Seminar on Banach and Metric Space Geometry

Date: April 2, 2019

Time: 3:00PM - 4:00PM

Location: BLOC 220

Speaker: Gilles Lancien, Universite de Bourgogne Franche-Comte

Title: Concentration phenomenon vs non coarse embeddability

Abstract: We will discuss the coarse embeddability of the Hamming graphs and of Kalton's interlaced graphs into Banach spaces. Concentration inequalities for Lipschitz maps defined on these graphs have proven to be very important coarse invariants for Banach spaces. We will explain in each case, why they are different from the "non equi-coarse embeddability" of the corresponding family of graphs. These remarks are taken from joint works with C. Petitjean and A. Prochazka and with F. Baudier, P. Motakis and Th. Schlumprecht.