Parametrization and reduction to depth zero of $\overline{\mathbb{Z}}[\frac{1}{p}]$-blocks of tame $p$-adic groups

Jean-François Dat, Jessica Fintzen

Let $G$ be a reductive group over a non-archimedean local field $F$ of residue characteristic $p$. We consider pairs $(\varphi ,I)$ consisting of a "wild inertia" Langlands parameter $ϕ:…