Abstract
Class polynomials attached to affine Hecke algebras were first introduced by X. He
in [12]. They play an important role in the study of affine Deligne-Lusztig varieties.
Motivated by [13], we compute the class polynomials attached to an affine Hecke algebra
of type (twisted) Ã2. Using these class polynomials we prove a conjecture of
Görtz-Haines-Kottwitz-Reuman for the general linear group, unitary group and division
algebra of semisimple rank 2. Furthermore, we discuss some interesting patterns
on affine Deligne-Lusztig varieties.
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