Seminar Representation Theory of Groups of Lie Type
WS 2022/23
Subject: Quiver Representations and Quiver Varieties
References: We follow A. Kirillov Jr.'s book "Quiver Representations and Quiver Varieties" as a Leitfaden to the topic. For more detailed exposition of the different topics in the book more precise references are available for each talk.
Please, come by my office to discuss the content of your talk.
Schedule: Mondays 15:30-17:00 in Room (48-436) [KIS].
Programme (preliminary!)
24.10.2022 | Wolfgang Bock | Introduction/talk distribution |
07.11.2022 | Marie Roth | Quivers, representations, path algebra I |
14.11.2022 | Annika Bartelt | Quivers, representations, path algebra II |
21.11.2022 | Marco Albert | Dynkin quivers |
28.11.2022 | Wolfgang Bock | Representation spaces, geometry of orbits |
5.12.2022 | Birte Johansson | Gabriel's theorem, part I |
12.12.2022 | Diego Antonio Robayo Bargans | Gabriel's theorem, part II |
09.01.2023 | Johannes Schmitt | Hall Algebras, I |
16.01.2023 | Gunter Malle | Hall Algebras, II |
23.01.2023 | Cedric Brendel |
Auslander-Reiten Theory, I |
31.01.2023 | Caroline Lassueur |
Auslander-Reiten Theory, II |
06.02.2023 | Caroline Lassueur |
Auslander-Reiten Theory, III |
The programme and the talk titles are preliminary.
References
[1] | I. Assem and F. Coelho Basic representation theory of algebras. [ZB-MATH] |
[2] | I. Assem, D. Simson and A. Skowroński Basic representation theory of algebras. [ZB-MATH] |
[3] | I. Assem (ed.) and S. Trepode (ed.) Homological methods, representation theory, and cluster algebras [ZB-MATH] |
[4] | M. Barot Representations of Quivers [Lecture Notes] |
[5] | H. Derksen and J. Weyman, An Introduction to Quiver Representations [UNI-BIBLIOTHEK] |
[6] | A. Kirillov Jr., Quiver Representations and Quiver Varieties. [UNI-BIBLIOTHEK] |
[7] | R. Schiffler, Quiver Representations [ZB-MATH] |
[8] | O. Schiffmann, Lectures on Hall Algebras [Lecture Notes] |