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Junior Geometry
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Natalie Hollenbaugh, RLM 12.166: The Tate Conjecture
Tuesday, February 18, 2020, 03:45pm - 04:45pm
The group of maps from one elliptic curve to another over a (finite) field are, after tensoring with Z_l, the maps between their Tate modules. This is a (very) special case of the Tate conjecture, which relates closed subvarieties to elements of l-adic etale cohomology, and considers fields that aren't algebraically closed. I'll talk about some of the basic constructions involved here.
Location: RLM 12.166

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