# 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

#### Resolvent at low energy]{Spectral geometry on manifolds with fibred boundary metrics I: Low energy resolventD. Grieser, M. Talebi, B. Vertman

We study the low energy resolvent of the Hodge Laplacian on a manifold  equipped with a fibred boundary metric. We determine the precise asymptotic…

#### The Calderón Projector for fibred cusp operatorsK. Fritzsch, D. Grieser, E. Schrohe

A Calder\'on projector for an elliptic operator $P$ on a manifold with boundary $X$ is a projection from general boundary data to the set of boundary…

#### An extension theorem for non-compact split embedded Riemannian symmetric spaces and an application to their universal propertyJulius Grüning, Ralf Köhl

A geodesic γ in an abstract reflection space X (in the sense of Loos, without any assumption of differential structure) is known to canonically admits…

#### Maximal metric surfaces and the Sobolev-to-Lipschitz propertyPaul Creutz and Elefterios Soultanis

We find maximal representatives within equivalence classes of metric spheres. For Ahlfors regular spheres these are uniquely characterized by…