▶Japanese
Post to SNS
- Home
- > School of Science
- > Graduate major in Mathematics
- > Advanced topics in Geometry C1
- School of Science
-
School of Engineering
- Undergraduate major in Mechanical Engineering
- Undergraduate major in Systems and Control Engineering
- Undergraduate major in Electrical and Electronic Engineering
- Undergraduate major in Information and Communications Engineering
- Undergraduate major in Industrial Engineering and Economics
- Common courses
- School of Materials and Chemical Technology
- School of Computing
- School of Life Science and Technology
- School of Environment and Society
- 工学院，物質理工学院，環境・社会理工学院共通科目
- Liberal arts and basic science courses
- First-Year Courses
- School of Science
- School of Engineering
- School of Materials and Chemical Technology
- School of Computing
- School of Life Science and Technology
-
School of Environment and Society
- Department of Architecture and Building Engineering
- Department of Civil and Environmental Engineering
- Department of Transdisciplinary Science and Engineering
- Department of Social and Human Sciences
- Department of Innovation Science
- Graduate major in Technology and Innovation Management
- Common courses
- Liberal arts and basic science courses
- Academic unit or major
- Graduate major in Mathematics
- Instructor(s)
- Masai Hidetoshi
- Class Format
- Lecture
- Media-enhanced courses
- Day/Period(Room No.)
- Mon3-4(ハイフレックス, 本館H213セミナー室, Main Building, H213 Seminar Room)
- Group
- -
- Course number
- MTH.B407
- Credits
- 1
- Academic year
- 2021
- Offered quarter
- 3Q
- Syllabus updated
- 2021/3/19
- Lecture notes updated
- -
- Language used
- English
- Access Index
-
Course description and aims
The aim of this lecture course is to familiarize students with the basics of surface theory, especially with the theory of Teichmuller. This course will be succeeded by [ZUA.B334 : Advanced courses in Geometry D].
Student learning outcomes
Understand the Teichmuller space from two viewpoints: hyperbolic structures and complex structures on the surface.
Keywords
Teichmuller space. Hyperbolic structures. Complex structures.
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 | Basics of hyperbolic and complex structures on surfaces(Definitions) | Details will be provided in class. |
| Class 2 | Basics of hyperbolic and complex structures on surfaces(Properties) | Details will be provided in class. |
| Class 3 | Definition of the Teichmuller space | Details will be provided in class. |
| Class 4 | Fenchel-Nielsen coordinates | Details will be provided in class. |
| Class 5 | Quasi-conformal maps | Details will be provided in class. |
| Class 6 | Holomorphic quadratic differentials | Details will be provided in class . |
| Class 7 | Teichmuller distance | Details will be provided in class. |
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 required
Reference books, course materials, etc.
「Teichmüller Theory and Quadratic Differentials」Frederick P. Gardiner
Assessment criteria and methods
Exams and reports. Details will be provided in class.
Related courses
- MTH.B301 ： Geometry I
- MTH.B302 ： Geometry II
- ZUA.B301 ： Geometry I
- MTH.B341 ： Topology
- MTH.B408 ： Advanced topics in Geometry D1
Prerequisites (i.e., required knowledge, skills, courses, etc.)
Students are expected to have passed [Geometry I], [Geometry II] and [Topology].
