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
Metrisability of projective surfaces and pseudo-holomorphic curves
Thomas Mettler
We show that the metrisability of an oriented projective surface is equivalent to the existence of pseudo-holomorphic curves. A projective structure...
Vortices over Riemann surfaces and dominated splittings
Thomas Mettler, Gabriel P. Paternain
We associate a flow $\phi$ to a solution of the vortex equations on a closed oriented Riemannian 2-manifold $(M,g)$ of negative Euler characteristic...
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...