Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only! Grab it Watch a 53-minute mathematics lecture exploring the relationship between log-concavity, duality, and Gaussian diffusions through the lens of the Blaschke-Santalo inequality. Delve into advanced mathematical concepts as Professor Dario Cordero-Erausquin presents collaborative research conducted with Nathael Gozlan, Shohei Nakamura, Hiroshi Tsuji, M. Fradelizi, and D. Langharst. Examine how the Legendre transform manifests in heat diffusion processes while investigating semi-group approaches to fundamental geometric inequalities.