MathematischeGesellschaft Generalized connections and integrability |
Vortragende Person:Prof. Dr. Vicente Cortés, Fachbereich Mathematik, Universität Hamburg
Veranstalter:Mathematisches Institut
Beschreibung:
We characterize the integrability of various structures on Courant algebroids in terms of torsion-free generalized connections.The applications include generalized K\"ahler and generalized hyper-K\“ahler structures as particular examples. We do also give a spinorial characterization in the case of regular Courant algebroids. This is based on the theory of Dirac generating operators, for which we develop a new approach based on the geometric data encoding the regular Courant algebroid.This is joint work with Liana David, see arXiv:1905.01977.
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Veranstaltungsart:Kolloquium
Veranstaltungssprache:Englisch
Kategorie:Forschung
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