15.02.2024 (Thursday)

AN Hadwiger's problem for convex bodies with enough sub-gaussian marginals

regular seminar Joaquín Singer (University of Buenos Aires)

at:
11:00 - 12:00
KCL, Strand
room: S5.20
abstract:


Through a probabilistic approach we show that the bound $\exp(-\Omega(n))\cdot4^n$ can be obtained for convex bodies with sufficiently many well-behaved sub-gaussian marginals. Using a small diameter approximation, we present how the currently best known bound for the general case, due to Campos, Van Hintum, Morris, and Tiba can also be deduced from our results.

Keywords: