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
On property (T) for $\mathrm{Aut}(F_n)$ and $\mathrm{SL}_n(\mathbb Z)$
Marek Kaluba, Dawid Kielak, Piotr Nowak
We prove that $\mathrm{Aut}(F_n)$ has Kazhdan's property (T) for every $n \geqslant 6$. Together with a previous result of Kaluba, Nowak, and Ozawa,...
Heinz-Kato inequality in Banach spaces
Nikolaos Roidos
We show a Heinz-Kato inequality in Banach spaces for sectorial operators having bounded imaginary powers.
Torus orbifolds, slice-maximal torus actions and rational ellipticity
Fernando Galaz-García, Martin Kerin, Marco Radeschi, Michael Wiemeler
In this work, it is shown that a simply-connected, rationally-elliptic torus orbifold is equivariantly rationally homotopy equivalent to the quotient...
Semi-free actions with manifold orbit spaces
John Harvey, Martin Kerin, Krishnan Shankar
In this paper, we study smooth, semi-free actions on closed, smooth, simply connected manifolds, such that the orbit space is a smoothable manifold....