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.
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Latest publications
Singular Riemannian Foliations, variational problems and Principles of Symmetric Criticalities
Marcos M. Alexandrino, Leonardo F. Cavenaghi, Diego Corro, and Marcelo K. Inagaki
A singular foliation \(\mathcal{F}\) on a complete Riemannian manifold \(M\) is called Singular Riemannian foliation (SRF for short) if its leaves are…
Torsion obstructions to positive scalar curvature
Misha Gromov and Bernhard Hanke
We study obstructions to the existence of Riemannian metrics of positive scalar curvature on closed smooth manifolds arising from torsion classes in…
Resonances and weighted zeta functions for obstacle scattering via smooth models
Benjamin Delarue, Philipp Schütte, Tobias Weich
We consider a geodesic billiard system consisting of a complete Riemannian manifold and an obstacle submanifold with boundary at which the…
Characterising trees and hyperbolic spaces by their boundaries
Isobel Davies
We use the language of proper CAT(-1) spaces to study thick, locally compact trees, the real, complex and quaternionic hyperbolic spaces and the…