Welcome to SPP 2026
This is the platform of a coordinated research programme in mathematics, funded by the German Research Foundation (DFG). It comprises 80 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
Bounded cohomology is not a profinite invariant
Daniel Echtler, Holger Kammeyer
We construct pairs of residually finite groups with isomorphic profinite completions such that one has non-vanishing and the other has vanishing real…
Boundary conditions for scalar curvature
Christian Bär and Bernhard Hanke
Based on the Atiyah-Patodi-Singer index formula, we construct an obstruction to positive scalar curvature metrics with mean convex boundaries on spin…
Realisations of elliptic operators on compact manifolds with boundary
Lashi Bandara, Magnus Goffeng, Hemanth Saratchandran
This paper investigates realisations of elliptic differential operators of general order on manifolds with boundary following the approach of…
Fourier expansions of vector-valued automorphic functions with non-unitary twists
Ksenia Fedosova, Anke Pohl, Julie Rowlett
We provide Fourier expansions of vector-valued eigenfunctions of the hyperbolic Laplacian that are twist-periodic in a horocycle direction. The twist…