Abstract: We prove the Tate conjecture for a concrete family of elliptic surfaces. This is a joint work with Lian Duan.
In this talk, I will begin with an general introduction to the Tate conjecture and the Fontaine-Mazur conjecture. Then I will focus on the Tate conjecture for a family of elliptic surfaces introduced by Geemen and Top, and try to explain the motivation and elementary idea behind the proof.
