摘要：In this talk, we will recall the definition of affine Deligne-Lusztig varieties in an affine flag varietiy. And then, we will follow X. He's Annals paper (2014) to introduce class polynomials for some affine Hecke algebras. We give both the algorithm and the explicit calculation of some class polynomials for the Hecke algebra of affine A2 case. Finally, we apply those class polynomials to the study of affine Deligne-Lusztig varieties.