2 problems

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The hyperplane conjecture for symmetric convex bodies
Hyperplane conjecture. There is an absolute constant $C>0$ such that $L_K\leq C$ for every dimension $n$ and every $K\in\mathcal{K}_s^n$ . The source recalls that this is equivalent…
Conjectureopenconvex-geometry hyperplane-conjecture isotropic-constantsarXiv posted 2 days ago
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A quantitative Busemann–Petty conjecture for centrally symmetric convex bodies
Quantitative Busemann–Petty conjecture. There exists a universal constant $c>0$ such that, whenever
Conjectureopenconvex-geometry geometric-inequalities hyperplane-conjecturearXiv posted 2 days ago

The hyperplane conjecture for symmetric convex bodies