Welcome to SPP 2026
This is the platform of a coordinated research programme in mathematics, funded by the German Research Foundation (DFG). It comprises 33 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.
Next Activities
Latest publications
Manifolds with many Rarita-Schwinger fields
Christian Baer, Rafe Mazzeo
The Rarita-Schwinger operator is the twisted Dirac operator restricted to 3/2-spinors. Rarita-Schwinger fields are solutions of this operator which...
Kac–Moody symmetric spaces
Walter Freyn, Tobias Hartnick, Max Horn, Ralf Köhl
In the present article we introduce and study a class of topological reflection spaces that we call Kac-Moody symmetric spaces. These generalize...
On Rigidity of S-Arithmetic Kac-Moody Groups
Amir Farahmand Parsa, Ralf Köhl
We investigate rigidity properties of S-arithmetic Kac-Moody groups in characteristic 0.
The Chiral Anomaly of the Free Fermion in Functorial Field Theory
Matthias Ludewig, Saskia Roos
When trying to cast the free fermion in the framework of functorial field theory, its chiral anomaly manifests in the fact that it assigns the...