KNU Mathematics Intensitve Lecture Series

Introduction to Geometric Group Theory

given by

Dr. Sangrok Oh (University of the Basque Country, Spain)

February 26–29, 2024

Abstract

Geometric group theory is the study of groups through their (nice) actions on suitably chosen metric spaces. Throughout this lecture series, I will present key theorems and examples that provide insight into how the geometric features of metric spaces characterize the algebraic properties of groups. If time permits, I will introduce some results and problems related to right-angled Artin groups that are significant in the field of geometric group theory.

Lectures

February 26(Mon)

Metrics on Groups, 10:00 – 11:30
Quasi-isometry, 14:00 – 15:30
Quasi-isometric invariant, 16:00 – 17:30

February 27(Tue)

Free group - Stalling folding, 10:00 – 11:30
Free group - actions on trees, 14:00 – 15:30
Gromov-Hyperbolicity, 16:00 – 17:30

February 28(Wed)

CAT(0) prism complexes, 14:00 – 15:30
Embedding into RAAGs, 16:00 – 17:30

February 29(Thu)

Embedding of RAAGs, 10:00 – 11:30
Quasi-isometric classficiation of RAAGs, 14:00 – 15:30

Venue

#102, College of Natural Sciences, Kyungpook National University, Daegu, Korea

Participants

Byunghee An (Kyungpook National University)
Hyun Seung Choi (Kyungpook National University)
Sang-Geun Han (KAIST)
Hyuntae Jang (Ajou University)
Joonhyung Kim (Chungnam National University)
Sangrok Oh (University of the Basque Country, Spain)
Jeehoon Park (Kyungpook National University)
Mathieu Vallee (University of Sorbonne, France)
Younghan Yoo (Ajou University)
Semin Yoo (KIAS)
Sung Hyun Yoo (Ajou University)