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Explore the fourth part of Lecture 4 on isoperimetric inequalities in high dimensional convex sets, delivered by Joseph Lehec at the Institut Henri Poincaré. Delve into advanced mathematical concepts related to Bourgain's slicing problem and the Kannan-Lovasz-Simonovits (KLS) isoperimetric conjecture. This 38-minute lecture is part of a comprehensive IHP school series, featuring talks by Bo'az Klartag and Joseph Lehec. Gain insights into cutting-edge research in convex geometry and high-dimensional probability theory. Suitable for graduate students and researchers in mathematics, this lecture contributes to the understanding of fundamental problems in geometric functional analysis and convex geometry.
