The goal of this STEaLTH Workshop is to provide an essentially self-contained exposition of the metric Xp inequalities and their applications. The material that will be covered can be found in the papers :
A. Naor, Discrete Riesz transforms and sharp metric Xp inequalities, Ann. of Math. (2) 184 (2016), no. 3, 991–1016.
A. Naor and Gideon Schechtman, Metric Xp inequalities, Forum Math. Pi 4 (2016), e3, 81 pp.
Only a very basic knowledge of functional analysis is required to be able to follow the workshop. The workshop will consist of several 30ish-minute stand-alone vignette-talks given by the following Texas A&M faculty: Patricia Alonso Ruiz, Flo Baudier, Irina Holmes Fay, and Grigoris Paouris.