A Farrell-Jones Isomorphism for Scissors Congruence K-Theory

Explore a groundbreaking lecture on the Farrell-Jones isomorphism for scissors congruence K-theory. Delve into the intricacies of a newly developed trace map connecting scissors congruence K-theory to group homology. Discover how a refined version of this map serves as an inverse to the assembly map, effectively proving the Farrell-Jones isomorphism for this particular form of K-theory. Gain insights into this collaborative research conducted by Cary Malkiewich, Mona Merling, and Inna Zakharevich, presented at the Hausdorff Center for Mathematics in a concise 50-minute talk.