## The Tate Conjecture

### Edited by org.aimpl.user:lyonsc@umich.edu

The problem list concerns a conjecture of Tate which characterizes the cohomology classes of algebraic cycles on an algebraic variety over a field $k$ that is finitely generated over the prime field in terms of the fixed space of even-dimensional $l$-adic etale cohomology under the action of the absolute Galois group $G$ of $k$.

### Sections

Cite this as: *AimPL: The Tate Conjecture, available at http://aimpl.org/tateconjecture.
*