Corentin Le Coz (Paris Sud): Separation and isoperimetric profiles

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 to a new notion of local separation, which I will introduce at the end of the talk. I will give all the definitions and we will see many examples.