L. Clozel, ´ Equivalence num´erique et ´equivalence homologique pour les vari´et´es ab´eliennes sur les corps finis, Ann. Math. 150 (1999), 151–163. MR1715322
Harada preprints 2008
http://mathoverflow.net/questions/52248/questions-on-standard-motivic-conjectures
Lieberman: Numerical and homological equivalence of algebraic cycles on Hodge manifolds
Voevodsky: Nilpotence theorem for cycles algebraically equivalent to zero. Discusses smash nilpotence, the nilpotence conjectures, and various ideas related to mixed motives, theories of motivic type, the standard conjectures, and stuff about algebraic equivalence, for example mixed motives modulo alg equiv.
arXiv:1009.0413 The Standard Conjectures for holomorphic symplectic varieties deformation equivalent to Hilbert schemes of K3 surfaces from arXiv Front: math.AG by François Charles, Eyal Markman We prove the standard conjectures for complex projective varieties that are deformations of the Hilbert scheme of points on a K3 surface. The proof involves Verbitsky’s theory of hyperholomorphic sheaves and a study of the cohomology algebra of Hilbert schemes of K3 surfaces.
nLab page on Standard conjectures