学术报告(Fumiaki Suzuki 2025.12.5)

The integral Tate Conjecture over finite fields and two coniveau filtrations

发布人:姚璐
主题
The integral Tate Conjecture over finite fields and two coniveau filtrations
活动时间
-
活动地址
新数学楼415
主讲人
Fumiaki Suzuki 助理教授(北京大学)
主持人
宋雷 教授

摘要:We construct a new type of counterexamples to the integral Tate conjecture over finite fields, where a geometric cycle map is surjective but an arithmetic cycle map is not. We also discuss the relation of this problem with two coniveau filtrations, and show some positive results toward a conjecture of Colliot-Thélène and Kahn. This is joint work with Federico Scavia.