应兰州大学数学与统计学院邀请，中国科学技术大学吴燚林博士将于2025年7月9-13日访问我校并作学术报告，欢迎全校师生参加。

报告题目：Additive categorification of cluster algebra with coefficients

报告时间：2025年7月12日下午16:00

报告地点：理工楼401

报告摘要：Cluster categories were introduced in 2006 by Buan-Marsh-Reineke-Reiten-Todorov in order to categorify acyclic cluster algebras without coefficients. Their construction was generalized by Amiot and Plamondon to arbitrary cluster algebras associated with quivers (2009 and 2011). A higher dimensional generalization is due to Guo (2011). Cluster algebras with coefficients are important since they appear in nature as coordinate algebras of varieties like Grassmannians, double Bruhat cells, unipotent cells,.... The work of Geiss-Leclerc-Schroer often yields Frobenius exact categories which allow to categorify such cluster algebras.

In this talk, we will present the construction of the Higgs category (generalizing GLS'Frobenius categories E) and of the relative cluster category (generalizing the derived category of E) by using Ginzburg functor which carries a canonical relative left 3-Calabi-Yau structure.

报告人简介

吴燚林，博士毕业于Université Paris Cité和华东师范大学，目前主要从事丛代数的additive范畴化的研究，代表性成果发表在Adv. Math.，Math. Z.等期刊上。

数学与统计学院

甘肃应用数学中心

萃英学院

2025年7月11日