The project aims at the promotion of research in one of the important central areas of Mathematics. The classification of manifolds has been one of the most important research areas in mathematics in the last 40 years. In the fifties and sixties a good understanding of simply connected high-dimensional manifolds was achieved. A key obstacle in the non-simply connected case is the calculation of certain invariants in algebraic K- and L-theory. New developments in the last ten years give good hope to carry out these calculations. These are in particular the Farrell-Jones isomorphism conjecture in algebraic K- and L- theory, and the Borel conjecture. They have recently been proven for a large class of groups arising from geometry.
The School will give an opportunity to young researchers and established mathematicians to gain access to this lively area and to interact with the leading experts.
The aim of the School, which is being organized by two outstanding experts in the field, F.T. Farrell and W. Lück, is to survey the progress in the field and to introduce young researchers to the state of the art.