13 May 2024. Talk by Roberto Rubio at the Generalized Geometry meets String Theory conference (BIRS-IMAG).
Abstract: Generalized complex structures encompass complex and symplectic ones and go beyond them: there are generalized complex manifolds that are neither complex nor symplectic. However, they are only possible on almost complex manifolds, and hence in even dimensions. In this talk, I will discuss how Bn-generalized geometry, a simple and natural variation of generalized geometry, provides a similar framework for manifolds of any dimension and I will focus on the analogue of generalized complex structures for 3-manifolds. This talk is based on recent and ongoing joint work with J. Porti.