This Collaborative Research Centre/Transregio researches into symplectic structures and techniques and wishes to strengthen its ties with primarily application-oriented disciplines.
Symplectic geometry has its origins in classical mechanics. It facilitates the formulation of fundamental mechanical motion equations without coordinates. This, in turn, paves the way for a deeper understanding of the underlying dynamics. The Collaborative Research Centre/Transregio 191 researches into symplectic structures and technologies in the fields of geometry, algebra, dynamical systems, and topology.
In addition, the team focuses on tying in application-oriented disciplines where the potential of the symplectic approach has so far been barely or only rudimentarily realised, such as combinatorics or optimisation. Moreover, the researchers wish to establish collaborations with departments such as computer engineering, which can then contribute methods for studying symplectic questions in turn.
Co-ordinating university is the University of Cologne. Professor Kai Zehmisch from the Faculty of Mathematics at Ruhr-Universität Bochum is co-speaker of this Collaborative Research Centre (SFB). The network has been funded since 2017.