2020 Faculty Courses School of Science Department of Mathematics Graduate major in Mathematics
Advanced topics in Geometry H
- Academic unit or major
- Graduate major in Mathematics
- Instructor(s)
- Hidetoshi Masai
- Class Format
- Lecture (Zoom)
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - 5-6 Fri (Zoom)
- Class
- -
- Course Code
- MTH.B504
- Number of credits
- 100
- Course offered
- 2020
- Offered quarter
- 4Q
- Syllabus updated
- Jul 10, 2025
- Language
- English
Syllabus
Course overview and goals
To understand several topics in Geometric Group Theory. This course is a continuation of MTH.B503.
Course description and aims
Understand several topics on Geometric Group Theory.
Keywords
Geometric Group Theory, Hyperbolic Groups, Geometric Structures, Hyperbolic Geometry
Competencies
- Specialist skills
- Intercultural skills
- Communication skills
- Critical thinking skills
- Practical and/or problem-solving skills
Class flow
standard lecture course
Course schedule/Objectives
| Course schedule | Objectives | |
|---|---|---|
| Class 1 | Gromov Hyperbolic Spaces | Details will be provided during each class session |
| Class 2 | Boundary of Gromov Hyperbolic Spaces | |
| Class 3 | Several compactifications | |
| Class 4 | Several compactifications２ | |
| Class 5 | Groups acting on Trees | |
| Class 6 | Mapping Class Group | |
| Class 7 | Random Walks on Hyperbolic Groups | |
| Class 8 | Random walks on Mapping Class Groups. |
Study advice (preparation and review)
To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.
Textbook(s)
none
Reference books, course materials, etc.
Clara Loeh, Geometric Group Theory: An Introduction (Universitext)
Evaluation methods and criteria
Assignments
Related courses
- MTH.B503 ： Advanced topics in Geometry G
Prerequisites
No prerequisites.
Basic knowledge of groups and manifolds would help to understand this lecture.
Other
The lecture plan might be changed.