Explore the intricate relationship between asymptotic structures at timelike infinity and projective geometry in this 43-minute lecture by Jack Borthwick, presented as part of the Thematic Programme on "Carrollian Physics and Holography" at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI). Delve into advanced concepts in theoretical physics and mathematics as Borthwick unravels the complexities of asymptotic structures and their connection to projective geometry, offering insights that bridge the gap between these two fundamental areas of study.