Geometry and Group Theory

Geometric Group Theory WS25

In geometric group theory, we study the interactions between groups and geometry. We view groups themselves as geometric objects or as symmetries of intereresting spaces.

We endow groups with a metric, or consider their actions on suitable metric spaces. The techniques are thus often rich in visual imagery.

Lecturer: Prof. Dr. Petra Schwer
Teaching assistant: Dr. José Pedro Quintanilha
Links: Muesli, HeiCO (lecture), Heico (exercise class)

This lecture is classified as a "Grundmodul".

Weekly schedule

Lecture: Tuesday and Thursday 8:30 -- 10:00, SR 4
Exercise classes: Monday 9:15 -- 10:45, SR 4

Each week on Friday, an exercise sheet will be published, which is to be handed in on the following Friday, and will be discussed in the ensuing exercise class on Monday. In the first week there will be no exercise class, and in the second week we will have in-class exercises.

Evaluation

Evaluation is through an oral examination at the end of the semester. To take the exam, students need to register for the lecture on HeiCO, and to contact Prof. Schwer for scheduling the exam.

Attendance of the lectures and exercise classes, as well as homework submission, are optional. Students are however encouraged to work on the problem sheets and submit their work individually or in groups, and to present their solutions in class. Homework can be submitted by e-mail to jquintanilha [at] mathi [dot] uni-heidelberg [dot] de.

Program

More information will appear soon. To get an idea you may want to consult the course website of the same lecture held in the winter term 2024/25: GGT Winter Semester 2024

Last update on Oct 10, 2025 at 09:22 UTC
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