## 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.

## Next Activities

## Latest publications

#### Geometric invariants of locally compact groups: the homotopical perspective

Kai-Uwe Bux, Elisa Hartmann, José Pedro Quintanilha

We extend the classical theory of homotopical Σ-sets, defined by Bieri, Neumann, Renz and Strebel for abstract groups, to locally compact Hausdorff…

#### 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…

## Latest Blog posts

**Polynomial and metallic manifolds**I recently came across the notion of a polynomial, resp. metallic manifold. Since I have never heard of it before and I assume that the same applies to most of you, I wanted to share its definition with you. Let \(M\) be a (smooth) manifold. A polynomial structure on \(M\) is a \((1,1)\)-tensor field \(\Phi\) … Continue reading "Polynomial and metallic manifolds"

**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"