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
Hitchin components for orbifolds
Daniele Alessandrini, Gye-Seon Lee, Florent Schaffhauser
We extend the notion of Hitchin component from surface groups to orbifold groups and prove that this gives new examples of Higher Teichmüller...
Higgs bundles and geometric structures on manifolds
Daniele Alessandrini
Geometric structures on manifolds became popular when Thurston used them in his work on the Geometrization Conjecture. They were studied by many...
On orientations for gauge-theoretic moduli spaces
Dominic Joyce, Yuuji Tanaka and Markus Upmeier
Let X be a compact manifold, D a real elliptic operator on X, G a Lie group, P a principal G-bundle on X, and B_P the infinite-dimensional moduli...
Canonical orientations for moduli spaces of G_2-instantons with gauge group SU(m) or U(m)
Dominic Joyce and Markus Upmeier
Suppose (X, g) is a compact, spin Riemannian 7-manifold, with Dirac operator D. Let G be SU(m) or U(m), and E be a rank m complex bundle with...