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.
Latest publications
Plateau's problem for singular curves
Paul Creutz
We give a solution of Plateau's problem for singular curves possibly having self-intersections. The proof is based on the solution of Plateau's…
Resolvent at low energy]{Spectral geometry on manifolds with fibred boundary metrics I: Low energy resolvent
D. Grieser, M. Talebi, B. Vertman
We study the low energy resolvent of the Hodge Laplacian on a manifold equipped with a fibred boundary metric. We determine the precise asymptotic…
The Calderón Projector for fibred cusp operators
K. Fritzsch, D. Grieser, E. Schrohe
A Calder\'on projector for an elliptic operator $P$ on a manifold with boundary $X$ is a projection from general boundary data to the set of boundary…
An extension theorem for non-compact split embedded Riemannian symmetric spaces and an application to their universal property
Julius Grüning, Ralf Köhl
A geodesic γ in an abstract reflection space X (in the sense of Loos, without any assumption of differential structure) is known to canonically admits…