Seminar  Quivers and Their Representations
In the seminar, we will discuss topics from the book ¨Quiver Representations¨ by Ralf Schiffler. Our main interest is to study the representation theory of finitedimensional algebras. The seminar will consist of two parts: in part 1 we discuss quivers and their representations; in part 2 we discuss algebras and their modules. Along the way, we will also develop some notions from category theory.
The seminar can be attended by both bachelor and master students. The prerequisite is the module Linear Algebra 2. Each participant will give a 60min talk (90min for master students) and additionally hand in a report typed in Latex.
The first meeting for the distribution of talks takes place on Friday 05. July at 9am in the seminar room of Lehrstuhl B (Pontdriesch 1012, room 405).
The seminar is weekly, Wednesday 2:30 pm, and the first talk will be on October 9th.
If you are interested in attending the seminar, please register by writing an email to Kunda Kambaso (kambaso@mathb.rwthaachen.de).
Talks

Lukas Schnelle: Category theory I: Hom functor and it’s effect on exact sequences

Mohammed Bouachir: Definitions: quivers, representations of quivers, morphisms

Jonas Wilms: Subrepresentations and direct sums: first isomorphism theorem

Ibrahim Ahmad: Indecomposable representations: KrullSchmidt theorem

Jan Rodriguez: Simple, projective and injective representations

Phil Pützstück: Projective resolutions

Steve Meiter: Category theory II: Nakayama functor

David Schlang: AuslanderReiten translation

Maximilian Plenge: Extensions and Ext

Ulli Kehrle: AuslanderReiten quivers: type A_n

Lucas Mierau: Path algebra of a quiver

Alena Meyer: Bound quiver algebras

Darius Dramburg: AuslanderReiten theory I: almost split sequences, AuslanderReiten translation

Tom Görtzen:AuslanderReiten theory II: Coxeter transformation, AuslanderReiten formulas and tensor products

Friedrich Rober: Gabriel’s theorem