# 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 79 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 a functional of Kobayashi for Higgs bundlesSergio A. H. Cardona, Claudio Meneses

We define a functional $${\cal J}(h)$$ for the space of Hermitian metrics on an arbitrary Higgs bundle over a compact Kähler manifold, as a natural…

#### Geometric models and variation of weights on moduli of parabolic Higgs bundles over the Riemann sphere: a case studyClaudio Meneses

We construct explicit geometric models for moduli spaces of stable parabolic Higgs bundles on the Riemann sphere, in the case of rank two, four marked…

#### Local Index Theory for Lorentzian ManifoldsChristian Bär and Alexander Strohmaier

We prove a local version of the index theorem for Lorentzian Dirac-type operators on globally hyperbolic Lorentzian manifolds with Cauchy boundary. In…