Topological groups

MATH-338 / 5 credits

Teacher: Monod Nicolas

Language: English

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
  • Lecture: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Type: optional

Reference week

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