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Tate conjecture
In mathematics, the Tate conjecture is a 1963 conjecture of John Tate linking algebraic geometry, and more specifically the identification of algebraic cycles, with Galois modules coming from Ă©tale cohomology. It is unsolved in the general case, as of 2005, and, like the Hodge conjecture to which it is related at the level of some important analogies, it is generally taken to be one of the major problems in the field.
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