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.
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Latest publications
Contractible 3-manifold and Positive scalar curvature (II)
Jian Wang
In this article, we are interested in the question whether any complete contractible 3-manifold of positive scalar curvature is homeomorphic to \(\mat...
Contractible 3-manifold and Positive scalar Curvature (I)
Jian Wang
In this work we prove that the Whitehead manifold has no complete metric of positive scalar curvature. This result can be generalized to the genus one...
Boundary representation of Dirichlet forms on discrete spaces
Matthias Keller, Daniel Lenz, Marcel Schmidt and Michael Schwarz
We describe the set of all Dirichlet forms associated to a given infinite graph in terms of Dirichlet forms on its Royden boundary. Our approach is...
Scalar positive immersions
Luis A. Florit, Bernhard Hanke
As shown by Gromov-Lawson and Stolz the only obstruction to the existence of positive scalar curvature metrics on closed simply connected manifolds...