BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20251018T195013EDT-09562RbhJU@132.216.98.100 DTSTAMP:20251018T235013Z DESCRIPTION:Title: Singularity formation in Black Hole interiors\n Abstract: The prediction that solutions of the Einstein equations in the interior o f black holes must always terminate at a singularity was originally concei ved by Penrose in 1969\, under the name of 'strong cosmic censorship hypot hesis'. The nature of this break-down (i.e. the asymptotic properties of t he space-time metric as one approaches the terminal singularity) is not pr edicted\, and remains a hotly debated question to this day. One key questi on is the causal nature of the singularity (space-like\, vs null for examp le). Another is the rate of blow-up of natural physical/geometric quantiti es at the singularity. Mutually contradicting predictions abound in this t opic. Much work has been done under the assumption of spherical symmetry ( for various matter models). We present a stability result for the Schwarzs child singularity under polarized axi-symmetric perturbations of the initi al data\, joint with G. Fournodavlos). One key innovation of our approach is a certain new way to treat the Einstein equations in axial symmetry\, w hich should have broader applicability.\n\n \n DTSTART:20200611T163000Z DTEND:20200611T173000Z SUMMARY:Spyros Alexakis (Toronto) URL:/mathstat/channels/event/spyros-alexakis-toronto-3 22639 END:VEVENT END:VCALENDAR