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
Smoothness and long time existence for solutions of the Cahn-Hilliard equation on manifolds with conical singularities
P. T. P. Lopes, N. Roidos
We consider the Cahn-Hilliard equation on manifolds with conical singularities. For appropriate initial data we show that the solution exists in the...
Hilbert schemes, commuting matrices, and hyperkaehler geometry
Roger Bielawski, Carolin Peternell
We represent algebraic curves via commuting matrix polynomials. This allows us to show that the canonical Obata connection on the Hilbert scheme of...
Geometry of folded hypercomplex structures
Roger Bielawski, Carolin Peternell
We investigate the geometry of the Kodaira moduli space M of sections of a twistor projection, the normal bundle of which is allowed to jump. In...
Differential geometry of Hilbert schemes of curves in a projective space
Roger Bielawski, Carolin Peternell
We describe the natural geometry of Hilbert schemes of curves in projective spaces.