# 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

#### A flow approach to Bartnik's static metric extension conjecture in axisymmetryCarla Cederbaum, Oliver Rinne, Markus Strehlau

We investigate Bartnik's static metric extension conjecture under the additional assumption of axisymmetry of both the given Bartnik data and the...

#### Anti-de Sitter strictly GHC-regular groups which are not latticesGye-Seon Lee, Ludovic Marquis

For d = 4, 5, 6, 7, 8, we exhibit examples of $$\mathrm{AdS}^{d,1}$$ strictly GHC-regular groups which are not quasi-isometric to the hyperbolic space...

#### Boundary value problems for general first-order elliptic differential operatorsChristian Bär, Lashi Bandara

We study boundary value problems for first-order elliptic differential operators on manifolds with compact boundary. The adapted boundary operator...

#### Geometry and topology of the Kerr photon region in the phase spaceCarla Cederbaum, Sophia Jahns

We study the set of trapped photons of a subcritical (a<M) Kerr spacetime as a subset of the phase space. First, we present an explicit proof that the...

#### Between buildings and free factor complexes: A Cohen-Macaulay complex for Out(RAAGs)Benjamin Brück

For every finite graph Γ, we define a simplicial complex associated to the outer automorphism group of the RAAG A_Γ. These complexes are defined as...