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 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

Asymptotic geometry of the Hitchin metricRafe Mazzeo, Jan Swoboda, Hartmut Weiß, Frederik Witt

We study the asymptotics of the natural $$L^2$$ metric on the Hitchin moduli space with group $$G=SU(2)$$. Our main result, which addresses a detailed...

First explicit constrained Willmore minimizers of non-rectangular conformal classLynn Heller, Cheikh Birahim Ndiaye

We study immersed tori in 3-space minimizing the Willmore energy in their respective conformal class. Within the rectangular conformal...

Boundary value problems for the Lorentzian Dirac operatorChristian Bär, Sebastian Hannes

On a compact globally hyperbolic Lorentzian spin manifold with smooth spacelike Cauchy boundary the (hyperbolic) Dirac operator is known to be...

Heat kernels and regularity for rough metrics on smooth manifoldsLashi Bandara, Paul Bryan

We consider rough metrics on smooth manifolds and corresponding Laplacians induced by such metrics. We demonstrate that globally continuous heat...