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Noncommutative geometry and its relation to General Relativity

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If you have a question about this talk, please contact Helvi Witek.

There are many noncommutative geometries, which means that the subject can eventually be shown to be useless but never wrong. The version we favour is most conveniently formulated using an extension of Cartan’s moving-frame formalism, uses a Minkowski-signature metric and has no need of a action. The field equations are derived from Jacobi identities. A general introduction will be given to the subject, in particular when and why one might expect problems when forcing coordinates to commute. Briefly will be mentioned the possibility of replacing the hidden manifold of Kaluza-Klein theory by a matrix geometry and of blowing up the Big Bang. Contact will be made with quantum gravity. Last but certainly not least some open problems will be discussed.

This talk is part of the DAMTP Friday GR Seminar series.

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