The Mahler Conjecture for General Convex Bodies

We resolve the Mahler conjecture for general convex bodies positively. For every convex body $K\subset {\mathbb{R}}^n$, n ≥ 1, with Santaló point $s(K)$, $|K||(K-s(K){)}^{\circ }|\ge (n+1{)}^{n+1}/(n!{)}^2$, with equality exactly for simplices.