Representation Theory
Welcome to the Bielefeld Representation Theory website!
Representation theory has a long and colourful history, which began with the study of structures like permutation groups and matrix algebras. One of the fundamental objectives in this area is to classify the representations of a given finite dimensional algebra. This particular subject took off in the 1970s, when the language of quivers and methods from homological algebra dramatically changed the way we view representation theoretic problems altogether.
Today, structures like Auslander-Reiten quivers, representation varieties, triangulated categories and Hochschild cohomology comprise only a handful of the various tools one can use to study representations of finite dimensional algebras. There are also beautiful connections to Lie theory, quantum groups, singularity theory and cluster algebras.
News
Information on previous Meetings and Activities can be found on the respective pages. Previous news items on other subjects can be found in the News Archive.
- A Workshop on bricks and endofinite representations will be held at Bielefeld University from 03 March to 05 March 2025.
- A Colloquium in Honour of Lutz Hille on the occasion of his 60th birthday will be held at Bielefeld University on 15 November 2024.
- The workshop "Betti numbers in algebra and homotopy theory" was held at Bielefed University from 23 September to 27 September 2024.
- The workshop "Women in Representation Theory: quivers, mutations, and beyond" was held at Bielefed University from 04 September to 06 September 2024.