Seminar: Thompson Groups; SS 2022
Prof. Dr. Clara Löh
/
Johannes Witzig
News

The templates for reports/handouts are online (see below);
of course, you can also produce the report/handout by other means.

According to current plans (11.04.2022): This course will
be taught on campus in person. On request, I could turn
this into a hybrid format (with live streaming). Please
note that there will be no recordings of the talks. The
talks are a precious opportunity for live interaction
and I want to keep the atmosphere as casual and
unintimidating as possible.
Please let me know (by email) in case there is a need for
the hybrid option!

The schedule is now available.
Some typos in the references are corrected [10.02.2022]

The organisational meeting for this seminar will be on
Thursday, Feb 10, at 13:00
in zoom; access data is provided on the
GRIPS course page.
Registration: through the GRIPS registration form (before 14.02.).

This seminar complements the Geometric Group Theory course;
attending this course is not necessary to follow the seminar.
Seminar: Thompson Groups
The Thompson groups T, F, and V constitute famous examples in Group
Theory and Geometric Group Theory. For example, T and V are finitely
presented infinite simple groups. A longstanding open problem asks
whether F is a socalled amenable group or not.
In this seminar, we will look at different algebraic and geometric
descriptions/properties of T, F, and V. One main goal is to understand
the recent computation of the bounded cohomology of T. Along the way,
we will master various general principles, such as the Euler class of
circle actions, computations of group cohomology through suitable
actions, amenable actions, and the connection with several invariants
from Group Theory.
Details:
seminar schedule.
Time/Location
Wednesday, 8:3010:00, M 102
On demand, we can switch to a hybrid format (with zoom live streaming);
please contact Clara Löh by email.
Material

Overview of all talks
(and some organisatorial hints).

LaTeX template for handouts:
.tex,
.pdf
(The template is in German, but that hopefully won't cause any problems).

LaTeX template for reports:
.tex,
.pdf
(The template is in German, but that hopefully won't cause any problems).

Hints on writing mathematical texts (in German)

More such
hints

Small print
on slide talks
Prerequisites
basic group theory (as taught in the (Linear) Algebra courses); basic topology (as taught in the
Analysis courses); this seminar complements the course Geometric Group Theory, but can also be
attended independently.
This seminar is suitable for Bachelor/Master students and
Lehramtsstudenten with an interest in groups and geometry, and could be the
starting point for a project under my supervision (e.g., bachelor/master thesis,
Zulassungsarbeit).
Formalities/Credits
See the commented list of courses.
Last Change: April 11, 2022.