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
Boundary value problems for general first-order elliptic differential operators
Christian Bär, Lashi Bandara
We study boundary value problems for first-order elliptic differential operators on manifolds with compact boundary. The adapted boundary operator...
Geometry and topology of the Kerr photon region in the phase space
Carla Cederbaum, Sophia Jahns
We study the set of trapped photons of a subcritical (a<M) Kerr spacetime as a subset of the phase space. First, we present an explicit proof that the...
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...