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.
Next Activities
Latest publications
Rotation sets and actions on curves
Jonathan Bowden, Sebastian Hensel, Kathryn Mann, Emmanuel Militon and Richard Webb
Building on work of Bowden-Hensel-Webb, we study the action of the homeomorphism group of a surface $S$ on the fine curve…
Quasi-morphisms on surface diffeomorphism groups
Jonathan Bowden, Sebastian Hensel and Richard Webb
We show that the identity component of the group of diffeomorphisms of a closed oriented surface of positive genus admits many unbounded…
Manifolds with many Rarita-Schwinger fields
Christian Baer, Rafe Mazzeo
The Rarita-Schwinger operator is the twisted Dirac operator restricted to 3/2-spinors. Rarita-Schwinger fields are solutions of this operator which…
Realisations of elliptic operators on compact manifolds with boundary
Lashi Bandara, Magnus Goffeng, Hemanth Saratchandran
This paper investigates realisations of elliptic differential operators of general order on manifolds with boundary following the approach of…