Welcome to SPP 2026
This is the platform of a coordinated research programme in mathematics, funded by the German Research Foundation (DFG). It comprises 80 research projects in the fields of differential geometry, geometric topology, and global analysis. More than 80 researchers from doctoral to professorial level and based at more than 20 German and Swiss universities are represented in this programme.
Latest publications
Vortices over Riemann surfaces and dominated splittings
Thomas Mettler, Gabriel P. Paternain
We associate a flow $\phi$ to a solution of the vortex equations on a closed oriented Riemannian 2-manifold $(M,g)$ of negative Euler characteristic…
Metrisability of projective surfaces and pseudo-holomorphic curves
Thomas Mettler
We show that the metrisability of an oriented projective surface is equivalent to the existence of pseudo-holomorphic curves. A projective structure…
Constructing electrically charged Riemannian manifolds with minimal boundary, prescribed asymptotics, and controlled mass
Armando J. Cabrera Pacheco, Carla Cederbaum, Penelope Gehring, Alejandro Penuela Diaz
In 2015, Mantoulidis and Schoen constructed 3-dimensional asymptotically Euclidean manifolds with non-negative scalar curvature whose ADM mass can be…
Paschke duality and assembly maps
U. Bunke, A. Engel, M. Land
We construct a natural transformation between two versions of G-equivariant K-homology with coefficients in a G-C*-category for a countable discrete…