Andrew Ranicki and his theory of algebraic surgery played a central role in linking manifold theory, algebraic K-theory, and its close cousin L-theory. These areas have seen great developments and advances in the last decade from distinct research communities. This workshop brought together mathematicians working on the topology of high-dimensional manifolds and their automorphisms with those working on the algebraic K-theory (and its cousins hermitian K-theory and L-theory) of rings and ring spectra, in order to share recent progress in these areas and kindle a fresh interaction between them.
 
Directly within the theme of this workshop is the major recent work of Calmès, Dotto, Harpaz, Hebestreit, Land, Moi, Nardin, Nikolaus, and Steimle on Grothendieck–Witt theory, which played a role in several talks. Fabian Hebestreit had prepared introductory lectures to this circle of ideas which served as good preparation for those participants not yet familiar with it. Please see links below to recordings of Fabian’s lectures: