Explore isoperimetric inequalities in high dimensional convex sets in this lecture by Bo'az Klartag from Université de Poitiers. Delve into the first part of the third lecture in a series focusing on Bourgain's slicing problem and the Kannan, Lovasz, and Simonovits (KLS) isoperimetric conjecture. Gain insights into advanced mathematical concepts and their applications in high-dimensional geometry. Presented as part of an Institut Henri Poincaré school, this hour-long session offers a deep dive into cutting-edge research in convex geometry and related fields.