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
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...
A categorified excision principle for elliptic symbol families
Markus Upmeier
We develop a categorical index calculus for elliptic symbol families. The categorified index problems we consider are a secondary version of the...
The fundamental solution of a class of ultra-hyperbolic operators on Pseudo H-type groups
W. Bauer, A. Froehly, I. Markina
Pseudo H-type Lie groups \(G_{r,s}\) of signature (r,s) are defined via a module action of the Clifford algebra \(C\ell_{r,s}\) on a vector space V≅\(...
Profinite invariants of arithmetic groups
Holger Kammeyer, Steffen Kionke, Jean Raimbault, Roman Sauer
We prove that the sign of the Euler characteristic of arithmetic groups with CSP is determined by the profinite completion. In contrast, we construct...