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
Yamabe problem in the presence of singular Riemannian Foliations
Diego Corro, Juan Carlos Fernández and Raquel Perales
Using variational methods together with symmetries given by singular Riemannian foliations with positive dimensional leaves, we prove the existence of…
Core Reduction for Singular Riemannian Foliations and Applications to Positive Curvature
Diego Corro, Adam Moreno
We expand upon the notion of a pre-section for a singular Riemannian foliation \((M,\mathcal{F})\), i.e. a proper submanifold \(N\subset M\) retaining…
On Liouville Theorems for Dirichlet Forms
B Hua, M Keller, D Lenz, M Schmidt
Beschreibung
We study harmonic functions for general Dirichlet forms. First we review consequences of Fukushima’s ergodic theorem for the harmonic…
Bounded subgroups of relatively finitely presented groups
Eduard Schesler
Given a finitely generated group $G$ that is relatively finitely presented with respect to a collection of peripheral subgroups, we prove that every…