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

• 主讲人：Fangzhou Jin (Tongji University)
• 举办方： Beijing-Saint Petersburg Mathematics Colloquium
• 时间： 2022-09-22 20:00 - 2022-09-22 21:00
• 地点： online

Recording: https://disk.pku.edu.cn:443/link/2C3167F7FADFEB83417F8A3A80B9527E
Valid Until: 2026-10-31 23:59

 

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.

 

Bio: Fangzhou Jin is an assistant professor at Tongji University. He obtained his PhD at Ecole Normale Supérieure de Lyon in 2016 under the supervision of Frédéric Déglise. His work is related to foundational aspects of motivic homotopy theory, a theory introduced by Morel and Voevodsky which studies cohomology theories on algebraic varieties using geometric as well as categorical tools by importing ideas from algebraic topology.