Tilting theory for extended module categories
数学专题报告
报告题目(Title)：Tilting theory for extended module categories
报告人(Speaker)：周宇 教授
地点(Place)：腾讯会议：806-361-412
时间(Time)：2025年1月15日 11:00-11:50
邀请人(Inviter)：覃帆
报告摘要
Let A be a finite-dimensional algebra and m be a positive integer. The m-extended module category m-mod A of A is defined as the full subcategory of the bounded derived category D^b(mod A) of finitely generated A-modules consisting of complexes whose cohomologies are concentrated in degrees between -(m-1) and 0. We show the existence of Auslander-Reiten (ex)triangles in m-mod A and bijections between tau-tilting pairs in m-mod A, (m+1)-term silting complexes, and functorially finite s-torsion pairs in m-mod A.
