# 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

#### Rotation sets and actions on curvesJonathan 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 groupsJonathan 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…

#### Realisations of elliptic operators on compact manifolds with boundaryLashi Bandara, Magnus Goffeng, Hemanth Saratchandran

This paper investigates realisations of elliptic differential operators of general order on manifolds with boundary following the approach of…

#### Scalar and mean curvature comparison via the Dirac operatorSimone Cecchini, Rudolf Zeidler

We use the Dirac operator technique to establish sharp distance estimates for compact spin manifolds under lower bounds on the scalar curvature in the…