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
Scalar curvature rigidity of warped product metrics
Christian Bär, Simon Brendle, Bernhard Hanke, Yipeng Wang
We show scalar-mean curvature rigidity of warped products of round spheres of dimension at least 2 over compact intervals equipped with strictly…
Positive sectional curvature is not preserved under the Ricci flow in dimensions seven and thirteen
David González-Álvaro, Masoumeh Zarei
We prove that there exist ????????(3)-invariant metrics on Aloff-Wallach spaces W^7_{k1,k2}, as well as ????????(5)-invariant metrics on the Berger…
Locally homogeneous Axiom A flows I: projective Anosov subgroups and exponential mixing
Benjamin Delarue, Daniel Monclair, Andrew Sanders
By constructing a non-empty domain of discontinuity in a suitable homogeneous space, we prove that every torsion-free projective Anosov subgroup is…
Quantum resonances and scattering poles of classical rank one locally symmetric spaces
Benjamin Delarue, Joachim Hilgert
For negatively curved symmetric spaces it is known that the poles of the scattering matrices defined via the standard intertwining operators for the…