# 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

#### Perelman's Entropies for Manifolds with conical SingularitiesKlaus Kröncke, Boris Vertman

In this paper we discuss Perelman's Lambda-functional, Perelman's Ricci shrinker entropy as well as the Ricci expander entropy on a class of manifolds...

#### A categorified excision principle for elliptic symbol familiesMarkus Upmeier

We develop a categorical index calculus for elliptic symbol families. The categorified index problems we consider are a secondary version of the...

#### The fundamental solution of a class of ultra-hyperbolic operators on Pseudo H-type groupsW. Bauer, A. Froehly, I. Markina

Pseudo H-type Lie groups $$G_{r,s}$$ of signature (r,s) are defined via a module action of the Clifford algebra $$C\ell_{r,s}$$ on a vector space V≅\(...

#### Profinite invariants of arithmetic groupsHolger Kammeyer, Steffen Kionke, Jean Raimbault, Roman Sauer

We prove that the sign of the Euler characteristic of arithmetic groups with CSP is determined by the profinite completion.  In contrast, we construct...

#### Symmetries of exotic negatively curved manifoldsMauricio Bustamante, Bena Tshishiku

Let N be a smooth manifold that is homeomorphic but not diffeomorphic to a closed hyperbolic manifold M. In this paper, we study the extent to which N...