Brunn-Minkowski Inequalities via Concavity of Entropy

Explore the mathematical concepts of Brunn-Minkowski inequalities through the lens of entropy concavity in this 27-minute lecture by Liran Rotem at the Hausdorff Center for Mathematics. Delve into the intricate relationship between geometric inequalities and information theory, examining how the concavity of entropy can be used to derive and understand Brunn-Minkowski inequalities. Gain insights into the applications of these concepts in convex geometry and probability theory, and discover how this approach provides a fresh perspective on classical results in the field.