Pro-$p$ Iwahori-Hecke modules in semisimple rank one and singularity categories

Nicolas Dupré

Let $\mathfrak{F}$ be a non-archimedean local field of residue characteristic $p$ and $G$ be one of the groups ${\mathrm{GL}}_2(\mathfrak{F})$, ${\mathrm{SL}}_2(\mathfrak{F})$ or $\mat…