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.
Next Activities
Latest publications
Gassmann triples with special cycle types and applications
Holger Kammeyer, Steffen Kionke
We show that if one of various cycle types occurs in the permutation action of a finite group on the cosets of a given subgroup, then every almost…
K-cowaist of manifolds with boundary
Christian Bär, Bernhard Hanke
We extend the K-cowaist inequality to generalized Dirac operators in the sense of Gromov and Lawson and study applications to manifolds with boundary.
…Kac-Moody Symmetric Spaces: An Addendum
Ralf Köhl, Christian Vock
Kac-Moody symmetric spaces have been introduced by Freyn, Hartnick, Horn and the first-named author for centered Kac-Moody groups, that is, Kac-Moody…
Fundamental groups of split real Kac-Moody groups and generalized real flag manifolds. With appendices by Tobias Hartnick and Ralf Köhl and by Julius Grüning and Ralf Köhl
Paula Harring, Ralf Köhl
We determine the fundamental groups of symmetrizable algebraically simply connected split real Kac-Moody groups endowed with the Kac-Peterson…