Prof. Bohmann hosts Collaborative Research Workshop on K-theory and Scissors Congruence
Vanderbilt University’s Math Department is hosting the Collaborative Research Workshop on K-theory and Scissors Congruence during the week of July 29 to August 2, 2024. The theory of scissor congruence starts with the classical fact that if we have two polygons of the same area, we can cut the first one into pieces and reassemble the pieces in order to obtain the second polygon. The three-dimensional version of this problem was famously posed by David Hilbert and solved by Max Dehn (it turns out there are polyhedra that have the same volume and cannot be cut up and reassembled into eachother!).
The Collaborative Research Workshop brings together five teams of mathematicians from around the world for an intensive week of research on problems that touch on fields ranging from algebro-geometric invariants to constructions on manifolds to algebraic K-theory. Each team has been collaborating remotely since January and the goal of this workshop is to provide focused in-person research time to push the projects into high gear. Additionally, the workshop provides an opportunity for the more junior team participants to broaden their research outlook and their professional networks.
This workshop is primarily supported by the National Science Foundation through a Focused Research Group award on which Anna Marie Bohmann is a Principal Investigator.