Advanced Lectures in Mathematics (ALM 12):Cohomology of Groups and Algebraic K-theory

群的上同调与代数K-理论

Price: $37.00


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Author: Ji Lizhen and Qiu Chengtong
Language: English
ISBN/ISSN: 9787040266269
Published on: 2009-01
Hardcover

Cohomology of groups is a fundamental tool in many subjects in modern mathematics. One important generalized cohomology theory is the algebraic K-theory.Indeed, algebraic K-groups of rings are important invariants of the rings and have played important roles in algebra, topology, number theory etc. This volume consists of expanded lecture notes of an international summer school, where several leading experts give introductions to and surveys of many aspects of cohomology of groups and algebraic K-theory and their broad applications. It also includes two foundational papers on algebraic K-theory by Daniel Quillen.

Arthur Barrels and Wolfgang Liick: On Crossed Product Rings with Twisted Involutions, Their Module Categories and L-Theory .
Oliver Baues: Deformation Spaces for Affine Crystallographic Groups
Kenneth S. Brown: Lectures on the Cohomology of Groups
Daniel R. Grayson: A Brief Introduction to Algebraic K-Theory
Daniel Juan-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
Wolfgang Luck: On the Farrell-Jones and Related Conjectures ..
Stratos Prassidis: Introduction to Controlled Topology and Its Applications
Hourong Qin: Lecture Notes on K-Theory
Daniel Quillen: Higher Algebraic K-Theory: I
Daniel Quillen: Finite Generation of the Groups Ki of Rings of Algebraic Integers
David Rosenthal: A User's Guide to Continuously Controlled Algebra
Christophe Soule(Notes by Marco Varisco) : Higher K-Theory of Algebraic Integers and the Cohomology of Arithmetic Groups


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