Etale cohomology is an important branch in arithmetic geometry. This book covers the main materials in SGA 1, SGA 4, SGA 4 1/2 and SGA 5 on etale cohomology theory, which includes decent theory, etale fundamental groups, Galois cohomology, etale cohomology, derived categories, base change theorems, duality, and l-adic cohomology. The prerequisites for reading this book are basi...(展开全部)

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...(展开全部)

De Rham cohomology is the cohomology of differential forms. This book offers a self-contained exposition to this subject and to the theory of characteristic classes from the curvature point of view. It requires no prior knowledge of the concepts of algebraic topology or cohomology. The first 10 chapters study cohomology of open sets in Euclidean space, treat smooth manifolds an...(展开全部)

帕拉•尤格拉（Palle Yourgrau），美国布兰迪斯大学哲学教授，主要涉猎的领域有语 言哲学、数学哲学，以及柏拉图、亚里士多德、西蒙娜•薇依等哲学家的专题研究。除本书外，他还是哥德尔和爱因斯坦的传记作者，著有《没有时间的世界：哥德尔和爱因斯坦被遗忘的遗产》等。 译者余东，英语文学翻译博士，广东外语外贸大学翻译学院教授。中国翻译协会专家会 员，中国英汉语比较研究会会员。