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Alexandros Eskenazis, Sorbonne University Paris
December 13, 2023 @ 6:00 pm - 7:00 pm UTC+4
Title: Resilience of cube slicing in $\ell_p$
Abstract: We shall discuss the state of the art on the problem of identifying the volume maximizing and minimizing hyperplane sections of $p$-balls in $\mathbb{R}^n$. After explaining a reduction to a sharp probabilistic estimate on moments of rotationally invariant random vectors, we will present a recent work with P. Nayar (Warsaw) and T. Tkocz (CMU) identifying the volume maximizing section for $p$ greater than a universal constant.