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Algebraic Geometry Seminar
Seminar information archive ～12/01｜Next seminar｜Future seminars 12/02～
| Date, time & place | Friday 13:30 - 15:00 118Room #118 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | GONGYO Yoshinori, KAWAKAMI Tatsuro, ENOKIZONO Makoto |
2025/11/28
13:30-15:00 Room #118 (Graduate School of Math. Sci. Bldg.)
Fumiaki Suzuki (Peking University)
The integral Tate conjecture over finite fields and two coniveau filtrations
Fumiaki Suzuki (Peking University)
The integral Tate conjecture over finite fields and two coniveau filtrations
[ Abstract ]
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.
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.
