Goenner’s lecture on geometry and unified field theories focuses on Einstein’s approach to unify gravity with electromagnetism. Einstein hypothesized that both forces were described by one metric, that can be split into a symmetric and antisymmetric part. Studying the parallel transport of a vector leads to constraints on the metric that are important in these studies. Goenner finishes with an extensive discussion of different sets of field equations, in different dimensions.
This lecture is accompanied by a presentation. Prior knowledge of geometry and the unification of field theories is needed to fully grasp the message of this lecture.