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Speaker:

Ben Moonen
Affiliation:

Nijmegen
Date:

Thu, 2017-12-21 10:30 - 12:00
Location:

MPIM Lecture Hall
Parent event:

Seminar Algebraic Geometry (SAG) 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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