Amenability

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Amenability

Semester
WiSe 2025 / 26

Lecturer
Clara Löh/F. Hofmann/M. Wasmeier

Type of course (Veranstaltungsart)
Seminar

German title
Amenabilität

Contents
Amenability is a concept for groups, group actions or spaces that revolves around "almost-invariance". This concept can be characterised in many different settings and thus leads to rich interactions between group theory, geometry, dynamical systems, and functional analysis.

For instance, (non-)amenability plays a key role in the Banach--Tarski paradox: One can decompose the 3-ball into finitely many pieces that can be reassambled into two disjoint copies of the 3-ball of the same size.

In this seminar, we will study various descriptions of amenable groups and actions, as well as classial applications of amenability. In particular, we will start with basics on infinite groups.

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

Location
M 101

Course homepage
https://loeh.app.ur.de/teaching/amenablesem_ws2526
(Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern)

Registration

Organisational meeting/distribution of topics: July 16, 12:00, M 201
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, BSem.2

ECTS
4.5