|
Geometric Group Theory Semester
SoSe 2022
Lecturer
Clara Löh
Type of course (Veranstaltungsart)
Vorlesung
German title
Geometrische Gruppentheorie
Contents
Geometric Group Theory connects geometric and algebraic properties of groups.
Typical questions are:
-
Can groups be viewed as geometric objects and how are algebraic properties related to geometric properties?
-
More generally: On which geometric objects can specific groups act in a reasonable way and how are properties of such objects/actions related to algebraic properties?
For instance, freeness of groups can be characterised in terms of actions on trees. This gives a proof of the fact that subgroups of free groups are free.
In this course, we will translate geometric notions such as geodesics, curvature, volume, etc. into the world of group theory. The topics will be adapted to the background and interests of the participants.
Recommended previous knowledge
Linear Algebra I/II; Analysis I/II; experience in Geometry/Topology is helpful, but not necessary.
Time/Date
Tue/Fr 8:30-10
Location
M104/online
Course homepage
http://www.mathematik.uni-regensburg.de/loeh/teaching/ggt_ss22/
(Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern)
Registration- Preliminary registration for the organisation of exercise classes: at the end of the previous
semester via EXA or LSF (see announcement by the department) - Registration for the exercise classes: via GRIPS, during the first week of the semester
- Registration for course work/examination/ECTS: FlexNow
Course work (Studienleistungen)- Successful participation in the exercise classes: 50% of the credits, presentation of solutions
in class (twice)
Examination (Prüfungsleistungen)- Oral exam: Duration: 25 minutes, Date: individual, re-exam: Date: individual
Modules
BV, MV, MGAGeo
ECTS
9
|
|
