The pro-Chern-Schwarz-MacPherson class in Borel-Moore motivic homology

讲座题目Title：The pro-Chern-Schwarz-MacPherson class in Borel-Moore motivic homology

讲座时间 Datetime: 2023年10月14 日 14:30-17:30

地点 Venue: 珠海校区海琴二号A457

报告人 Speaker: 孙鹏 助理教授

单位 Affiliation: 湖南大学数学学院

主持人Host：张磊 副教授

报告摘要 Abstract:

We define the pro-characteristic class in limit Borel-Moore motivic homology through a category-theoretic approach via motivic homotopy theory. We show that it is equal to the zero-dimensional part of the pro-Chern-Schwarz-MacPherson class defined by Aluffi. A similar construction produces a quadratic refinement of this class in the limit Borel-Moore Milnor-Witt homology. This is a joint work with Fangzhou Jin and Enlin Yang.

报告人简介：

孙鹏，湖南大学数学学院助理教授。孙老师研究方向为代数与算术几何中的上同调理论，重点关注：周群 (Chow groups)，代数 K 理论 (algebraic K-theory)，代数配边 (algebraic cobordism)，非分歧上同调 (umramified cohomology)，动机 (motive)。在Manuscr. Math.、Journal of Number Theory等发表多篇论文。