Speaker
John Harvey
(Cardiff)
Description
Lorentzian length spaces with lower timelike curvature bounds have a number of similarities with their positive signature counterparts, Alexandrov spaces. For example, geodesics do not branch and, under reasonable hypotheses, the triangle comparison condition holds true in the large. In this talk, I outline how to adapt the Alexandrov notion of strainers to the Lorentzian setting and demonstrate that Lorentzian length spaces with a lower timelike curvature bound contain an open dense set which is a manifold. This is joint work with Tobias Beran, Felix Rott and Clemens Sämann.