Seminar: Thompson Groups

Seminar: Thompson Groups

Semester
SoSe 2022

Lecturer
Clara Löh

Type of course (Veranstaltungsart)
Seminar

German title
Seminar: Thompson-Gruppen

Contents
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 long-standing open
problem asks whether F is a so-called 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.

Recommended previous knowledge
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

Time/Date
Wed 8:30--10:00

Location
M 102/online

Course homepage
http://www.mathematik.uni-regensburg.de/loeh/teaching/thompsonsem_ss22/
(Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern)

Registration

Organisational meeting/distribution of topics: Thu, Feb 10, 13:00 online (zoom access data will
be available through GRIPS)
Registration for course work/examination/ECTS: FlexNow

Course work (Studienleistungen)

Presentation: Giving a seminar talk of roughly 90 minutes

Examination (Prüfungsleistungen)

Detailed written report of the seminar talk

Modules
BSem, MV, MSem, LA-GySem

ECTS
BSem und MSem: 4,5 LP bei Studienbeginn ab WS 15/16, 6 LP bei Studienbeginn vor WS 15/16. LA-GySem:
6 LP. MV und Nebenfach: 4,5 LP bei Studienbeginn ab WS 15/16, 6 LP bei Studienbeginn vor WS 15/16
+++ weitere Details: siehe Modulkatalog +++