I shall prove a neat inequality concerning convex bodies and semi-norms, and show that cylinders (i.e. direct products of intervals with convex bodies of lower dimension) give equality cases for it. I shall explain its connections to the Log-Brunn-Minkowski conjecture. If time permits, I will discuss related results and surrounding questions. Based on a joint work with A. V. Kolesnikov https://arxiv.org/pdf/2004.06103.pdf. The talk will be whiteboard.

Zoom ID: 939 3643 7199 (opens 15 min prior to the meeting)
Passcode: 9917