Motivic cluster multiplication formulas for 2-Calabi-Yau categories
数学专题报告
报告题目(Title)：Motivic cluster multiplication formulas for 2-Calabi-Yau categories
报告人(Speaker)：徐帆（清华大学）
地点(Place)：后主楼1223
时间(Time)：2023年12月21日 15:00-15:50
邀请人(Inviter)：肖杰
报告摘要
In this talk, we introduce a notion of motivic cluster characters via virtual Poincaré polynomials, and prove a motivic and refined version of multiplication formulas obtained by Chen-Xiao-Xu for weighted quantum cluster characters associated to a 2-Calabi-Yau triangulated category C with a cluster tilting object. It can be viewed as the quantum analogue of a refined multiplication formula for cluster characters recently given by Keller-Plamondon-Qin . When C is the cluster category of an acyclic quiver, our certain refined multiplication formula is a motivic version of the multiplication formula for quantum cluster characters given by Chen-Ding-Zhang. This talk is based on joint work with Jie Xiao and Fang Yang.
