Metric-Functional Boundary of Cayley Graphs
Offered By: Erwin Schrödinger International Institute for Mathematics and Physics (ESI) via YouTube
Course Description
Overview
Explore the horofunction boundary of metric spaces in this 37-minute lecture from the Workshop on "Geometric and Asymptotic Group Theory with Applications 2023 - Groups and Dynamics" at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the study of "small" finitely generated groups and their Cayley graph structures, with a focus on the Gap Conjecture by Grigorchuk. Learn about the characterization of finitely generated groups with linear growth and their relation to finite Busemann boundaries. Gain insights from joint works with L. Ron-George and M. Tointon, with all concepts thoroughly explained for audiences without prior knowledge.
Syllabus
Ariel Yadin - Metric-functional boundary of Cayley graphs
Taught by
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
Related Courses
Divergence in Coxeter GroupsIMSA via YouTube Finitely Presented Simple Groups of Homeomorphisms of the Reals
Erwin Schrödinger International Institute for Mathematics and Physics (ESI) via YouTube Actions on the Real Line of Some Finitely Generated Groups
Centre International de Rencontres Mathématiques via YouTube A Quantitative Neumann Lemma for Finitely Generated Groups - Measured Group Theory
Centre de recherches mathématiques - CRM via YouTube Finitely Generated Normal Subgroups of RAAGs
Centre de recherches mathématiques - CRM via YouTube