The Tate conjecture and semisimplicity of Galois representation
Ben Moonen (Nijmegen) - SAG
What |
|
---|---|
When |
Dec 21, 2017 from 10:30 pm to 11:30 pm |
Where | Bonn, Hörsaal MPI, Vivatsgasse 7 |
Contact Name | Sachinidis |
Add event to calendar |
vCal iCal |
Consider smooth projective varieties over finitely generated fields of characteristic 0. The Tate Conjecture is often stated as having two parts: one assertion (S) about semisimplicity of Galois representations on the cohomology, and an assertion (T) saying that all Tate classes are algebraic. In my talk I will explain that in fact (T) implies (S). This uses some basic properties about motives. My talk is aimed at non-experts, and I will spend a large part of it on an introduction to the underlying ideas.