University of Connecticut

Events Calendar

Analysis And Probability Seminar
Poincaré Profiles On Graphs And Groups, And A Coarse Geometric Dichotomy
John Mackay (University Of Bristol)

Friday, February 26, 2021
1:30pm – 2:30pm

Storrs Campus
Online (contact Sean)

Abstract: The separation profile of an infinite graph was introduced by Benjamini-Schramm-Timar. It is a function which measures how well-connected the graph is by how hard it is to cut finite subgraphs into small pieces. In earlier joint work with David Hume and Romain Tessera, we introduced Poincaré profiles, generalising this concept by using p-Poincaré inequalities to measure the connected-ness of subgraphs. I will discuss this family of invariants, their applications to coarse embedding problems, and recent work finding the profiles of all connected unimodular Lie groups, where a dichotomy is exhibited.

Joint with Hume and Tessera.

Contact:

Sean Li

Analysis and Probability Seminar (primary), UConn Master Calendar

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