讲座人简介：

兰亦心，现任中国科学院华罗庚中心博士后,于2023年在清华大学取得博士学位。主要研究方向为箭图表示理论、Hall代数和典范基理论。相关研究成果见于Adv. Math.、J. Algebra等杂志。

讲座简介：

题目：：Characteristic cycles of Lusztig's sheaves and the Borel-Moore homology of Nakajima's quiver varieties

摘要：In this talk, I will introduce the characteristic cycles of the canonical bases and relate them with the top Borel-Moore homology groups of Nakajima's quiver varieties. I will also explain how to deduce Nakajima's conjecture on tensor product varieties from our results. It is a joint work with Jiepeng Fang.