Introduction to the Farrell-Jones Conjecture
Tue, Jul 7, 2015
PIMS, University of British Columbia
PIMS Symposium on the Geometry and Topology of Manifolds
The Farrell-Jones Conjecture identifies the algebraic K- and L-groups for group rings with certain equivariant homology groups. We will give some details of its formulation, its status and indicate some ideas of proofs for certain classes of groups. We will try to convince the audience about its significance by considering special cases and presenting the surprizing large range of its applications to prominent problems in topology, geometry, and group theory.