群的上同调与代数K-理论

群的上同调与代数K-理论

季理真, 刘克峰, 丘成桐, 主编

出版社:高等教育出版社

年代:2009

定价:69.0

书籍简介:

本书是基于2007年7月浙江大学数学科学研究中心在杭州举办的的《Cohomology of Groups and Algebraic K-theory》的国际暑期学校报告的基础上编写的。会议邀请了数十位该领域的专家进行了有关群的上同调和代数K-理论及其广泛应用的报告,并包含了DanielQuillen关于代数K-理论的两篇基础性文章。群的上同调是现代数学中许多学科的基础性工具,代数K-理论是一个重要的广义上同调理论。而环上的代数K-群是环的重要不变量,在代数学、拓扑学和数论中都起到了重要的作用。本书是青年学者和相关专业人士学习这一重要领域的重要参考资料。

书籍目录:

Arthur Bartels and Wolfgang Liick: On Crossed Product Rings with Twisted Involutions, Their Module Categories and L-Theory

Oliver Baues: Deformation Spaces for A~ne Crystallographic Groups...

Kenneth S. Brown : Lectures on the Cohomology of Groups

Daniel R. Grayson : A Brief Introduction to Algebraic K-Theory

Daniel duan-Pineda and Silvia Millan-Lopez : The Braid Groups of RP2 Satisfy the Fibered Isomorphism Conjecture

Max Karoubi: K-Theory, an Elementary Introduction

Max Karoubi: Lectures on K-Theory.

Wolfqang Liick: On the Farrell-Jones and Related Conjectures

Stratos Prassidis: Introduction to Controlled Topology and Its Applications

tIouron9 Qin: Lecture Notes on K-Theory

Daniel Quillen: Higher Algebraic K-Theory: I

Daniel Quillen : Finite Generation of the Groups K, of Rings of Algebraic Integers

David Rosenthal: A User's Guide to Continuously Controlled Algebra

Christophe Sould(Notes by Marco Varisco): Higher K-Theory of Algebraic Integers and the Cohomology of Arithmetic Groups

内容摘要:

Cohomology of groups is a fundamental tool in many subjects in modernmathematics. One important generalized cohmnology theory is the algebraic Ktheory,and algebraic K-groups of rings such as rings of integers and group ringsare important invariants of the rings. They have played important roles in algebra,geometric and algebraic topology, number theory, representation theory etc. Cohomologyof groups and algebraic K-groups are also closely related. For example,algebraic K-groups of rings of integers in number fields can be effectively studiedby using cohomology of arithmetic groups.

书籍规格:

书籍详细信息
书名群的上同调与代数K-理论站内查询相似图书
9787040266269
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出版地北京出版单位高等教育出版社
版次1版印次1
定价(元)69.0语种英文
尺寸26 × 0装帧平装
页数印数 1500

书籍信息归属:

群的上同调与代数K-理论是高等教育出版社于2009.9出版的中图分类号为 O152 ,O154.3 的主题关于 群论-研究-英文 ,代数K理论-研究-英文 的书籍。