# Geometry at Infinity

Priority programme of the DFG

## 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 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 spacesNikolaos 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 ellipticityFernando 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 spacesJohn 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....

#### Intrinsic structure of minimal discs in metric spacesAlexander Lytchak and Stefan Wenger

We study the intrinsic structure of parametric minimal discs in metric spaces admitting a quadratic isoperimetric inequality. We associate to each...