### 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] |