Automorphisms of Manifolds and the Farrell Jones Conjectures

Explore the latest advancements in algebraic K-theory and L-theory of discrete group rings in this lecture from the Hausdorff Trimester Program on K-Theory and Related Fields. Delve into the recent extensions of the Farrell-Jones Conjecture to Waldhausen's algebraic K-theory of spaces. Examine how these generalizations enhance our understanding of the topology of high-dimensional, closed, aspherical manifolds, with a particular focus on their automorphism groups. Learn about the collaborative research conducted by Winges, Enkelmann, Kasprowski, Lück, Pieper, Ullmann, and Wegner, building upon the foundational work of Bartels, Lück, Reich, and others in this one-hour presentation.