Symplectic Structures in Geometry, Algebra and Dynamics
Collaborative Research Centre TRR 191
A1, A2, A3, A5, A6, A7
B1, B2, B3, B4, B5, B6, B7
C1, C2, C3, C4, C5
Project Areas

The programme divides into three areas, which are briefly presented here.

A: Topology and equivariant theories

Research Area A comprises those projects where topological aspects are in the foreground. A central role is played by symmetries, that is, group actions of various kinds.

B: Dynamics and variational methods

In Research Area B we assemble those projects where dynamical questions are in the focus, and where variational methods feature prominently.

C: Algebra, combinatorics and optimization

The link between the projects in Research Area C is provided by their reliance on algebraic and combinatorial methods, or by the relevance of the symplectic approach to addressing questions in these areas. Various aspects of polytopes come into play, including optimization-theoretic ones. Several of the projects have a strong algorithmic component.

Impressum Institution of DFG, MI University of Cologne and FM Ruhr-University Bochum