## Geometry Seminar - Abstracts

### Talk

Some results on the $$C^0$$-(in)extendibility of spacetimes
Recently there has been an interest in low regularity aspects of Lorentzian geometry motivated by the strong cosmic censorship conjecture in general relativity. In particular it is of general interest to determine whether or not a given spacetime admits a $$C^0$$ spacetime extension. In this talk we will show that timelike complete and globally hyperbolic spacetimes do not admit $$C^0$$-extensions (this is joint work with Greg Galloway and Jan Sbierski). We will then show that there exists a class of $$k = -1$$ inflationary FLRW spacetimes dubbed 'Milne-like' which do admit $C^0$-extensions and in fact extend through the big bang. Applications to cosmology will be discussed.