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
Ricci flow from singular spaces with bounded curvature
Diego Corro, Adam Moreno and Masoumeh Zarei
We show the existence of a solution to the Ricci flow with a compact length space of bounded curvature, i.e., a space that has curvature bounded above…
Cheeger deformations for Lie groupoid actions
Diego Corro
We give an extension of Cheeger's deformation techniques for smooth Lie group actions on manifolds to the setting of singular Riemannian foliations…
Locally homogeneous RCD spaces
Shouhei Honda, Artem Nepechiy
The goal of this note is to demonstrate how existing results can be adapted
to establish the following result: A locally metric measure homogeneous…
Local Index Theory for Lorentzian Manifolds
Christian Bär and Alexander Strohmaier
We prove a local version of the index theorem for Lorentzian Dirac-type operators on globally hyperbolic Lorentzian manifolds with Cauchy boundary. In…