主講人：唐孝敏 黑龍江大學教授
時間：2023年6月2日15：00
地點：三號樓332報告廳
舉辦單位：數(shù)理學院
主講人介紹：唐孝敏，黑龍江大學教授，博士生導師，數(shù)學學院院長，黑龍江省數(shù)學會副理事長，黑龍江大學大型科學計算實驗室主任。主要研究李理論及相關方向，參加和主持國家自然科學基金、黑龍江省自然科學基金、黑龍江省教育廳項目等各類科研項目10余項，發(fā)表被SCI收錄的學術論文40余篇。
內容介紹：Cluster algebras were introduced by S. Fomin and A. Zelevinsky in connection with dual canonical bases. Let U be a cluster algebra of type Dn. For each cluster C of U, we define combinatorially an oriented quiver Q(C) . We also associate to C an abelian category F(C) such that the indecomposable objects of F(C) are in natural correspondence with the cluster variables of U which are not in C. We show that the denominators of the cluster variables as Laurent polynomial in C are described by indecomposables of the category F(C) of representations of Q(C) with some relations R(C) . We give an algebraic realization and a geometric realization of F(C). This generalized the results of cluster algebra of simply-laced type from An to Dn.