Explore a comprehensive lecture on monotonicity formulae and non-collapsing estimates for mean curvature flow and their applications. Delivered by Gerhard Huisken from Tübingen University, this 1-hour 13-minute talk is part of the International School on Extrinsic Curvature Flows. Delve into advanced mathematical concepts and their practical implications in the field of geometric analysis. Gain insights into the latest research and developments in mean curvature flow, a topic of significant interest in differential geometry and mathematical physics.