Seminario Q-Math
Property A vs. coarse embedding via graphs
Ponente: Patrick Kreitzberg (University of Montana)Fecha: miércoles 30 de octubre de 2024 - 13:00Lugar: Room 2.2.D08, Universidad Carlos III de Madrid
Online: https://eu.bbcollab.com/guest/d3ed81bffda3423692c5df53a2d584f4 (active on request)
Resumen:
Since the creation of the coarse Baum-Connes conjecture there has been great interest in finding metric spaces which coarsely embed into Hilbert space. Of particular interest is when a metric space coarsely embeds into a Hilbert space yet does not possess G. Yu's 'property A'.
A useful tool for coarsely embedding a graph \(X\) into Hilbert space is the wall metric, \(d_w\), which differs from the standard graph metric \(d\). We will discuss an example of a metric space which coarsely embeds into Hilbert space and does not have property A and what we can say about \((X,d)\) based on results obtained from studying \((X,d_w)\).
In this talk we will not assume prior familiarity with property A, coarse embeddings, and the wall metric.
