Seminar Representation Theory SS 2024
Topic: Brauer Graph Algebras and Brauer Trees
Schedule: Mondays 15:30-17:00 in Room (48-438) [OLAT].
Start: Monday, the 22nd of April 2024
Please, come by my office to discuss the content of your talk.
Programme (preliminary!)
| 22.04.2024 | Caroline Lassueur | Intro & topic distribution | |
| 13.05.2024 | Berenike Dieterle | Background material: Modules over the group algebra ([4]) | |
| 13.05.2024 | Tim Wingender | Background material: the Green correspondence ([4]) | |
| 22.05.2024 | Felix Kirschke | Background material: Brauer characters and decomposition matrices ([4]) | |
| 22.05.2024 | Andreas Leim | Background material: Blocks of finite groups ([4]) | |
| 27.05.2024 | Martin Wagner | Brauer tree algebras ([5,§5.10.1/.2/.4] and [1,§4.18]) | |
| 03.06.2024 | Dushan Priyasad Honnaththara Acharige | Brauer trees I ([2,§3]) | |
| 10.06.2024 | Annika Bartelt | Brauer trees II ([2,§1.3-1.6,§4.1]) | |
| 17.06.204 | NO SEMINAR | ||
| 24.06.2024 | Caroline Lassueur | Brauer trees III ([2,§4.2-4.3]) | |
| 01.07.2024 | Alexander Mathis |
Brauer trees IV ([2,§4.3-4.4]) | |
| 08.07.2024 | NO SEMINAR |
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| 22.07.2024 | Tristan Pfersdorff |
Brauer trees V ([2,§5+Examples from §6]) | |
| 25.07.2024 | Cedric Brendel |
Brauer trees and condensation methods / Brauer graph algebras: outlook [3,6] |
References
| [1] | D. Benson, Representations and cohomology I [ZB-MATH] |
| [2] | G. Hiss and K. Lux, Brauer trees of sporadic groups [ZB-MATH] |
| [3] | S. Schroll, Brauer graph algebras. A survey on Brauer graph algebras, associated gentle algebras and their connections to cluster theory [arXiv] |
| [4] | P. Webb, A course in finite group theory [Preprint version] |
| [5] | A. Zimmermann, Representation theory. A homological algebra point of view. [ZB-MATH] |
| [6] | G. Cooperman, G. Hiss, K. Lux, J. Müller The Brauer tree of the principal \(19\) -block of the sporadic simple Thompson group. [ZB-MATH] |
