A rank-4 tensor Riemann would have loved plus spinor-techniques in differential geometry

Abstract: I would like to discuss two topics that have proved very useful in the parts of differential geometry used in General Relativity and other theories of gravity. The first one is the introduction of a divergence-free rank 4 tensor which was hiding in plain sight up until our paper ( Phys. Rev. D 99 (2019) 4, 044026). The second topic will include formulating differential geometry in terms of Weyl spinors which are fundamental representations of SL(2,C).

algebraic geometry

Audience: researchers in the discipline

( paper )

ODTU-Bilkent Algebraic Geometry Seminars