第3回

日時

2019年5月27日(月) 14:35~17:00

場所

大阪府立大学 なかもずキャンパス A13-323（講義室B）

講演者

埴原紀宏氏(名古屋大学)

タイトル

Cohen-Macaulay modules over Yoneda algebras

アブストラクト

For a ring $\Lambda$ and a $\Lambda$-module $M$, the abelian group $\Gamma=\bigoplus_{i \geq 0}Ext^i_\Lambda(M,M)$ with the Yoneda product is called the Yoneda algebra, which have widely been studied in ring theory and representation theory. We investigate the properties of Yoneda algebras $\Gamma$ in the following setup: $\Lambda$ is a finite dimensional algebra of finite representation type, and $M$ is an additive generator for the module category. We will give some fundamental results on such $\Gamma$, such as coherence, Gorenstein property, and a description of the stable category of Cohen-Macaulay $\Gamma$-modules.