Seminar on Banach and Metric Space Geometry
Date: February 22, 2019
Time: 3:00PM - 4:00PM
Location: BLOC 220
Speaker: Alexandros Ezkenasis, Princeton University
Title: Progress on Enflo's conjecture
Abstract: In modern terminology, Enflo's conjecture (1978) asserts that a Banach space X has Rademacher type p if and only if it satisfies a metric property called Enflo type p. Loosely speaking, the conjecture suggests that all X-valued functions on the Hamming cube satisfy a dimension independent Lp Poincare inequality if and only if the same inequality is satisfied merely for linear functions. In his 1986 work, Pisier showed that Banach spaces of Rademacher type p have Enflo type q for every q