Eskenazis, Nayar and Tkocz have shown recently some resilience of Ball's celebrated cube slicing theorem, namely they proved that the hyperplane perpendicular to the vector $(e_1 + e_2)/\sqrt{2}$ admits the maximal volume of central hyperplane section of the unit ball of $l^n_p(R)$ for large $p$. During this talk I will show that the complex analogue, i.e. resilience of the polydisc slicing theorem proven by Oleszkiewicz and Pełczyński, holds for large $p$ and small $n$, but does not hold for any $p > 2$ and large $n$. Based on joint work with Hermann Koenig.
Meeting Id: 938 3739 5367 Password : 313848