DOI: 10.4171/OWR/2011/27 New Directions in Algebraic K-Theory

Abstract. This meeting brought together algebraic geometers, algebraic topologists and geometric topologists, all of whom use algebraic K-theory. The talks and discussions involved all the participants. Mathematics Subject Classification (2000): 19xx. Introduction by the Organisers There have been dramatic advances in algebraic K-theory recently, especially in the computation and understanding of negative K-groups and of nilpotent phe-nomena in algebraic K-theory. Parallel advances have used remarkably different methods. Quite complete computations for the algebraic K-theory of commuta