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Speaker:
Ben Moonen
Affiliation:
Nijmegen
Date:
Thu, 21/12/2017 - 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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