Sir Roger Penrose - The palatial twistor approach to Einstein lambda vacuums

Jurekfest 2019 - day 4, lecture 1. Speaker: Sir Roger Penrose (introduction by Jurek Lewandowski). Title: The palatial twistor approach to Einstein lambda vacuums. Abstract: For some four decades, a major obstacle to the development of twistor theory, as an approach to fundamental physics, has been the absence of a satisfactory solution to the “googly problem” where by right-handed (i.e. self-dual) solutions of Einstein’s vacuum equations might be expressible within the conventional left-handed twistor framework. However, a recent development appears to provide a way of resolving the googly issue by encoding general solutions of the Einstein Lambda-vacuum equations in terms of a non-commutative twistor algebra (palatial twistor theory), obtained via a geometric quantization procedure, and constructed directly from freely chosen generating functions of an unusual type. Slides: http://jurekfest.fuw.edu.pl/slides/penrose.pdf Link to conference's webpage: http://jurekfest.fuw.edu.pl.