题目：Frobenius-Perron theory of representation-directed algebras
摘要：The spectral radius (also called the Frobenius-Perron dimension) of a matrix is an elementary and extremely useful invariant in linear algebra, combinatorics, topology, probability and statistics. The Frobenius-Perron dimension of an endofunctor of a triangulated category is a useful invariant in several different topics such as embedding problem, Tame and wild dichotomy, complexity of categories. In this talk, I will introduce the Frobenius-Perron dimension of of an endofunctor of a k-linear category, calculate the Frobenius-Perron dimension of representation directed algebras and quotient algebras of canonical algebras of type ADE. The talk is based on joint works with Jiayi Chen.
时间：2021年5月11日（星期二）上午十点
地点：X9501
报告人简介：陈健敏，厦门大学数学科学学院教授，对于有限维代数上的模范畴及导出范畴、加权射影曲线（面）上的（拟）凝聚层范畴、斜群代数、群作用及等变范畴、倾斜理论、Frobenius-Perron理论等有比较深入的研究，主持国家自然科学基金面上项目两项。