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
Geometric invariants of locally compact groups: the homotopical perspective
Kai-Uwe Bux, Elisa Hartmann, José Pedro Quintanilha
We extend the classical theory of homotopical Σ-sets, defined by Bieri, Neumann, Renz and Strebel for abstract groups, to locally compact Hausdorff…
Myers-Steenrod theorems for metric and singular Riemannian foliations
Diego Corro and Fernando Galaz-García
We prove that the group of isometries preserving a metric foliation on a closed Alexandrov space \(X\), or a singular Riemannian foliation on a…
Stability of the generalized Lagrangian mean curvature flow in cotangent bundle
Xishen Jin, Jiawei Liu
In this paper, we consider the stability of the generalized Lagrangian mean curvature flow of graph case in the cotangent bundle, which is first…
Non-homogeneous fully nonlinear contracting flows of convex hypersurfaces
Pengfei Guan, Jiuzhou Huang, Jiawei Liu
We consider a general class of non-homogeneous contracting flows of convex hypersurfaces in \(\mathbb R^{n+1}\), and prove the existence and…