## 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.

## Next Activities

## Latest publications

#### Rectangular constrained Willmore minimizers and the Willmore conjecture

Lynn Heller, Sebastian Heller, Cheikh Birahim Ndiaye

We show that the well-known family of $2$-lobed Delaunay tori $\;f^b\;$ in $\;S^3,\;$ parametrized by $\;b \in \mathbb R_{\geq1},\;$ uniquely...

#### Symmetries of exotic negatively curved manifolds

Mauricio 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*...

#### Functional calculus and harmonic analysis in geometry

Lashi Bandara

In this short survey article, we showcase a number of non-trivial geometric problems that have recently been resolved by marrying methods from...

#### On p-adic limits of topological invariants

Steffen Kionke

The purpose of this article is to define and study new invariants of topological spaces: the *p*-adic Betti numbers and the *p*-adic torsion. These...

## Latest Blog posts

**The Whitehead manifold and positive scalar curvature**Recall that the Whitehead manifold is a contractible 3-manifold which is not homeomorphic to Euclidean 3-space (Wikipedia entry). It was proven by Chang-Weinberger-Yu (link) that the Whitehead manifold can not admit a complete metric of uniformly positive scalar curvature. Last year their result was strengthened by Jian Wang in arXiv:1805.03544 to the statement that the Whitehead manifold can … Continue reading "The Whitehead manifold and positive scalar curvature"