Christoph Winges: Automorphisms of manifolds and the Farrell Jones conjectures

The lecture was held within the framework of the Hausdorff Trimester Program: K-Theory and Related Fields.

Building on previous work of Bartels, Lück, Reich and others studying the algebraic K-theory and L-theory of discrete group rings, the validity of the Farrell-Jones Conjecture has been recently extended to the setting of Waldhausen's algebraic K-theory of spaces in numerous cases. I will discuss these generalisations and how they contribute to our understanding of the topology of high-dimensional, closed, aspherical manifolds, in particular of their automorphism groups.

This talk covers joint work with Enkelmann, Kasprowski, Lück, Pieper, Ullmann and Wegner.