## Welcome to SPP 2026

This is the platform of a coordinated research programme in mathematics, funded by the German Research Foundation (DFG). It comprises 79 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.

### Kick-off meeting

The Kick-Off Meeting for the second SPP funding period will take place on 4 and 5 November 2021.

## Next Activities

## Latest publications

#### Manifolds with many Rarita-Schwinger fields

Christian Baer, Rafe Mazzeo

The Rarita-Schwinger operator is the twisted Dirac operator restricted to 3/2-spinors. Rarita-Schwinger fields are solutions of this operator which…

#### Realisations of elliptic operators on compact manifolds with boundary

Lashi Bandara, Magnus Goffeng, Hemanth Saratchandran

This paper investigates realisations of elliptic differential operators of general order on manifolds with boundary following the approach of…

#### Scalar and mean curvature comparison via the Dirac operator

Simone Cecchini, Rudolf Zeidler

We use the Dirac operator technique to establish sharp distance estimates for compact spin manifolds under lower bounds on the scalar curvature in the…

#### Smooth convergence to the enveloping cylinder for mean curvature flow of complete graphical hypersurfaces

Wolfgang Maurer

For a mean curvature flow of complete graphical hypersurfaces *M**_t*=graph *u*(⋅,*t*) defined over domains Ω*_t*, the enveloping cylinder is ∂Ω*_t*×R. We prove…

## Latest Blog posts

**Extensions, coarse embeddability and the coarse Baum-Connes conjecture**One of the pinnacle results so far about the (strong) Novikov conjecture is Guoliang Yu’s proof that it holds for groups which are coarsely embeddable into a Hilbert space. In fact, he first proved that under this assumption the coarse Baum-Connes conjecture holds, and then one can invoke the descent principle to get to the … Continue reading "Extensions, coarse embeddability and the coarse Baum-Connes conjecture"

**Multiplying matrices**Two years ago I blogged about recent developments about multiplying integers. The next most important operation in (applied) mathematics is multiplying matrices. The usual way of doing this requires \(n^3\) multiplications (and some additions) for multiplying two \((n\times n)\)-matrices. But there is actually a way of doing it with less than this: the current record … Continue reading "Multiplying matrices"