Wednesday 14 January 2026 at 4:45 pm, as part of the Insalate di Matematica seminar cycle, Gabriele Barbieri (University of Milano-Bicocca) will give the following talk
Title: An introduction to diffeology
Abstract: Diffeology is a framework for differential geometry introduced by J.-M. Souriau. Its central idea is to specify which parametrizations from Euclidean spaces into a given set are declared smooth. These parametrizations need not be locally injective, a feature that allows diffeology to encode smooth structures not only on manifolds, but also on singular quotients and infinite-dimensional spaces. In this talk we will introduce the theory by presenting its axioms and basic constructions, and discuss illustrative examples and counterexamples, with comparisons with standard differential geometry. Time permitting, we will briefly indicate applications to symplectic reduction.
Keywords: diffeology, differential geometry, singular spaces
Information to attend
The seminar will be held in Room U9-11 (U9 Building | Piazza dell'Ateneo Nuovo 1, Milano) and will also be available online by this link (password: insalate, 46725283 from phones).
For more information, visit the website