## 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.

### Call for proposals 2020-2023

The call for proposals for the second funding period 2020-2023 has been released by the DFG.

## Next Activities

## Latest publications

#### Stability of the conical Kähler-Ricci flows on Fano manifolds

Jiawei Liu, Xi Zhang

In this paper, we study the stability of the conical Kähler-Ricci flows on Fano manifolds. That is, if there exists a conical Kähler-Einstein metric...

#### Cusp Kähler-Ricci flow on compact Kähler manifolds

Jiawei Liu, Xi Zhang

In this paper, we study the limiting flow of conical Kähler-Ricci flows when the cone angles tend to $0$. We prove the existence and uniqueness of...

#### 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...

#### A geometric approach to $K$-homology for Lie manifolds

Karsten Bohlen, Jean-Marie Lescure

We prove that the computation of the Fredholm index for fully elliptic pseudodifferential operators on Lie manifolds can be reduced to the computation...

## Latest Blog posts

**Multiplying integers**The classical algorithm, that everyone knows from elementary school, for multiplying two n-digit integers runs in \(O(n^2)\)-time. Recently, there was a preprint posted on HAL (link) in which the authors provide an algorithm which runs in \(O(n\log(n))\)-time. A nice article about this discovery may be found at the QuantaMagazine: link. Further, it was also recently proven in another preprint … Continue reading "Multiplying integers"

**Two quite different prizes**In the last few weeks were two quite different prizes awarded, on which I want to report. In March 14th, 2019, the L’Oréal-UNESCO For Women in Science International Awards (homepage, UNESCO webpage, wikipedia) were presented to five women. One of the five laureates is Claire Voisin (wikipedia) who is “rewarded for her outstanding work in algebraic geometry. Her pioneering … Continue reading "Two quite different prizes"

**AMS Special Session on the Mathematics of John Roe**There was a Special Session on Coarse Geometry, Index Theory, and Operator Algebras: Around the Mathematics of John Roe at the Spring Central and Western Joint Sectional Meeting of the AMS last weekend to which Christopher and I were invited to give talks. John Roe passed away last year. His personal webpage is still online … Continue reading "AMS Special Session on the Mathematics of John Roe"