Catégories triangulées additivement finies, d'après Riedtmann .../Additively finite triangulated categories, after Riedtmann ...

Bernhard Keller (Université de Paris)

08-Jul-2020, 14:00-15:00 (4 years ago)

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

( slides | video )


Sherbrooke algebra seminar

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
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