应兰州大学数学与统计学院邀请，陕西师范大学常文将于2024年7月24日访问兰州大学并做学术报告。

报告题目:Tilting-completion, $\tau_n$-finiteness and n-completeness for gentle algebras

报告时间：2024年7月24日下午3：00-4：00

报告地点：理工楼518

摘要：The purpose of this talk is two-fold. Firstly, we study the self-orthogonal modules over a gentle algebra. In particular, it is proved that any almost tilting module over a gentle algebra is partial tilting. At the same time, for any n > 2 and 0 < m < n-2, there always exists a gentle with rank n and a pre-tilting module over it with rank m which is not partial tilting. Secondly, we give a complete classification of gentle algebras that are $\tau_n$-finite, and n-complete with respect to a tilting module in the sense of Iyama. The tool we use is the geometric model of the module category over a gentle algebra.

报告人简介

常文，陕西师范大学副教授，主要从事代数表示论及其相关课题的研究。

甘肃省高校应用数学与复杂系统省级重点实验室

甘肃应用数学中心

数学与统计学院

萃英学院

2024年7月15日