VVZ API is not affiliated with ETH Zurich. Data might be outdated or incorrect. Please view the official ETHZ Vorlesungsverzeichnis for binding information.

401-5002-23L 2 Credits DR D-MATH

Cohomological Methods in Group Theory

Lecturers & Examiners: Prof. Dr. Brita Nucinkis
Doctoral students of I-Math (UZH) need to send an email to Jessica Bolsinger ( ) with the course number. The email should have the subject „Graduate course registration (ETH)“.
VVZ CR n/a

Last Updated: 2026-02-05 16:22:19

Abstract

Nachdiplom lecture

Content

Group cohomology is an area of mathematics relying on a rich interaction between algebra and topology. In this course we will introduce some important concepts in group cohomology using both algebraic and topological methods. In particular, we shall cover: - Definition of group cohomology (for discrete groups) via free resolutions (necessary background in homological algebra will be introduced). - Topological interpretation, group presentations, the presentation-​2-complex, Eilenberg-​Mac Lane spaces - Cohomological finiteness conditions (for discrete groups): cohomological dimension, groups of type FP, groups of type F, Brown’s criterion - Totally disconnected locally compact (tdlc) groups - Discrete cohomology for tdlc groups - Overview of finiteness conditions for tdlc groups - Classifying spaces for families of subgroups and their finiteness conditions/ Bredon cohomology (for discrete and tdlc groups)

General Information

Language
English
Levels
DR

Examination

Type
ungraded semester performance

Course Components

Type Title Time & Place Hours
lecture Cohomological Methods in Group Theory
If you would like to attend the lecture please register by 24 February. For the registration form see
  • Thu 10:15-12:00 (HG G 43)
24 h semesterly

Offered In