## 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.

### Evaluation colloquium

The evaluation colloquium for the second funding period 2020-2023 will take place in Bad Honnef on 5 March 2020.

## Next Activities

## Latest publications

#### Plateau's problem for singular curves

Paul Creutz

We give a solution of Plateau's problem for singular curves possibly having self-intersections. The proof is based on the solution of Plateau's...

#### Moduli space of nonnegatively curved metrics on manifolds of dimension $4k+1$

Anand Dessai

In each dimension $4k+1\geq 9$, we exhibit infinite families of closed manifolds with fundamental group $\mathbb Z_2$ for which the moduli space of...

#### Space of minimal discs and its compactification

Paul Creutz

We investigate the class of geodesic metric discs satisfying a uniform quadratic isoperimetric inequality and uniform bounds on the length of the...

#### $\ell^2$ Betti numbers and coherence of random groups

Dawid Kielak, Robert Kropholler, and Gareth Wilkes

We study $\ell^2$ Betti numbers, coherence, and virtual fibring of random groups in the few-relator model. In particular, random groups with negative...

## Latest Blog posts

**Banach conjecture**There was a paper today in the arXiv mailing list (arXiv:2006.00336) proving yet another case of the Banach conjecture. I never heard of this conjecture before, but it is easy to state and seems to me to be a foundational recognition principle for those Banach spaces that are actually Hilbert spaces. The conjecture was stated … Continue reading "Banach conjecture"

**MINTchallenge**Der Club MINT, eine Initiative des Stifterverbands, ruft regelmäßig die MINTchallenges aus in denen “schlaue Ideen zur Lösung aktueller Herausforderungen der MINT-Bildung an Hochschulen” gesucht werden. In der aktuellen MINTchallenge sucht der Stifterverband nach “kreativen, digitalen Alternativen zu Präsenzveranstaltungen an Hochschulen, die das MINT-Studium auch nach der Corona-Pandemie nachhaltig verbessern.” Bewerbungsschluss ist der 13. Juni … Continue reading "MINTchallenge"