2 problems

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Symmetric strong isotropic constant conjecture
A convex body $K\subset\mathbb{R}^n$ is centrally symmetric if there exists a point $c\in\mathbb{R}^n$ such that $K-c=-(K-c)$ . Let $C_n$ be an $n$ -dimensional parallelepiped, and l…
Conjectureopenconvex-geometry isotropic-constants symmetric-convex-bodiesarXiv posted 2 days ago
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Saint Raymond's Hanner-Hansen-Lima body conjecture for the symmetric volume product
Saint Raymond's conjecture. The volume product $|K|\cdot|K^*|$ attains its minimum exactly for the Hanner-Hansen-Lima bodies.
Conjectureopenconvex-geometry symmetric-convex-bodies volume-productarXiv posted 2 days ago

Symmetric strong isotropic constant conjecture