A tale of two filtrations
科研大讨论系列报告
报告题目(Title):A tale of two filtrations
报告人(Speaker):田志宇教授 (北京大学)
地点(Place):后主楼1124
时间(Time):2023年10月13日上午10:00-11:00
邀请人(Inviter):汪志威
报告摘要
Coniveau filtration was first defined by Grothendieck to understand the relationship between cohomology of algebraic varieties and algebraic cycles. There is another a priori different filtration, the strong coniveau filtration. For cohomology with rational coefficient, these two coincide with each other by the theory of weights. In recent years, there has been some new interests in understanding their relation for cohomology with integer coefficient, with applications in both geometric and arithmetic questions. I will survey some recent progress on this problem.