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Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo

"Decomposition of curvature tensor for metrics with torsion"

I will first review the classical decomposition of the Riemann curvature tensor into scalar, traceless Ricci, and Weyl curvature, with an emphasis on special features in dimensions 3 and 4. Then I will consider the more general case of a metric compatible connection with torsion, and see how this decomposition generalizes.