21 Mar 2024, 11h CET. Talk by M. García-Fernández.
Abstract: A smooth divergence on a Courant algebroid E is a differential operator from sections of E to functions on the base manifold, satisfying a natural Leibniz rule with respect to the anchor map. Divergence operators keep track of the ‘conformal geometry’ of the Courant algebroid and play an important role in defining natural curvature quantities in generalized geometry, such as the generalized Ricci tensor. In the first part of this talk, I will give a (gentle) overview of basic aspects of the theory of smooth divergences. In the second part of this talk, we will introduce the notion of ‘holomorphic divergence’ and explain their interplay with the theory of canonical generalized metrics on a complex manifold.
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