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
Convex projective surfaces with compatible Weyl connection are hyperbolic
Thomas Mettler, Gabriel P. Paternain
We show that a properly convex projective structure p on a closed oriented surface of negative Euler characteristic arises from a Weyl connection if...
The Bieri-Neumann-Strebel invariants via Newton polytopes
Dawid Kielak
We study the Newton polytopes of determinants of square matrices defined over rings of twisted Laurent polynomials. We prove that such Newton...
Stability of Ricci de Turck flow on Singular Spaces
Klaus Kröncke, Boris Vertman
In this paper we establish stability of the Ricci de Turck flow near Ricci-flat metrics with isolated conical singularities. More precisely, we...
Nonconnected moduli spaces of nonnegative sectional curvature metrics on simply connected manifolds
Anand DESSAI, Stephan KLAUS, Wilderich TUSCHMANN
We show that in each dimension 4n+3, n>1, there exist infinite sequences of closed smooth simply connected manifolds M of pairwise distinct homotopy...