The basic-class comparison conjecture for affine Deligne–Lusztig varieties
Basic-class comparison conjecture. There exists Nb∈Z≥0N_b\in\mathbb Z_{\ge 0}Nb∈Z≥0 such that, for every x∈W~x\in\widetilde Wx∈W with ℓ(x)≥Nb\ell(x)\ge N_bℓ(x)≥Nb,
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