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

主讲人 Speaker:Jin Fangzhou (Tongji University)
时间 Time:15:00-16:00, Nov.16,2022
地点 Venue:Tencent Meeting ID: 506-248-903 Password: 1611
课程日期:2022-11-16

Time: 15:00-16:00, Nov.16,2022

Venue: Tencent Meeting ID: 506-248-903 Password: 1611 

Speaker: Jin Fangzhou (Tongji University)

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


Abstract: We show that the zero-dimensional part of the pro-Chern-Schwarz-MacPherson class defined by Aluffi is equal to the pro-characteristic class in limit Borel-Moore motivic homology. A similar construction also produces a quadratic refinement of this class in the limit Borel-Moore Milnor-Witt homology. This is a joint work with Peng Sun and Enlin Yang.