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
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...