Generalized geometry through Clifford algebra glasses

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25 Jan 2024. Talk by Roberto Rubio at the Cable Car Algebra Seminar (Technion-UHaifa), University of Haifa.

Abstract: Generalized geometry is a recent approach to geometric structures encompassing symplectic and complex geometry. At its heart lies a Clifford module, which is essentially a global version of the spin representation of the Clifford algebra. In this talk, I will give an introduction to generalized geometry from the Clifford algebra viewpoint, survey the main achievements of the theory, and mention some recent results (joint with Joan Porti) concerning 3-manifolds.