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Delve into the fourth part of a lecture series on isoperimetric inequalities in high-dimensional convex sets, presented by Joseph Lehec at the Institut Henri Poincaré. Explore the intricacies of Bourgain's slicing problem and the Kannan-Lovasz-Simonovits (KLS) isoperimetric conjecture in this 44-minute session. Gain insights into advanced mathematical concepts and their applications in high-dimensional geometry. Part of an IHP school featuring lectures by Bo'az Klartag and Joseph Lehec, this talk contributes to a deeper understanding of geometric inequalities and their significance in convex analysis.
