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Abstract
In this class we will cover some of the tools, techniques, and groups central to the study of geometric group theory. After introducing the basic concepts (groups and metric spaces), we will branch out and sample different topics in geometric group theory based on the interest of the participants.
Objective
To learn and understand a wide range of tools and groups central to the field of geometric group theory.
Content
Possible topics include: properties of free groups and groups acting on trees, large scale geometric invariants (Dehn functions, hyperbolicity, ends of groups, asymptotic dimension, growth of groups), and examples of notable and interesting groups (Coxeter groups, right-angled Artin groups, lamplighter groups, Thompson's group, mapping class groups, and braid groups).
Resources
Literature
The topics will be chosen from "Office Hours with a Geometric Group Theorist" edited by Matt Clay and Dan Margalit, as well as "Topics in Geometric Group Theory" by Pierre de la Harpe.
General Information
- Language
- English
- Levels
- BSC , MSC
Examination
- Type
- ungraded semester performance
Registration & Places
- Signup Start
- 03.08.2026
- Signup End
- 09.09.2026
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| seminar |
Topics in Geometric Group Theory
Number of participants limited to 12.
|
No time listed | 2 h weekly |