# Events for 12/08/2023 from all calendars

## Free Probability and Operators

**Time: ** 4:00PM - 5:00PM

**Location: ** BLOC 306

**Speaker: **Antonio Ismael Cano-Marmol, Baylor University

**Title: ***Xp inequalities on free groups*

**Abstract: **Naor and Schechtman recently introduced the so-called metric Xp inequalities, an obstruction for embeddings of Lq into Lp whenever 2 < q < p . This invariant was refined by Naor via a fundamental inequality in the Hamming cube which strongly relies on Fourier analysis. In this talk, we will show that this latter result can be understood within the frame of noncommutative harmonic analysis. In particular, the case over the group von Neumann algebra of the free group will be described. Moreover, we will briefly discuss some metric consequences and possible further work. This is joint work with José M. Conde-Alonso and Javier Parcet.