Regensburg

The algebraic K-theory of a space encodes important invariants of the space which are of interest in both homotopy theory and geometric topology. 

In this talk, I will discuss properties of transfer maps in the algebraic K-theory of spaces ('wrong-way' maps) in connection with index theorems for (smooth or topological) manifold bundles and also compare these maps with other related constructions such as the Becker-Gottlieb transfer and the Waldhausen trace.