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Lecture
Étale Motives and the Hodge Conjecture
Description
This lecture provides an overview of étale motivic cohomology and the Hodge conjecture, focusing on the integral version and its equivalence with the rational coefficients version. The instructor revisits counter-examples to the integral Hodge conjecture from an étale motivic perspective, such as those by Atiyah-Hirzebruch, Kollar, and Benoist-Ottem.
Official source
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