Vortrag im Oberseminar der AG Algebra, Geometrie und Computeralgebra

Referent: Yann Palu, LAMFA Amiens

Zeit: Donnerstag 08.11.2018, 17:00 Uhr

Ort: Raum 48-436

Abstract: The classification of cluster algebras with finitely many clusters shares some similarities with Gabriel's theorem on the classification of finite dimensional algebras (or quivers) of finite representation type. The link between cluster algebras and representation theory of quivers, first studied by Marsh-Reineke-Zelevinsky, was made more precise by Buan-Marsh-Reineke-Reiten-Todorov (see also Caldero-Chapoton-Schiffler for type A) by using the so-called cluster categories. This talk will be an introduction to the representation theory of quivers and to cluster categories. We will mainly focus on the example of quivers of Dynkin type A.