Dear all, The next Banach spaces webinar is on Friday 3/27 9AM Central Time. Please join us at https://unt.zoom.us/j/512907580 Speaker: Ramon van Handel, Princeton University. Title: Rademacher type and Enflo type coincide Abstract: A nonlinear analogue of the Rademacher type of a Banach space was introduced in classical work of Enflo. The key feature of Enflo type is that its definition uses only the metric structure of the Banach space, while the definition of Rademacher type relies on its linear structure. We prove that Rademacher type and Enflo type coincide, settling a long-standing open problem in Banach space theory. The proof is based on a novel dimension-free analogue of Pisier's inequality on the discrete cube. Upcoming schedule April 3: Kevin Beanland, Washington and Lee April 10: Pavlos Motakis, UIUC April 17: Mikhail Ostrovskii, St. John’s April 24: Tomasz Kania, Czech Academy For more information please visit the webinar website http://www.math.unt.edu/~bunyamin/banach Thank you, and best regards, Bunyamin Sari