Title: Metric X_p inequalities.
Speaker: Assaf Naor
Speaker Info: Princeton University
The purpose of this talk is to explain how a moment inequality for sums of symmetrically exchangeable random variables of Johnson, Maurey, Schechtman and Tzafriri (1979) inspired the definition of a new metric invariant that completes the search for bi-Lipschitz invariants that certify when L_q fails to embed into L_p. These investigations include various extensions of the classical moment inequality of Johnson, Maurey, Schechtman and Tzafriri, including its generalization to noncommutative settings as well as to Rademacher chaos of arbitrary order.Date: Tuesday, May 14, 2019