National Science Library of Georgia

Modular forms and Galois cohomology / (Record no. 518302)

MARC details
000 -LEADER
fixed length control field 02974nam a22003978i 4500
001 - CONTROL NUMBER
control field CR9780511526046
003 - CONTROL NUMBER IDENTIFIER
control field UkCbUP
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20200124160238.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION
fixed length control field m|||||o||d||||||||
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr||||||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 090406s2000||||enk o ||1 0|eng|d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780511526046 (ebook)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9780521770361 (hardback)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9780521072083 (paperback)
040 ## - CATALOGING SOURCE
Original cataloging agency UkCbUP
Language of cataloging eng
Description conventions rda
Transcribing agency UkCbUP
050 00 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA243
Item number .H43 2000
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512/.73
Edition number 21
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Hida, Haruzo,
Relator term author.
245 10 - TITLE STATEMENT
Title Modular forms and Galois cohomology /
Statement of responsibility, etc Haruzo Hida.
246 3# - VARYING FORM OF TITLE
Title proper/short title Modular Forms & Galois Cohomology
264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R)
Place of production, publication, distribution, manufacture (R) Cambridge :
Name of producer, publisher, distributor, manufacturer (R) Cambridge University Press,
Date of production, publication, distribution, manufacture, or copyright notice 2000.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (x, 343 pages) :
Other physical details digital, PDF file(s).
336 ## - Content Type (R)
Content type term (R) text
Content type code (R) txt
Source (NR) rdacontent
337 ## - Media Type (R)
Media type term (R) computer
Media type code (R) c
Source (NR) rdamedia
338 ## - Carrier Type (R)
Carrier type term (R) online resource
Carrier type code (R) cr
Source (NR) rdacarrier
490 1# - SERIES STATEMENT
სერიის ცნობა Cambridge studies in advanced mathematics ;
Volume number/sequential designation 69
500 ## - GENERAL NOTE
General note Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 00 - FORMATTED CONTENTS NOTE
Miscellaneous information 1.
Title Overview of Modular Forms.
Miscellaneous information 1.1.
Title Hecke Characters.
Miscellaneous information 1.2.
Title Introduction to Modular Forms --
Miscellaneous information 2.
Title Representations of a Group.
Miscellaneous information 2.1.
Title Group Representations.
Miscellaneous information 2.2.
Title Pseudo-representations.
Miscellaneous information 2.3.
Title Deformation of Group Representations --
Miscellaneous information 3.
Title Representations of Galois Groups and Modular Forms.
Miscellaneous information 3.1.
Title Modular Forms on Adele Groups of GL(2).
Miscellaneous information 3.2.
Title Modular Galois Representations --
Miscellaneous information 4.
Title Cohomology Theory of Galois Groups.
Miscellaneous information 4.1.
Title Categories and Functors.
Miscellaneous information 4.2.
Title Extension of Modules.
Miscellaneous information 4.3.
Title Group Cohomology Theory.
Miscellaneous information 4.4.
Title Duality in Galois Cohomology --
Miscellaneous information 5.
Title Modular L-Values and Selmer Groups.
Miscellaneous information 5.1.
Title Selmer Groups.
Miscellaneous information 5.2.
Title Adjoint Selmer Groups.
Miscellaneous information 5.3.
Title Arithmetic of Modular Adjoint L-Values.
Miscellaneous information 5.4.
Title Control of Universal Deformation Rings.
520 ## - SUMMARY, ETC.
Summary, etc This book provides a comprehensive account of a key (and perhaps the most important) theory upon which the Taylor-Wiles proof of Fermat's last theorem is based. The book begins with an overview of the theory of automorphic forms on linear algebraic groups and then covers the basic theory and results on elliptic modular forms, including a substantial simplification of the Taylor-Wiles proof by Fujiwara and Diamond. It contains a detailed exposition of the representation theory of profinite groups (including deformation theory), as well as the Euler characteristic formulas of Galois cohomology groups. The final chapter presents a proof of a non-abelian class number formula and includes several new results from the author. The book will be of interest to graduate students and researchers in number theory (including algebraic and analytic number theorists) and arithmetic algebraic geometry.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Forms, Modular.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Galois theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Homology theory.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Print version:
International Standard Book Number 9780521770361
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Cambridge studies in advanced mathematics ;
Volume number/sequential designation 69.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.1017/CBO9780511526046">https://doi.org/10.1017/CBO9780511526046</a>

No items available.

Copyright © 2023 Sciencelib.ge All rights reserved.