## Welcome to SPP 2026

This is the platform of a coordinated research programme in mathematics, funded by the German Research Foundation (DFG). It comprises 80 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 Conference 2025

The SPP Main Conference will take place from March 31 to April 4, 2025, at the MPI for Mathematics in the Sciences in Leipzig.

## Latest News

## Next Activities

## Latest publications

#### Myers-Steenrod theorems for metric and singular Riemannian foliations

Diego Corro and Fernando Galaz-García

We prove that the group of isometries preserving a metric foliation on a closed Alexandrov space \(X\), or a singular Riemannian foliation on a…

#### Stability of the generalized Lagrangian mean curvature flow in cotangent bundle

Xishen Jin, Jiawei Liu

In this paper, we consider the stability of the generalized Lagrangian mean curvature flow of graph case in the cotangent bundle, which is first…

#### Non-homogeneous fully nonlinear contracting flows of convex hypersurfaces

Pengfei Guan, Jiuzhou Huang, Jiawei Liu

We consider a general class of non-homogeneous contracting flows of convex hypersurfaces in \(\mathbb R^{n+1}\), and prove the existence and…

#### The twisted conical Kähler-Ricci solitons on Fano manifolds

Xishen Jin, Jiawei Liu

In this paper, we show the relation between the existence of twisted conical Kähler-Ricci solitons and the greatest log Bakry-Emery-Ricci lower bound…

#### Period functions for vector-valued Maass cusp forms of real weight, with an application to Jacobi Maass cusp forms

Roelof Bruggeman, YoungJu Choie, Anke Pohl

For vector-valued Maass cusp forms for* SL*(2,Z) with real weight* k*∈R and spectral parameter *s*∈C, Re*s*∈(0,1), *s*≢±*k*/2 mod 1, we propose a notion of…

## Latest Blog posts

**The Probability of the Law of Excluded Middle**This is basically a repost of this blog post by John Carlos Baez: link. I wanted to share it with you since I find the result unexpectedly interesting. The Law of Excluded Middle states that for any statement P we have that either P or not P is true. Almost all of us work under … Continue reading "The Probability of the Law of Excluded Middle"

**AI achieves silver-medal at IMO**Google developed AI models that achieved on this year’s IMO questions a silver-medal (with only one point away from a gold-medal). You can read more about it in this blog post of Google: link. The for me most interesting thing in this news is not that it achieves a silver-medal, but how the system works, … Continue reading "AI achieves silver-medal at IMO"

**All triangulations have a common stellar subdivision**Already in April a paper was put on the arXiv (2404.05930) by Karim Adiprasito and Igor Pak proving the following result: Every two triangulations of a geometric complex in Euclidean space have a common stellar subdivision. At first I was a bit confused, because my mind connected this to the Hauptvermutung, which was disproven a … Continue reading "All triangulations have a common stellar subdivision"