τ-tilting finiteness of two-point algebras
发布人: 曹思圆   发布时间: 2019-03-20   浏览次数: 27

报告人:王起 博士 (大阪大学)

报告时间:2019年3月20日(星期三)下午14:30至15:30

地点:闵行校区数学楼402报告厅

邀请人:焦翔宇


摘要: τ-tilting theory was introduced by Adachi, Iyama and Reiten, which completes the classical tilting theory from the viewpoint of mutation. They constructed a class of Λ-modules named (support) τ-tilting modules, where Λ is a finite dimensional basic algebra over an algebraically closed field. We call Λ a τ-tilting finite algebra if there are finitely many isomorphism classes of basic τ-tilting Λ-modules. In this talk, we explain τ-tilting theory by discussing the τ-tilting finiteness of two-point algebras. More precisely, we will show the poset structure on the set of support τ-tilting modules, the bijection between support τ-tilting modules and two-term silting complexes, etc,.