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
Equivariant Coarse (Co-)Homology Theories
Christopher Wulff
We present an Eilenberg--Steenrod-like axiomatic framework for equivariant coarse homology and cohomology theories. We also discuss a general…
Lipschitz rigidity for scalar curvature
Simone Cecchini, Bernhard Hanke, Thomas Schick
We prove the following Lipschitz rigidity result in scalar curvature geometry. Let $M$ be a closed smooth connected spin manifold of even dimension…
The relative index theorem for general first-order elliptic operators
Lashi Bandara
The relative index theorem is proved for general first-order elliptic operators that are complete and coercive at infinity over measured manifolds.…
Fundamental groups of split real Kac-Moody groups and generalized real flag manifolds. With appendices by Tobias Hartnick and Ralf Köhl and by Julius Grüning and Ralf Köhl
Paula Harring, Ralf Köhl
We determine the fundamental groups of symmetrizable algebraically simply connected split real Kac-Moody groups endowed with the Kac-Peterson…