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.
Latest publications
Slant products on the Higson-Roe exact sequence
A. Engel, Ch. Wulff, R. Zeidler
We construct a slant product on the analytic structure group of Higson and Roe and the K-theory of the stable Higson corona of Emerson and Meyer,...
An index theorem for Lorentzian manifolds with compact spacelike Cauchy boundary
Christian Bär, Alexander Strohmaier
We show that the Dirac operator on a compact globally hyperbolic Lorentzian spacetime with spacelike Cauchy boundary is a Fredholm operator if...
Geometric theory of Weyl structures
Andreas Cap, Thomas Mettler
This article studies the bundle of Weyl structures associated to a parabolic
geometry. Given a parabolic geometry of any type on a smooth manifold...
Perelman's Entropies for Manifolds with conical Singularities
Klaus Kröncke, Boris Vertman
In this paper we discuss Perelman's Lambda-functional, Perelman's Ricci shrinker entropy as well as the Ricci expander entropy on a class of manifolds...