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The Tate conjecture and semisimplicity of Galois representation

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Speaker: 
Ben Moonen
Affiliation: 
Nijmegen
Date: 
Thu, 2017-12-21 10:30 - 12:00
Location: 
MPIM Lecture Hall

Consider smooth projective varieties over finitely generated fields of characteristic 0. The TateConjecture
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.

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