# 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 moduli space of parabolic $SL(2,\mathbb{C})$-Higgs bundlesLaura Fredrickson, Rafe Mazzeo, Jan Swoboda, Hartmut Weiß

Given a generic stable strongly parabolic $SL(2,\mathbb{C})$-Higgs bundle
$(\mathcal{E}, \varphi)$, we describe the family of harmonic metrics $h_t$...

#### Orientation data for moduli spaces of coherent sheaves over Calabi-Yau 3-foldsDominic Joyce, Markus Upmeier

Let X be a compact Calabi-Yau 3-fold, and write $$\mathcal{M}, \overline{\mathcal{M}}$$ for the moduli stacks of objects in coh(X) and the derived...

#### On the equivariant cohomology of cohomogeneity one Alexandrov spacesManuel Amann, Masoumeh Zarei

We give a characterization of those Alexandrov spaces admitting a cohomogeneity one action of a compact connected Lie group G for which the action is...

#### Area Estimates for High genus Lawson surfaces via DPWLynn Heller, Sebastian Heller, Martin Traizet

Starting at a saddle tower surface, we give a new existence proof of the Lawson surfaces ξm,k of high genus by deforming the corresponding DPW...

#### Isothermic constrained Willmore tori in 3-spaceLynn Heller, Sebastian Heller, Cheikh Birahim Ndiaye

We show that the homogeneous and the 2-lobe Delaunay tori in the 3-sphere provide the only isothermic constrained Willmore tori in 3-space with...