第1回

日時

2023年4月26日(水) 15:00~16:30

場所

Zoom

講演者

榎本悠久氏(大阪公立大学 理学研究科)

タイトル

Maximal self-orthogonal modules and a new generalization of tilting modules

アブストラクト

In this talk, we will introduce the study of self-orthogonal modules using projectively Wakamatsu tilting modules, which are a new generalization of tilting modules to possibly infinite projective dimensions defined by Ext-perpendicular categories. We will prove the equivalence of projectively Wakamatsu tilting, Wakamatsu tilting, maximal self-orthogonal, and full-rank self-orthogonal modules in the representation-finite case. Additionally, we will discuss some open conjectures related to self-orthogonal modules and their connections to homological conjectures.

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