Random Groups
Description: If you are interested in infinite group theory, probabilistic methods or random walks, join us for our reading group on random groups!
The topic of random groups is motivated by a fundamental question: what are the properties of a ‘typical’ group? We’ll use probability distributions to build these typical groups and explore how this relates to their characteristics.
Schedule: Thursdays 15:00 – 17:00, CMT.01 (Heriot-Watt) & Online
22/01: Introductory session
29/01: Rafaela Ioannou: Motivations and Gromov’s Density Model
Notes: Random Groups Talk 1
05/02: Critical Densities for Various Properties
12/02: Few Relators Model and 1-Relator Groups
19/02: Typical Elements in a Group
26/02: Stalling’s Graphs and Random Subgroups I
05/03: Stalling’s Graphs and Random Subgroups II
12/03: Non-Uniform Distributions
19/03: Open Problems and Perspectives
26/03: Possible Bonus Lecture – Proof of Density ½ Theorem
Resources:
[1] Bassino et. al, Random Presentations and Random Subgroups: A Survey (2020)
[2] Ollivier, An Invitation to Random Groups (2005)