Catégories triangulées additivement finies, d'après Riedtmann .../Additively finite triangulated categories, after Riedtmann ...
Bernhard Keller (Université de Paris)
Abstract: A Krull-Schmidt category is additively finite if it has only finitely many isoclasses of indecomposable objects. The study of additively finite triangulated categories has a long history which starts with Riedtmann's work in the early 80s. In chronological order, some further contributors are: Auslander-Reiten (1986), Happel (1987), Xiao-Zhu (2005), Buan-Marsh-Reineke-Reiten-Todorov (2006 in combination with K 2005), Amiot (2007), Shiping Liu (2010), Krause (2012), Hanihara (05/2018) and Muro (10/2018). In this survey talk, we will summarize some of the most important results with particular emphasis on Muro's recent work.
combinatoricscategory theoryrings and algebrasrepresentation theory
Audience: researchers in the topic
Series comments: On the week of the seminar, an announcement with the Zoom link is mailed to the seminar mailing list. To receive these e-mails, please sign up by writing to Thomas Brüstle.
Organizers: | Thomas Brüstle*, Juan Carlos Bustamante, Shiping Liu |
*contact for this listing |