报告题目 (Title)：On graded Nakajima tensor varieties（分次Nakajima张量簇）
报告人 (Speaker)：Bernhard Keller / 孔博恩（Universite Paris Cite / 巴黎西岱大学）
报告时间 (Time)：2025年12月14日（周日）10:30-11:30
报告地点 (Place)：校本部F309
邀请人(Inviter)：高楠
主办部门：理学院数学系
报告摘要：At the beginning of the 2000s, Nakajima used graded Nakajima quiver varieties to give a geometric construction of certain representations of quantum affine algebras. He also introduced graded Nakajima tensor varieties to describe tensor products of such representations. In 2016, in joint work with Sarah Scherotzke, we used Gorenstein homological methods to show how the graded Nakajima quiver varieties of a given ADE type Delta parametrize the objects in the derived category of any quiver Q with underlying graph Delta. In his ongoing Ph. D. thesis, Ricardo Canesin proves an analogous link between graded Nakajima tensor varieties and the derived category of the category of exact sequences of representations of Q. After recalling key results obtained with Sarah Scherotzke, we will report on his work.
