The Newton strata of a reductive $p$-adic group are introduced in \cite{Newton} and play some role in the representation theory of $p$-adic groups. In this paper, we give a geometric interpretation of the Newton strata.
Hochschild homology of reductive $p$-adic groups
Homological multiplicities in representation theory of $p$-adic groups
Generic representations, open parameters and ABV-packets for $p$-adic groups
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