Topological groups
Summary
We study topological groups. Particular attention is devoted to compact and locally compact groups.
Content
Topological groups, subgroups and quotients. Examples, connected, totally disconnected, profinite. Haar measure. Some fundamental theorems about locally compact groups.
Learning Prerequisites
Required courses
MATH-220, Metric and topological spaces
MATH-211, Théorie des groupes
Learning Outcomes
By the end of the course, the student must be able to:
- The student will develop a deep understanding of the fundamental concepts related to topological groups.
Teaching methods
Ex catherdra lecture and exercise sessions.
Expected student activities
Following the lecture.
Working over the material of the course independently.
Attending the exercise sessions.
Attempting to solve all exercises and writing up the result of these attempts.
Assessment methods
Written exam.
Supervision
| Office hours | No |
| Assistants | Yes |
| Forum | No |
In the programs
- Semester: Spring
- Exam form: Written (summer session)
- Subject examined: Topological groups
- Courses: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: optional