled on for this system. within the booklet, the deformation theoretic concepts of Wiles-Taylor are first generalized to Hilbert modular types (following Fujiwara's treatment), and a few functions came upon by means of the writer are then mentioned. With many workouts and open questions given, this article is perfect for researchers and graduate scholars coming into this examine area.

Show description

Read Online or Download Hilbert Modular Forms and Iwasawa Theory (Oxford Mathematical Monographs) PDF

Best number theory books

A Course in p-adic Analysis (Graduate Texts in Mathematics)

Stumbled on on the flip of the 20 th century, p-adic numbers are often utilized by mathematicians and physicists. this article is a self-contained presentation of simple p-adic research with a spotlight on analytic themes. It deals many positive aspects not often handled in introductory p-adic texts similar to topological versions of p-adic areas inside of Euclidian house, a different case of Hazewinkel’s useful equation lemma, and a therapy of analytic parts.

Elliptic Tales: Curves, Counting, and Number Theory

Elliptic stories describes the most recent advancements in quantity conception by means of taking a look at the most interesting unsolved difficulties in modern mathematics—the Birch and Swinnerton-Dyer Conjecture. during this publication, Avner Ash and Robert Gross advisor readers throughout the arithmetic they should comprehend this appealing challenge.

The Theory of Remainders (Dover Books on Mathematics)

An imaginitive advent to quantity idea, this special approach employs a couple of fictional characters, Ant and Gnam. Ant leads Gnam via quite a few theories, and jointly, they placed the theories into action—applying linear diophantine equations to soccer scoring, utilizing a black-magic machine to simplify difficulties in modular buildings, and constructing interesting ameliorations to the foundations of chess.

Numeri e Crittografia (UNITEXT) (Italian Edition)

Il libro tratta di metodi di crittografia e sistemi, con particolare enfasi alla teoria dei numeri. Il libro è rivolto agli studenti universitari del nuovo ordinamento che debbano seguire un corso base di teoria dei numeri e crittografia. Il quantity è impostato in modo chiaro e sistematico, in modo da rendere facilmente accessibile l. a. materia agli studenti di matematica e informatica, fornendo peraltro parecchie descrizioni di applicazioni computazionali.

Extra info for Hilbert Modular Forms and Iwasawa Theory (Oxford Mathematical Monographs)

Example text

Download PDF sample

Rated 4.48 of 5 – based on 45 votes