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
Symmetries of exotic negatively curved manifolds
Mauricio Bustamante, Bena Tshishiku
Let N be a smooth manifold that is homeomorphic but not diffeomorphic to a closed hyperbolic manifold M. In this paper, we study the extent to which N...
Functional calculus and harmonic analysis in geometry
Lashi Bandara
In this short survey article, we showcase a number of non-trivial geometric problems that have recently been resolved by marrying methods from...
On p-adic limits of topological invariants
Steffen Kionke
The purpose of this article is to define and study new invariants of topological spaces: the p-adic Betti numbers and the p-adic torsion. These...
Boundary maps and maximal representations on infinite dimensional Hermitian symmetric spaces
Bruno Duchesne, Jean Lécureux, Maria Beatrice Pozzetti
We define a Toledo number for actions of surface groups and complex hyperbolic lattices on infinite dimensional Hermitian symmetric spaces, which...