Welcome to SPP 2026
This is the platform of a coordinated research programme in mathematics, funded by the German Research Foundation (DFG). It comprises 79 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
A counterexample to the unit conjecture for group rings
Giles Gardam
The unit conjecture, commonly attributed to Kaplansky, predicts that if \(K\) is a field and \(G\) is a torsion-free group then the only units of the…
A stable ∞-category for equivariant KK-theory
U. Bunke, A. Engel, M. Land
For a countable group G we construct a small, idempotent complete, symmetric monoidal, stable ∞-category KK^G_sep whose homotopy category recovers the…
Triangulating metric surfaces
Paul Creutz and Matthew Romney
We prove that any length metric space homeomorphic to a surface may be decomposed into non-overlapping convex triangles of arbitrarily small diameter.…
Bott-Thom isomorphism, Hopf bundles and Morse theory
Jost-Hinrich Eschenburg and Bernhard Hanke
Based on Morse theory for the energy functional on path spaces we develop a deformation theory for mapping spaces of spheres into orthogonal groups.…