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.
Latest publications
On spin structures and orientations for gauge-theoretic moduli spaces
Dominic Joyce, Markus Upmeier
Let X be a compact manifold, G a Lie group, P→X a principal G-bundle, and B_P the infinite-dimensional moduli space of connections on P modulo gauge....
The fractional porous medium equation on manifolds with conical singularities
N. Roidos, Y. Shao
We show \(R\)-sectoriality for the fractional powers of possibly non-invertible \(R\)-sectorial operators. Applications concern existence, uniqueness...
A flow approach to Bartnik's static metric extension conjecture in axisymmetry
Carla Cederbaum, Oliver Rinne, Markus Strehlau
We investigate Bartnik's static metric extension conjecture under the additional assumption of axisymmetry of both the given Bartnik data and the...
Anti-de Sitter strictly GHC-regular groups which are not lattices
Gye-Seon Lee, Ludovic Marquis
For d = 4, 5, 6, 7, 8, we exhibit examples of \(\mathrm{AdS}^{d,1}\) strictly GHC-regular groups which are not quasi-isometric to the hyperbolic space...