题目: Relative cluster categories and Higgs categories

报告人: 吴燚林（中国科学技术大学，博士后)

腾讯会议：6385791642

时间：2022年9月5日09:00-12:00

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-Schröer 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). The Higgs category is no longer exact but still extriangulated in the sense of Nakaoka-Palu (2019).

题目: Introduction to A-infinity algebras

报告人: 吴燚林（中国科学技术大学，博士后)

腾讯会议：6385791642

时间：2022年9月13日09:00-12:00

摘要: In this talk, we will give a brief introduction on A-infinity algebras (more general, A-infinity categories), their modules and their derived categories.

报告人简介: 吴燚林博士于2022年毕业于巴黎西岱大学（原巴黎七大）、华东师范大学，现为中国科学技术大学博士后。现阶段主要从事丛代数范畴化的研究。