GTM seminar

Speaker: Norihiro Hanihara (Kavli IPMU)
Title: Representation theory in triangulated categories
Date (JST): Tue, May 17, 2022, 15:30 - 17:00
Place: Zoom
Related File: 2805.pdf
Abstract: Representation theory of algebras aims at understanding various categories attached to a given ring. The rings we are interested in are, for example, finite dimensional algebras over a field and commutative Cohen-Macaulay rings etc. In this talk, starting from some backgrounds, I would like to talk about representation theory of these rings, especially in triangulated categories such as derived categories, singularity categories, cluster categories, and their enhancements. I will present some of my (previous) results which can be seen as classifying ``most fundamental'' ones among these triangulated categories.