题目：Grassmannian braiding categorified

摘要：Chris Fraser has discovered an action of the extended affine braid group on d strands on the Grassmannian cluster algebra of k-subspaces in n-space, where d is the least common divisor of k and n. We lift this action to the corresponding cluster category first constructed by Geiss-Leclerc-Schroeer in 2008. For this, we use Jensen-King-Su's description of this category as a stable category of Cohen-Macaulay modules, or equivalently as a singularity category in the sense of Buchweitz/Orlov. This is a report on ongoing joint work with Chris Fraser.

报告人简介：Bernhard Keller是著名代数学家，在微分分次理论、丛理论以及Hochschild同调理论中均做出了奠基性的学术成果。Keller教授是挪威皇家科学通讯院士、比利时安特卫普大学荣誉博士、法国科学院Sophie Germain奖得主、2006年马德里国际数学家大会ICM邀请报告人以及美国数学会Fellow。

时间：2021年1月22日 3:00-4:00

地点：数学系西大楼108

邀请人：丁南庆 老师