3 problems

Mahler's lower-bound conjecture for centrally symmetric convex bodies
Let $K\subseteq\mathbb{R}^n$ be a centrally symmetric convex body, and let $K^\circ$ be its polar body. Define the Mahler volume by … Let $C_n=[-1,1]^n$ be the cube. Mahler's conje…
openconvex-geometry mahler-volume
0 responses
03
Asymptotic $L^p$ -Mahler volume conjecture for the simplex
Simplex asymptotic conjecture.
openasymptotics convex-geometry mahler-volume
0 responses
03
Existence of an extremizer for the proposed Mahler-volume lower bound
Existence conjecture. There is a symmetric convex set $K$ in $\mathbb{R}^n$ such that
openconvex-geometry extremal-problems mahler-volume
0 responses
08

Mahler's lower-bound conjecture for centrally symmetric convex bodies