Complexity of Submanifolds and Colding-Minicozzi Entropy

Explore the concept of Colding-Minicozzi entropy in submanifolds of Euclidean space through this illuminating lecture by Jacob Bernstein from Johns Hopkins University. Delve into the definition of entropy as the supremum of Gaussian weighted surface areas across translations and dilations. Discover how this geometric measure of complexity, initially developed for studying mean curvature flow singularities, has broader applications. Examine recent advancements in hypersurface entropy research, with a focus on work by Lu Wang and Bernstein demonstrating that closed hypersurfaces with low entropy exhibit simplicity in various aspects. Gain insights into this fascinating area of geometric analysis as part of the Nirenberg Conference in Geometric Analysis and Quebec Mathematical Sciences Colloquium.