Welcome to SPP 2026
This is the platform of a coordinated research programme in mathematics, funded by the German Research Foundation (DFG). It comprises 80 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
Constructing electrically charged Riemannian manifolds with minimal boundary, prescribed asymptotics, and controlled mass
Armando J. Cabrera Pacheco, Carla Cederbaum, Penelope Gehring, Alejandro Penuela Diaz
In 2015, Mantoulidis and Schoen constructed 3-dimensional asymptotically Euclidean manifolds with non-negative scalar curvature whose ADM mass can be…
Paschke duality and assembly maps
U. Bunke, A. Engel, M. Land
We construct a natural transformation between two versions of G-equivariant K-homology with coefficients in a G-C*-category for a countable discrete…
Ricci flow starting from an embedded closed convex surface in $\mathbb{R}^3$
Jiuzhou Huang, Jiawei Liu
In this paper, we establish the existence and uniqueness of Ricci flow that admits an embedded closed convex surface in $\mathbb{R}^3$ as metric…
Amenability and profinite completions of finitely generated groups
Steffen Kionke, Eduard Schesler
This article explores the interplay between the finite quotients of finitely generated residually finite groups and the concept of amenability.
We…