题目：The limit and boundary characteristic classes in Borel-Moore motivic homology
报告人：孙鹏（湘潭大学）
时间：2024年6月27日（星期四），16:00-17：00
地点：正心楼716
摘要：We define the limit and boundary characteristic classes in Borel-Moore motivic homology through a category-theoretic approach via motivic homotopy theory. We show that the limit characteristic class is equal to the zero-dimensional part of the pro-Chern-Schwartz-MacPherson class defined by Aluffi. A similar construction produces a quadratic refinement of this class in the limit Borel-Moore Milnor-Witt homology. We also compare the boundary characteristic class with Kato-Saito's Swan class. This is a joint work with Fangzhou Jin and Enlin Yang.
