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
Local Flexibility for Open Partial Differential Relations
Christian Bär, Bernhard Hanke
We show that local deformations of solutions to open partial differential relations near suitable subsets can be extended to global solutions,...
The Baum--Connes conjecture localised at the unit element of a discrete group
Paolo Antonini, Sara Azzali, Georges Skandalis
We construct a Baum--Connes assembly map localised at the unit element of a discrete group $\Gamma$.
This morphism, called $\mu_\tau$, is defined in...
Conic manifolds under the Yamabe flow
Nikolaos Roidos
We consider the unnormalized Yamabe flow on manifolds with conical singularities. Under certain geometric assumption on the initial cross-section we...
S-arithmetic spinor groups with the same finite quotients and distinct ℓ²-cohomology
Holger Kammeyer, Roman Sauer
In this note we refine examples by Aka from arithmetic to S-arithmetic groups to show that the vanishing of the i-th ℓ²-Betti number is not a...