# 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 small closed convex projective 4-manifold via Dehn fillingGye-Seon Lee, Ludovic Marquis, Stefano Riolo

In order to obtain a closed orientable convex projective four-manifold with small positive Euler characteristic, we build an explicit example of...

#### 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...

#### Currents, systoles, and compactifications of character varietiesMarc Burger, Alessandra Iozzi, Anne Parreau, Beatrice Pozzetti

We study the Thurston–Parreau boundary both of the Hitchinand of the maximal character varieties and determine therein an open setof discontinuity for...

#### Conformality for a robust class of non-conformal attractorsBeatrice Pozzetti, Andres Sambarino, Anna Wienhard

In this paper we investigate the Hausdorff dimension of limitsetsof Anosov representations. In this context we revisit and extend the frameworkof...