$\tau$-tilting graphs and quotients

发布时间:2024-03-20 点击次数:

标题:$\tau$-tilting graphs and quotients

报告时间:2024年3月21日(星期四)14:00-15:00

报告地点:线上腾讯会议(会议ID:428-532-019)

主讲人:耿圣飞

主办单位:数学与统计学院

报告内容简介:

  In this talk, we investigate $\tau$-tilting graphs of algebras and their quotient algebras, and obtain a sufficient condition for the connectivity of $\tau$-tilting graphs to be maintained in quotient algebras. It is worth pointing out that $g$-tame algebras satisfy this condition. As a consequence, we newly obtain a large class of algebras whose $\tau$-tilting graphs are connected, including in particular the quotient algebras of skew-gentle algebras and quasi-tilted algebras of tame type. This is a joint work with Changjian Fu and Pin Liu.

主讲人简介:

  耿圣飞,四川大学数学学院副教授,博士毕业于四川大学,研究方向为代数表示论。主持国家自然科学基金面上项目1项。先后在 《Advances in Mathematics》、《Mathematische Zeitschrift》、 《Journal of Algebra》、《Algebras and Representation Theory》 等高水平学术论文十余篇.