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Simon Cooper: Introduction to Motives

Time: Fri 2023-02-10 13.15 - 14.15

Location: Seminar Room Kovalevsky

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I will give a very brief introduction to the theory of (pure) motives. The focus will be on the idea that motives should give us a universal cohomology theory, defined over the rationals, for smooth projective varieties. I will outline some properties the category of motives should satisfy in order to achieve this and, if I have time, highlight some important obstacles to proving that existing candidates for the category of pure motives satisfy these properties.