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- Liberal arts and basic science courses
- Academic unit or major
- Graduate major in Mathematics
- Instructor(s)
- Masai Hidetoshi
- Class Format
- Lecture (ZOOM)
- Media-enhanced courses
- Day/Period(Room No.)
- Fri5-6(Zoom)
- Group
- -
- Course number
- MTH.B504
- Credits
- 1
- Academic year
- 2020
- Offered quarter
- 4Q
- Syllabus updated
- 2020/9/18
- Lecture notes updated
- -
- Language used
- English
- Access Index
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Course description and aims
To understand several topics in Geometric Group Theory. This course is a continuation of MTH.B503.
Student learning outcomes
Understand several topics on Geometric Group Theory.
Keywords
Geometric Group Theory, Hyperbolic Groups, Geometric Structures, Hyperbolic Geometry
Competencies that will be developed
| ✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
Class flow
standard lecture course
Course schedule/Required learning
| Course schedule | Required learning | |
|---|---|---|
| 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. |
Out-of-Class Study Time (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)
Assessment criteria and methods
Assignments
Related courses
- MTH.B503 ： Advanced topics in Geometry G
Prerequisites (i.e., required knowledge, skills, courses, etc.)
No prerequisites.
Basic knowledge of groups and manifolds would help to understand this lecture.
Other
The lecture plan might be changed.
