# 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 spin structures and orientations for gauge-theoretic moduli spacesDominic Joyce, Markus Upmeier

Let X be a compact manifold, G a Lie group, PX a principal G-bundle, and B_P the infinite-dimensional moduli space of connections on P modulo gauge....

#### The fractional porous medium equation on manifolds with conical singularitiesN. Roidos, Y. Shao

We show $$R$$-sectoriality for the fractional powers of possibly non-invertible $$R$$-sectorial operators. Applications concern existence, uniqueness...

#### 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...