Class polynomials attached to affine Hecke algebras were first introduced by X. He
in . They play an important role in the study of affine Deligne-Lusztig varieties.
Motivated by , 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.
Permanent URL for this record: https://lbezone.hkust.edu.hk/bib/b1334294