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The Tate conjecture for a concrete family of elliptic surfaces

2020-05-27 09:30-10:30 Zoom ID = 643 5504 3567 , PIN = 904742

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.