2020 Special Lecture on Science in English (Mathematics 6)

Font size  SML

Register update notification mail Add to favorite lecture list
Academic unit or major
Graduate major in Mathematics
Instructor(s)
Mcshane Gregory 
Course component(s)
Lecture
Day/Period(Room No.)
-
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

Intercultural skills Communication skills Specialist 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.

Page Top