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Workshop

Some finite quantum Riemannian geometries

  • Shahn Majid (Queen Mary University of London, United Kingdom)
E1 05 (Leibniz-Saal)

Abstract

I outline a formulation of quantum Riemannian geometry using bimodule connections. I give some examples in the finite case where it is possible for a fixed differential algebra to construct the moduli of all possible quantum Riemannian geometries on it, as a step towards quantum gravity. In particular, this will be solved for the geometry of a square graph, including a reasonable Einstein-Hilbert action for the quantum metric as given by lengths assigned to the edges.

Antje Vandenberg

Max Planck Institute for Mathematics in the Sciences (Leipzig), Germany Contact via Mail

Felix Finster

University of Regensburg, Germany

Domenico Giulini

University of Hanover, Germany

Jürgen Jost

Max Planck Institute for Mathematics in the Sciences (Leipzig), Germany

Johannes Kleiner

University of Hanover, Germany

Jürgen Tolksdorf

Max Planck Institute for Mathematics in the Sciences (Leipzig), Germany