Isoperimetric inequalities in high-dimensional convex sets | Synapse
October 2, 2025Open Access
Isoperimetric inequalities in high-dimensional convex sets
Key Points
Recent progress towards Bourgain’s slicing problem highlights key advances in high-dimensional geometry.
The lecture notes explore the isoperimetric conjecture proposed by Kannan, Lovasz, and Simonovits.
These findings contribute to our understanding of isoperimetric inequalities within convex sets.
The notes summarize ongoing research and open questions in the field of high-dimensional convex analysis.
Abstract
These are lecture notes focusing on recent progress towards Bourgain’s slicing problem and the isoperimetric conjecture proposed by Kannan, Lovasz, and Simonovits (KLS).