Separation and isoperimetric profiles
Analysis and Geometry Seminar
4th June 2020, 3:15 pm – 4:15 pm
Online, (contact organisers for details)
The separation profile was defined for graphs by Benjamini, Schramm and Timar in 2011. It is a monotone coarse-geometric invariant, which means that it is able to give obstruction to the existence of a coarse embedding between graphs or spaces. In a joint work with Antoine Gournay, I have studied links between separation and isoperimetric profiles. I will present our results, with applications. This will lead us a new notion of local separation, that I will introduce at the end of the talk. I will give all the definitions and we will see many examples.