3 problems

Let $K$ be a convex body in $\mathbb{R}^{n}$, and let $\mathcal{P}(K)$ denote its volume product. Let $\Delta_n$ be a regular simplex in $\mathbb{R}^{n}$. Non-symmetric Mahler's co…

Let $B\in\mathcal{K}^2_o$ be an $o$-symmetric convex body in $\mathbb{R}^2$, let $Q_6(B)$ denote the associated six-vertex convex polygon, and let $B^{\circ}$ be the polar body of…

Stronger symplectic-polar volume conjecture. Assuming Viterbo's conjecture,