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On Courant algebroid connections and a little bit of physics

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Jan Vysoky
Czech Academy of Sciences / MPIM
Mit, 2016-11-16 10:30 - 12:00
MPIM Lecture Hall

Linear connections on Courant algebroids are a natural extension of vector bundle connections. However, it is not straightforward to find suitable definitions of torsion and curvature operators. After a brief introduction to the theory of Courant algebroids and linear connections, such definitions are discussed. Interestingly, they provide a surprisingly natural desctription of certain equations of motion coming from supergravity and string theory. This encourages a further study of these geometrical structures.

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