# 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

#### Sphericity of kappa-classes and positive curvature via block bundlesGeorg Frenck, Jens Reinhold

Given a manifold $M$, we completely determine which rational $\kappa$-classes are non-trivial for (fiber homotopy trivial) $M$-bundles over the…

#### Spaces of positive intermediate curvature metricsGeorg Frenck, Jan-Bernhard Kordaß

In this paper we study spaces of Riemannian metrics with lower bounds on intermedi- ate curvatures. We show that the spaces of metrics of…

#### The action of the mapping class group on metrics of positive scalar curvatureGeorg Frenck

We present a rigidity theorem for the action of the mapping class group $$\pi_0(\mathrm{Diff}(M))$$on the space $$\mathcal{R}^+(M)$$ of metrics of…

#### The symmetric Kazdan-Warner problem and applicationsLeonardo F. Cavenaghi, João Marcos do Ó, Llohann D. Sperança

After R. Schoen completed the solution of the Yamabe problem, compact manifolds could be allocated in three classes depending on whether they admit a…