Representations of $p$-adic groups and orbits with smooth closure in a variety of Langlands parameters

Let $G$ be a reductive $p$-adic group for which the local Langlands correspondence is known, and $λ$ an infinitesimal parameter of $G$. In this paper, we prove that if the $p$-adic Kazhdan-Lusztig hypothesis holds for $λ$, then for a Langlands parameter $ϕ$ with infinitesimal parameter $λ$, if $Π_ϕ(