Welcome to SPP 2026
This is the platform of a coordinated research programme in mathematics, funded by the German Research Foundation (DFG). It comprises 79 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
Space of minimal discs and its compactification
Paul Creutz
We investigate the class of geodesic metric discs satisfying a uniform quadratic isoperimetric inequality and uniform bounds on the length of the…
Secondary cup and cap products in coarse geometry
Christopher Wulff
We construct secondary cup and cap products on coarse (co-)homology theories from given cross and slant products. They are defined for coarse spaces…
On a functional of Kobayashi for Higgs bundles
Sergio A. H. Cardona, Claudio Meneses
We define a functional \({\cal J}(h)\) for the space of Hermitian metrics on an arbitrary Higgs bundle over a compact Kähler manifold, as a natural…
Geometric models and variation of weights on moduli of parabolic Higgs bundles over the Riemann sphere: a case study
Claudio Meneses
We construct explicit geometric models for moduli spaces of stable parabolic Higgs bundles on the Riemann sphere, in the case of rank two, four marked…