Quebec Mathematical Sciences Colloquium

November 4, 2022 from 15:30 to 16:30 (Montreal/EST time) On location

(Nirenberg Lecture) Complexity of Submanifolds and Colding-Minicozzi Entropy

Colloquium presented by Jacob Bernstein (Johns Hopkins University)

Given a submanifold of Euclidean space, Colding and Minicozzi defined its entropy to be the supremum of the Gaussian weighted surface areas of all of its translations and dilations. While initially introduced to study singularities of mean curvature flow, it has proven to be an interesting geometric measure of complexity. In this talk I will survey some of the recent progress made on studying the Colding-Minicozzi entropy of hypersurfaces. In particular, I will discuss a series of work by Lu Wang and myself showing closed hypersurfaces with small entropy are simple in various senses.


Centre de recherches mathématiques Pavillon André-Aisenstadt, Université de Montréal Room 5340