21 Feb 2024. Talk by Roberto Rubio at Mathematical Supergravity 2024.
Abstract: Generalized geometry is a recent approach to geometric structures with the ability of uniting, for instance, complex and symplectic geometry. Many concepts, like diffeomorphism or metric, have their generalized counterpart, and some of them have found applications within mathematics and theoretical physics. In this talk, I will focus on generalized metrics. After a self-contained introduction to generalized geometry, I will discuss the general issue of endowing some spaces or groups with an infinite-dimensional manifold structure. This structure will allow us to state and discuss our main results: a slice theorem for the action of generalized diffeomorphisms on generalized metrics and a stratification of the moduli space of generalized metrics. This is joint work with Carl Tipler.