Dear all, The next Banach spaces webinar is on Friday October 30 9AM CDT (e.g., Dallas, TX time). Please join us at https://unt.zoom.us/j/512907580 Speaker: Victor Reis, University of Washington Title: An Elementary Exposition of Pisier's Inequality Abstract: Pisier's inequality is central in the study of normed spaces and has important applications in geometry. We provide an elementary proof of this inequality by constructing an explicit linear proxy function for a suitable probability distribution, thus avoiding some non-constructive steps in previous proofs. We also show a simplification of Bourgain's construction which is sufficient to give a nearly tight matching lower bound. For more information about the past and future talks, and videos please visit the webinar website http://www.math.unt.edu/~bunyamin/banach Thank you, and best regards, Bunyamin Sari