Explore new inequalities for the volume of 2-zonoids and their potential extensions to p-zonoids in this 27-minute lecture from the Calculus of Variations in Probability and Geometry Workshop. Delve into an analogous conjectural inequality on determinants, examining its reduction to the preceding inequality for specific p-values. Gain insights into Minkowski sums, pzonoids, proofs, projections, subspaces, and support functions as presented by Matthieu Fradelizi from Université Paris-Est Marne-la-Vallée.