2020 Advanced topics in Geometry H

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Academic unit or major
Graduate major in Mathematics
Instructor(s)
Masai Hidetoshi 
Course component(s)
Lecture
Mode of instruction
ZOOM
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

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.

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