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.
Next Activities
Latest publications
Asymptotic geometry of the moduli space of parabolic $SL(2,\mathbb{C})$-Higgs bundles
Laura 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-folds
Dominic 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 spaces
Manuel 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 DPW
Lynn 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...