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…
Induced almost para-Kähler Einstein metrics on cotangent bundles
Andreas Cap, Thomas Mettler
In earlier work we have shown that for certain geometric structures on a smooth manifold \(M\) of dimension \(n\), one obtains an almost…
Flat extensions of principal connections and the Chern-Simons 3-form
Andreas Cap, Keegan Flood, Thomas Mettler
We introduce the notion of a flat extension of a connection \(\theta\) on a principal bundle. Roughly speaking, \(\theta\) admits a flat extension if…