Cohomology of Groups and Algebraic K-theory

Cohomology of groups is a fundamental tool in many subjects of 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 from a 2007 seminar at Zhejiang University in China, at which several leading experts presented introductions to and surveys of many aspects of cohomology of groups and algebraic $K$-theory, along with their broad applications. Two foundational papers on algebraic $K$-theory by Daniel Quillen are also included.