## 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

#### Asymptotic geometry of the Hitchin metric

Rafe Mazzeo, Jan Swoboda, Hartmut Weiß, Frederik Witt

We study the asymptotics of the natural \(L^2\) metric on the Hitchin moduli space with group \(G=SU(2)\). Our main result, which addresses a detailed...

#### First explicit constrained Willmore minimizers of non-rectangular conformal class

Lynn Heller, Cheikh Birahim Ndiaye

We study immersed tori in 3-space minimizing the Willmore energy in their respective conformal class. Within the rectangular conformal...

#### Boundary value problems for the Lorentzian Dirac operator

Christian Bär, Sebastian Hannes

On a compact globally hyperbolic Lorentzian spin manifold with smooth spacelike Cauchy boundary the (hyperbolic) Dirac operator is known to be...

#### Expanding solutions of quasilinear parabolic equations

Nikolaos Roidos

We decompose locally in time maximal \(L^{q}\)-regular solutions of abstract quasilinear parabolic equations as a sum of a smooth term and an...

## Latest Blog posts

**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"

**What’s new on the ArXiv: Ricci flow and diffeomorphism groups of 3-manifolds**A new paper proves the contractibility of the space of constant curvature metrics on all 3-manifolds except possibly real projective space. Bamler, Kleiner: Ricci flow and diffeomorphism groups of 3-manifolds, https://arxiv.org/pdf/1712.06197.pdf The Smale conjecture in its original form asserted that the diffeomorphism group of the 3-sphere deformation retracts onto O(3), the isometry group of its … Continue reading "What’s new on the ArXiv: Ricci flow and diffeomorphism groups of 3-manifolds"

**What’s new on the ArXiv: A locally hyperbolic 3-manifold that is not hyperbolic**A preprint with a new example shows that the understanding of infinitely generated Kleinian groups will be more complicated than for the finitely generated ones. Cremaschi: A locally hyperbolic 3-manifold that is not hyperbolic, https://arxiv.org/pdf/1711.11568 By the proofs of hyperbolization and tameness, one knows precisely which irreducible 3-manifolds with finitely generated fundamental groups admit hyperbolic … Continue reading "What’s new on the ArXiv: A locally hyperbolic 3-manifold that is not hyperbolic"