Seminarium "The Trans-Carpathian Seminar on Geometry & Physics"

The purpose of this talk is to give an introduction to the tractor calculus, which is an efficient and powerful tool for constructing conformal invariants on conformal manifolds. I will start with a review of the (Weyl) pseudo-Riemannian and conformal invariants, discuss a connection of the tractors with the almost Einstein equation, and finish with a strategy of constructing conformal invariants from the tractor curvature.
This talk is based on "An introduction to conformal geometry and tractor calculus, with a view to applications in general relativity" by S. Curry and R. Gover, arXiv:1412.7559 [math.DG].