16 Sep 2025. Talk by Jaime Pedregal at the meeting of the Spanish Network of Geometry and Physics, Barcelona.
Abstract: In differential geometry, flat spaces can be seen as the “simplest” objects. For instance, a flat Riemannian manifold is locally Euclidean not only smoothly, but geometrically. In the presence of skew-symmetric torsion, the situation seems a bit richer, in the sense that there are many models for flat spaces: compact simple Lie groups and the 7-sphere. In this talk, I will briefly describe the flat situation in generalized Riemannian geometry, a theory which contains and expands Riemannian geometry with skew-symmetric torsion.