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 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

Fundamental groups of split real Kac-Moody groups and generalized real flag manifolds. With appendices by Tobias Hartnick and Ralf Köhl and by Julius Grüning and Ralf KöhlPaula Harring, Ralf Köhl

We determine the fundamental groups of symmetrizable algebraically simply connected split real Kac-Moody groups endowed with the Kac-Peterson…

Representations of Involutory Subalgebras of Affine Kac–Moody AlgebrasAxel Kleinschmidt, Ralf Köhl, Robin Lautenbacher, Hermann Nicolai

We consider the subalgebras of split real, non-twisted affine Kac-Moody Lie algebras that are fixed by the Chevalley involution. These…

Nonnegative scalar curvature on manifolds with at least two endsSimone Cecchini, Daniel Räde, Rudolf Zeidler

Let $$M$$ be an orientable connected $$n$$-dimensional manifold with $$n\in\{6,7\}$$ and let $$Y\subset M$$ be a two-sided closed connected…