Modular forms and Galois cohomology

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 re...

Full description

Main Author: Hida, Haruzo
Format: eBook
Language:English
Published: Cambridge Cambridge University Press 2000
Series:Cambridge studies in advanced mathematics
Subjects:
Online Access:
Collection: Cambridge Books Online - Collection details see MPG.ReNa
LEADER 01759nmm a2200289 u 4500
001 EB001382359
003 EBX01000000000000000905324
005 00000000000000.0
007 cr|||||||||||||||||||||
008 170324 ||| eng
020 |a 9780511526046 
050 4 |a QA243 
100 1 |a Hida, Haruzo 
245 0 0 |a Modular forms and Galois cohomology  |c Haruzo Hida 
246 3 1 |a Modular Forms & Galois Cohomology 
260 |a Cambridge  |b Cambridge University Press  |c 2000 
300 |a x, 343 pages  |b digital 
653 |a Forms, Modular 
653 |a Galois theory 
653 |a Homology theory 
041 0 7 |a eng  |2 ISO 639-2 
989 |b CBO  |a Cambridge Books Online 
490 0 |a Cambridge studies in advanced mathematics 
856 |u https://doi.org/10.1017/CBO9780511526046  |x Verlag  |3 Volltext 
082 0 |a 512.73 
520 |a 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