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
Between buildings and free factor complexes: A Cohen-Macaulay complex for Out(RAAGs)
Benjamin Brück
For every finite graph Γ, we define a simplicial complex associated to the outer automorphism group of the RAAG A_Γ. These complexes are defined as...
The Farrell–Jones Conjecture for normally poly-free groups
Benjamin Brück, Dawid Kielak, Xiaolei Wu
We prove the K- and L-theoretic Farrell-Jones Conjecture with coefficients in an additive category for every normally poly-free group, in particular...
Bounded H∞-calculus for boundary value problems on manifolds with conical singularities
N. Roidos, E. Schrohe, J. Seiler
Realizations of differential operators subject to differential boundary conditions on manifolds with conical singularities are shown to have a bounded...
A structure theorem for euclidean buildings
Petra Schwer and David Weniger
We prove an affine analog of Scharlau's reduction theorem for spherical buildings. To be a bit more precise let X be a euclidean building with...