## 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.

### SPP 2026 kick-off meeting in Potsdam

The kick-off meeting took place in the Audimax of the University of Potsdam, Campus am Neuen Palais, November 9-10, 2017.

## Next Activities

## Latest publications

#### Convex projective surfaces with compatible Weyl connection are hyperbolic

Thomas Mettler, Gabriel P. Paternain

We show that a properly convex projective structure p on a closed oriented surface of negative Euler characteristic arises from a Weyl connection if...

#### The Bieri-Neumann-Strebel invariants via Newton polytopes

Dawid Kielak

We study the Newton polytopes of determinants of square matrices defined over rings of twisted Laurent polynomials. We prove that such Newton...

#### Stability of Ricci de Turck flow on Singular Spaces

Klaus Kröncke, Boris Vertman

In this paper we establish stability of the Ricci de Turck flow near Ricci-flat metrics with isolated conical singularities. More precisely, we...

#### Nonconnected moduli spaces of nonnegative sectional curvature metrics on simply connected manifolds

Anand DESSAI, Stephan KLAUS, Wilderich TUSCHMANN

We show that in each dimension 4n+3, n>1, there exist infinite sequences of closed smooth simply connected manifolds M of pairwise distinct homotopy...

## Latest Blog posts

**John Roe 1959-2018**John Roe, the founder of coarse index theory, passed away last month after a long fight against cancer. His web page is still online ( http://sites.psu.edu/johnroe/ ) and can be visited to get a glimpse not only of his mathematical work, but also of his personal life and all the things in the world that … Continue reading "John Roe 1959-2018"

**Snowflakes at infinity**The countless shapes of snowflakes have long raised the curiosity of many scientists, among others the famous Kepler. They have by now been classified by empirical observation into 80 different shapes, but a mathematical explanation for this classification seems to be missing. A striking point about them is that, even though two snowflakes are almost … Continue reading "Snowflakes at infinity"