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.
Latest publications
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…
Galois cohomology and profinitely solitary Chevalley groups
Holger Kammeyer, Ryan Spitler
For every number field and every Cartan Killing type, there is an associated split simple algebraic group. We examine whether the corresponding…
Yamabe problem in the presence of singular Riemannian Foliations
Diego Corro, Juan Carlos Fernández and Raquel Perales
Using variational methods together with symmetries given by singular Riemannian foliations with positive dimensional leaves, we prove the existence of…