To understand several topics in Geometric Group Theory. This course is a continuation of MTH.B503.
Understand several topics on Geometric Group Theory.
Geometric Group Theory, Hyperbolic Groups, Geometric Structures, Hyperbolic Geometry
|✔ Specialist skills||Intercultural skills||Communication skills||Critical thinking skills||Practical and/or problem-solving skills|
standard lecture course
|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.|
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.
Clara Loeh, Geometric Group Theory: An Introduction (Universitext)
Basic knowledge of groups and manifolds would help to understand this lecture.
The lecture plan might be changed.