标题：Theory of Infinite Maximal Green Sequences: Finest Stability Data, CBHO Sequence and Cluster quiver pattern

报告时间：2026年09月04日（星期五）10:00-11:00

报告地点：人民大街校区数学与统计学院104报告厅

主讲人：李方

主办单位：数学与统计学院

报告内容简介：

In this talk, we introduce maximal green sequences of infinite length in abelian length categories and establish natural bijections among infinite maximal green sequences, finest stability data, and complete backward Hom-orthogonal (briefly, CBHO) sequences of bricks. For cluster quiver patterns (equivalently, cluster algebras) of infinite rank, we define maximal green sequences of infinite length via c-vectors. Moreover, we prove that under suitable conditions, such a maximal green sequence in a cluster quiver pattern of infinite rank can be categorified as a maximal green sequence of torsion classes in the corresponding representation category through specific construction. This framework supplies a connection between infinite maximal green sequences in representation theory and maximal green sequences of cluster algebras of infinite rank. This talk is a join work with Kangping Qu.

主讲人简介：

       李方，浙江大学数学学院教授、博士生导师，高等数学研究所所长，入选教育部“新世纪优秀人才支持计划”、浙江省“151”人才工程等。兼任中国数学会理事、中国高等教育学会理事、教育数学专委会常务副理事长，Electronic Research Archive等刊物编委。主要从事代数学和表示论研究，在丛代数(cluster algebra)领域取得重要成果，建立新研究方法以解决重要问题，包括丛代数的正性猜想、丛代数分母向量的正性猜想、无圈符号斜对称丛代数的完全性猜想等。主持国家自然科学基金项目7项；在Compositio Math., Adv. Math., Trans. AMS, Math. Annalen, Comm. Math. Phys.等刊物发表学术论文100余篇；获浙江省科技进步奖和浙江省高等学校科研成果奖等多项；指导博士生获“钟家庆数学奖”，研究和人才培养成果曾被“浙江基础研究”两次专题报道。