The degrees of maps between (2n-1)-Poincare complexes Seminar

I shall describe results on degrees of maps between (n-2)-connected (2n-1)-dimensional Poincare complexes which have torsion free integral homology. In particular, necessary and sufficient algebraic conditions for the existence of map degrees between such Poincare complexes will be established and the calculation of the set of all map degrees between certain Poincare complexes will be illustrated. Time permitting, we shall see how the knowledge of possible degrees of self maps can be used to classify, up to homotopy, torsion free (n-2)-connected (2n-1)-dimensional Poincare complexes for low n.