3 problems

For a symmetric convex body $K\subseteq\mathbb{R}^n$, let $T_K=\mathbb{R}^n+\sqrt{-1}K$ be its tube domain, and let $\mathcal{B}_{T_K}$ denote its Bergman kernel. Błocki's Bergman-…

For a convex body $K\subseteq\mathbb{R}^n$, let $T_K=\mathbb{R}^n+\sqrt{-1}K$ be its tube domain, let $\mathcal{B}_{T_K}$ denote its Bergman kernel, and let $\Delta_{n,0}$ be the s…

Kuperberg's conjecture. For every centrally symmetric convex body $K\subseteq\mathbb R^n$,