Maximal sections of the unit ball of l^n_p(C) for p > 2

Eskenazis, Nayar and Tkocz have shown recently some resilience of Ball’s celebrated cube slicing theorem, namely its analogue in l^n_p for large p. 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.