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- Liberal arts and basic science courses
- Academic unit or major
- Graduate major in Mathematics
- Instructor(s)
- -
- Class Format
- Lecture
- Media-enhanced courses
- Day/Period(Room No.)
- Intensive ()
- Group
- -
- Course number
- MTH.E444
- Credits
- 1
- Academic year
- 2020
- Offered quarter
- 3Q
- Syllabus updated
- 2020/3/24
- Lecture notes updated
- -
- Language used
- English
- Access Index
-
Course description and aims
Understand recent topics on the hyperbolic geometries on surfaces.
Student learning outcomes
To understand hyperbolic geometry on surfaces. The main focus will be on
Markoff numbers, geometry of small surfaces and dynamics.
Keywords
Markoff numbers, geometry of small surfaces and dynamics.
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. This lecture is given in English.
Course schedule/Required learning
| Course schedule | Required learning | |
|---|---|---|
| Class 1 | Markoff numbers, the character variety, hyperbolic geometry | Details will be provided during each class session |
| Class 2 | Counting simple geodesics | |
| Class 3 | Non orientable surfaces | |
| Class 4 | The 3 holed sphere and related orbifolds | |
| Class 5 | Identities - Bowditch, Tan, Hines. |
Textbook(s)
Details will be provided during each class session
Reference books, course materials, etc.
Details will be provided during each class session
Assessment criteria and methods
Assignments
Related courses
- MTH.B301 ： Geometry I
- MTH.B302 ： Geometry II
Prerequisites (i.e., required knowledge, skills, courses, etc.)
No prerequisites.
