Space of cycles and coniveau filtration

主讲人 Speaker:Tian Zhiyu (Peking University)
时间 Time:Mon., 10:00-11:30 am, Mar. 27, 2023
地点 Venue:Jingzhai 304


Coniveau filtration was first defined by Grothendieck to understand the "support" of a cohomology class. For rational coefficient, one can always take the support to be smooth. But for integral or torsion coefficient, intricate questions arise. In this talk, I plan to talk about our recent understandings of the situation through the study of the space of cycles and some arithmetic consequences.