报告时间：2025年12月4日（星期四）10：00-11：00，13：30-14：30

报告地点：翡翠科教楼B座1711室

报  告  人：Bernhard Keller / 孔博恩 教授

工作单位：Universite Paris Cite /巴黎西岱大学

举办单位：新葡的京集团8814vip

报告简介：

At the beginning of the 2000s, Nakajima used gradedNakajima quiver varieties to give a geometric construction ofcertain representations of quantum affine algebras. He alsointroduced graded Nakajima tensor varieties to describetensor products of such representations. In 2016, in jointwork with Sarah Scherotzke, we used Gorenstein homologicalmethods to show how the graded Nakajima quiver varieties of a given ADE type Delta parametrize the objects in the derivedcategory 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 thecategory of exact sequences of representations of Q. In part I,we will report on the joint article with Scherotzke and in part II on Canesin's ongoing extension to gradedNakajima tensor varieties.

报告人简介：

Bernhard Keller，巴黎西岱大学教授、中国科学技术大学客座教授、著名代数学家，在微分分次理论、丛理论以及Hochschild同调理论中均做出奠基性的学术成果。Keller教授是法国科学院“索菲·热尔曼”2014年度大奖得主、法国大学研究院资深成员、挪威皇家科学通讯院士、比利时安特卫普大学荣誉博士、国际数学家大会ICM邀请报告人以及美国数学会会士。任国际知名杂志Advances in Mathematics，Forum of Mathematics Pi以及Journal of the European Mathematical Society编委。