Sharp Isoperimetric Inequalities on the Hamming Cube

Explore a mathematical lecture examining isoperimetric problems for the Hamming cube, originating from Talagrand's work and the interpolation between edge- and vertex-isoperimetric problems. Delve into the significance of two-point inequalities and their applications in this context through detailed mathematical analysis and demonstrations. Learn advanced concepts in discrete mathematics and geometric measure theory over 82 minutes of in-depth discussion from the Hausdorff Center for Mathematics.