Seminar on Banach and Metric Space Geometry
Date: December 3, 2020
Time: 09:00AM - 09:50AM
Location: online seminar
Speaker: Alexandros Eskenazis, Trinity College, University of Cambridge
Title: On Talagrand’s influence inequality (part II)
Abstract: Talagrand's influence inequality (1994) is an asymptotic improvement of the classical L2 Poincaré inequality on the Hamming cube {-1,1}n with numerous applications to Boolean analysis, discrete probability theory and geometric functional analysis. In these talks, we shall discuss various refinements of Talagrand's inequality, including its Lp analogues and Banach space-valued versions. Emphasis will be given to the probabilistic aspects of the proofs. We will also explain a geometric application of these new refinements to the bi-Lipschitz embeddability of a natural family of finite metrics and mention related open problems.