Explore ancient convex solutions to Mean Curvature Flow in this 1 hour 15 minute lecture from the International School on Extrinsic Curvature Flows. Delivered by Sigurd Angenent from the University of Wisconsin-Madison, the talk delves into the dynamics, symmetry, and asymmetry of ancient solutions to Mean Curvature Flow. As part of the broader series on extrinsic curvature flows, this fourth installment focuses specifically on ancient convex solutions to MCF, offering advanced insights into this complex mathematical topic.