## 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.

## Next Activities

## Latest publications

#### Injectivity results for coarse homology theories

Ulrich Bunke, Alexander Engel, Daniel Kasprowski, Christoph Winges

We show injectivity results for assembly maps using equivariant coarse homology theories with transfers. Our method is based on the descent principle...

#### Transfers in coarse homology

Ulrich Bunke, Alexander Engel, Daniel Kasprowski, Christoph Winges

We enlarge the category of bornological coarse spaces by adding transfer morphisms and introduce the notion of an equivariant coarse homology theory...

#### Residually finite rationally-solvable groups and virtual fibring

Dawid Kielak

We show that a finitely generated residually finite rationally solvable (or RFRS) group *G* is virtually fibred, in the sense that it admits a virtual...

#### Agrarian and $L^2$-invariants

Fabian Henneke and Dawid Kielak

We develop the theory of agrarian invariants, which are algebraic counterparts to $L^2$-invariants. Specifically, we introduce the notions of agrarian...

## Latest Blog posts

**Classification of static vacuum black holes**In a series of two papers ( arXiv:1806.00818 and arXiv:1806.00819 ) Martin Reiris Ithurralde classifies all metrically complete solutions of the static vacuum Einstein equations with compact (but not necessarily connected) horizon. Main Theorem Any static vacuum black hole is either a Schwarzschild black hole, a Boost, or of Myers/Korotkin-Nicolai type. Basic definition A static vacuum … Continue reading "Classification of static vacuum black holes"

**Vier Exzellenzcluster in der Mathematik**Vor drei Tagen ( Pressemitteilung der DFG ) wurde die Entscheidung über die zukünftigen Exzellenzcluster veröffentlicht. Vier davon wird es in der Mathematik geben: in Bonn, in Münster, in Berlin sowie in Heidelberg. Die Förderung in den neuen Exzellenzclustern beginnt am 1. Januar 2019 und läuft sieben Jahre. Nach erfolgreicher Wiederbewerbung kann dies um weitere … Continue reading "Vier Exzellenzcluster in der Mathematik"