# Geometry at Infinity

Priority programme of the DFG

## 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

#### Quasi-morphisms on surface diffeomorphism groupsJonathan Bowden, Sebastian Hensel and Richard Webb

We show that the identity component of the group of diffeomorphisms of a closed oriented surface of positive genus admits many unbounded…

#### Local Flexibility for Open Partial Differential RelationsChristian Bär, Bernhard Hanke

We show that local deformations, near closed subsets, of solutions to open partial differential relations can be extended to global deformations,…

#### Stability of the Non-Symmetric Space E7/PSO(8) Paul Schwahn, Uwe Semmelmann, Gregor Weingart

We prove that the normal metric on the homogeneous space E7/PSO(8) is stable
with respect to the Einstein-Hilbert action, thereby exhibiting the…

#### Instability of Sasaki Einstein and nearly parallel ${\rm G}_2$ manifolds Uwe Semmelmann, Changliang Wang, McKenzie Wang

In this article we study the stability problem for the Einstein metrics on
Sasaki Einstein and on complete nearly parallel G2 manifolds. In the…