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.
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Latest publications
A small closed convex projective 4-manifold via Dehn filling
Gye-Seon Lee, Ludovic Marquis, Stefano Riolo
In order to obtain a closed orientable convex projective four-manifold with small positive Euler characteristic, we build an explicit example of...
Anti-de Sitter strictly GHC-regular groups which are not lattices
Gye-Seon Lee, Ludovic Marquis
For d = 4, 5, 6, 7, 8, we exhibit examples of \(\mathrm{AdS}^{d,1}\) strictly GHC-regular groups which are not quasi-isometric to the hyperbolic space...
Currents, systoles, and compactifications of character varieties
Marc Burger, Alessandra Iozzi, Anne Parreau, Beatrice Pozzetti
We study the Thurston–Parreau boundary both of the Hitchinand of the maximal character varieties and determine therein an open setof discontinuity for...